🔗 Problem

Problem: A rectangle has a length of 21m and a width of 37m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 21m and W = 37m.

    So, the perimeter P = 2(21 + 37) = 2(58) = <<2(58)=116>>116m.

    ### Answer: 116

Expected answer: 116

Correct? Yes

🔗 Follow-up

Problem: Now consider that the length of the rectangle has changed to 4m while the width remains at 37m. What is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 4m and W = 37m.

    So, the perimeter P = 2(4 + 37) = 2(41) = <<2(41)=82>>82m.

    ### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a length of 50 feet and a width of 20 feet. What is the perimeter of the garden?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 50 feet and the width is 20 feet.
    So, the perimeter is P = 2(50 + 20) = 2(70) = <<2*70=140>>140 feet.
    ### Answer: 140

Expected answer: 140

Correct? Yes

🔗 Follow-up

Problem: A landscaper plans to reduce the length of the rectangular garden to 15 feet while keeping the width the same. What will the new perimeter of the garden be?

DeepSeek 67B:

    Reasoning: The new length of the garden is 15 feet, and the width remains 20 feet.
    Using the formula P = 2(L + W), the new perimeter is P = 2(15 + 20) = 2(35) = <<2*35=70>>70 feet.
    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Problem

Problem: A rectangle has a width of 7m and a length of 26m. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 26m * 7m
    Area = 182 square meters
    ### Answer: 182

Expected answer: 182

Correct? Yes

🔗 Follow-up

Problem: The width of the rectangle stays the same at 7m, but the length extends by 9m to become 35m. What is the area of the rectangle now?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 35m * 7m
    Area = 245 square meters
    ### Answer: 245

Expected answer: 245

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 50m and a width of 15m. What is its perimeter?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 50m and W = 15m.

    So, the perimeter P = 2(50 + 15) = 2(65) = <<2*65=130>>130m.

    ### Answer: 130

Expected answer: 130

Correct? Yes

🔗 Follow-up

Problem: The rectangle mentioned in the previous problem had its width reduced to 9m while the length remained the same. What is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The new width of the rectangle is 9m, and the length remains 50m.

    Using the formula P = 2(L + W), the new perimeter P = 2(50 + 9) = 2(59) = <<2*59=118>>118m.

    ### Answer: 118

Expected answer: 118

Correct? Yes

🔗 Problem

Problem: A rectangular fence has a side length of 5m and another side of 19m. What is the total distance, in meters, around the fence (perimeter)?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is the sum of all its sides. In this case, the rectangle has two sides of length 5m and two sides of length 19m.

    So, the perimeter is 2*5m + 2*19m = 10m + 38m = 48m.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: The owner of the fence decided to extend the side that originally measured 19m to a new length of 36m, while the other side remains the same. After the extension, what will be the new total distance, in meters, around the fence (perimeter)?

DeepSeek 67B:

    Reasoning:
    The new perimeter will be the sum of the two sides of the rectangle. One side is still 5m, and the other side is now 36m.

    So, the new perimeter is 2*5m + 2*36m = 10m + 72m = 82m.

    ### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Problem

Problem: A rectangle has sides of length 49m and 6m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length of the rectangle is 49m and the width is 6m.
    So, the perimeter of the rectangle is P = 2(49 + 6) = 2(55) = 110m.
    ### Answer: 110

Expected answer: 110

Correct? Yes

🔗 Follow-up

Problem: Suppose we were mistaken in the original measurement, and one side of the rectangle was actually 17m instead of 49m. What would the new perimeter of the rectangle be?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length of the rectangle is 17m and the width is 6m.
    So, the perimeter of the rectangle is P = 2(17 + 6) = 2(23) = 46m.
    ### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Problem

Problem: Joshua plans to lay a wire around his rectangular garden. If the garden is 7m wide and 26m long, how much wire will Joshua need to enclose the garden completely?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length of the garden is 26m and the width is 7m.
    So, the perimeter of the garden is P = 2(26 + 7) = 2(33) = 66m.
    Therefore, Joshua will need 66m of wire to enclose the garden completely.
    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 18 meters and a width of 11 meters. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 18 meters and the width is 11 meters.
    So, the perimeter is P = 2(18 + 11) = 2(29) = 58 meters.
    ### Answer: 58

Expected answer: 58

Correct? Yes

🔗 Follow-up

Problem: Suppose the width of the rectangle changed to 44 meters, while the length remained at 18 meters. What would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 18 meters and the width is 44 meters.
    So, the perimeter is P = 2(18 + 44) = 2(62) = 124 meters.
    ### Answer: 124

Expected answer: 124

Correct? Yes

🔗 Problem

Problem: The dimensions of a rectangle are 22 feet by 39 feet. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 22 feet and the width is 39 feet.
    So, the perimeter is P = 2(22 + 39) = 2(61) = 122 feet.
    ### Answer: 122

Expected answer: 122

Correct? Yes

🔗 Follow-up

Problem: If the length of the rectangle is now 26 feet instead of 39 feet, while the width remains the same at 22 feet, what would then be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 26 feet and the width is 22 feet.
    So, the perimeter is P = 2(26 + 22) = 2(48) = 96 feet.
    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: A rectangle has two sides measuring 45m and the other two sides measuring 25m each. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all the sides together.
    The perimeter of this rectangle is 45+45+25+25 = <<45+45+25+25=140>>140m.
    ### Answer: 140

Expected answer: 140

Correct? Yes

🔗 Follow-up

Problem: In the previous rectangle question, suppose one of the sides measuring 45m was incorrectly assessed. The actual measurement is found to be 42m. With this new information, what would be the adjusted perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all the sides together.
    The adjusted perimeter of this rectangle is 42+42+25+25 = <<42+42+25+25=134>>134m.
    ### Answer: 134

Expected answer: 134

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a length of 8m and a width of 5m. What is the perimeter of this garden?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula: P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length (L) is 8m and the width (W) is 5m.

    So, the perimeter (P) of the garden is:

    P = 2(8 + 5)
    P = 2(13)
    P = 26m

    The perimeter of the garden is 26 meters.
    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Follow-up

Problem: The owner of the rectangular garden decided to extend its length to 46m while keeping the width the same, i.e., 5m. What is the new perimeter of the garden now?

DeepSeek 67B:

    Reasoning:
    The new length (L) of the garden is 46m, and the width (W) remains the same at 5m.

    The perimeter (P) of the new garden is:

    P = 2(46 + 5)
    P = 2(51)
    P = 102m

    The new perimeter of the garden is 102 meters.
    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Problem

Problem: In a rectangle, the length is 19 units and the width is 17 units. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 19 * 17
    Area = 323
    ### Answer: 323

Expected answer: 323

Correct? Yes

🔗 Follow-up

Problem: In the previous rectangle problem, what if the length was 22 units instead of 19 units while the width remained the same at 17 units? What would be the new area of the rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 22 * 17
    Area = 374
    ### Answer: 374

Expected answer: 374

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 42 meters and a width of 8 meters. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length L is 42 meters and the width W is 8 meters.

    So, the perimeter P is:

    P = 2(42 + 8)
    P = 2(50)
    P = 100 meters

    The perimeter of the rectangle is 100 meters.
    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: A rectangle has a width of 16m and a length of 38m. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 38m * 16m
    Area = 608 square meters
    ### Answer: 608

Expected answer: 608

Correct? Yes

🔗 Follow-up

Problem: In the rectangle from the previous problem, suppose we replace the length of 38m with a new length of 22m. What would the new area of the rectangle be?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 22m * 16m
    Area = 352 square meters
    ### Answer: 352

Expected answer: 352

Correct? Yes

🔗 Problem

Problem: Consider a rectangular plot of land. The plot has a length of 28m and a width of 17m. What is the area of the plot?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is calculated by multiplying its length by its width.

    Area = Length × Width

    Area = 28m × 17m

    Area = 476 square meters

    The area of the plot is 476 square meters.

Expected answer: 476

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 43m and a width of 41m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 43m and W = 41m.

    So, the perimeter P = 2(43 + 41) = 2(84) = <<2*84=168>>168m.

    ### Answer: 168

Expected answer: 168

Correct? Yes

🔗 Follow-up

Problem: Suppose the rectangle from the previous problem had its length reduced to 18m while keeping the width the same. What would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The new length of the rectangle is 18m, and the width remains 41m.

    Using the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width, we have:

    P = 2(18 + 41) = 2(59) = <<2*59=118>>118m.

    ### Answer: 118

Expected answer: 118

Correct? Yes

🔗 Problem

Problem: A rectangle has one side that measures 44m, and the other side that measures 17m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since opposite sides of a rectangle are equal in length, the perimeter of this rectangle is 2*44 + 2*17.

    The perimeter of the rectangle is 2*44 + 2*17 = <<2*44+2*17=122>>122m.
    ### Answer: 122

Expected answer: 122

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, we considered a rectangle with one side that measures 44m, and the other side that measures 17m. What would be the perimeter of the rectangle if instead the length of the second side were 21m?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since opposite sides of a rectangle are equal in length, the perimeter of this rectangle is 2*44 + 2*21.

    The perimeter of the rectangle is 2*44 + 2*21 = <<2*44+2*21=148>>148m.
    ### Answer: 148

Expected answer: 130

Correct? No

🔗 Problem

Problem: A rectangle's perimeter is twice the sum of its width and length. If the rectangle's width is 2m and its length is 20m, what is its perimeter?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the width is 2m and the length is 20m.
    So, the perimeter is P = 2(20 + 2) = 2(22) = 44m.
    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: If the width of the rectangle is increased from 2m to 32m, while keeping the length the same at 20m, what is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The new width of the rectangle is 32m and the length is still 20m.
    So, the new perimeter is P = 2(32 + 20) = 2(52) = 104m.
    ### Answer: 104

Expected answer: 104

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 4 meters and a width of 5 meters. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all four sides.
    The formula for the perimeter of a rectangle is P = 2(length + width).
    In this case, the length is 4 meters and the width is 5 meters.
    So, the perimeter is P = 2(4 + 5) = 2(9) = 18 meters.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Consider the same rectangle from before, but now suppose its length is extended to 42 meters while the width remains 5 meters. What would then be the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all four sides.
    The formula for the perimeter of a rectangle is P = 2(length + width).
    In this case, the length is 42 meters and the width is 5 meters.
    So, the perimeter is P = 2(42 + 5) = 2(47) = 94 meters.
    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 45m and a width of 37m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 45m and W = 37m.

    So, the perimeter P = 2(45 + 37) = 2(82) = <<2*(45+37)=164>>164m.

    ### Answer: 164

Expected answer: 164

Correct? Yes

🔗 Follow-up

Problem: If the length of the rectangle remains the same at 45m, but the width is increased to 47m, what would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 45m and W = 47m.

    So, the new perimeter P = 2(45 + 47) = 2(92) = <<2*(45+47)=184>>184m.

    ### Answer: 184

Expected answer: 184

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 27m and a width of 21m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 27m and W = 21m.

    So, the perimeter P = 2(27 + 21) = 2(48) = <<2(48)=96>>96m.

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: Suppose we extended the length of the rectangle from the previous problem to 45m, while keeping the width at 21m. What would the new perimeter of this rectangle be?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 45m and W = 21m.

    So, the perimeter P = 2(45 + 21) = 2(66) = <<2(66)=132>>132m.

    ### Answer: 132

Expected answer: 132

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a length of 30m and a width of 20m. What is the perimeter of the garden?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length is 30m and the width is 20m.

    So, the perimeter of the garden is P = 2(30 + 20) = 2(50) = <<2*50=100>>100m.

    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

Problem: Suppose the width of the rectangular garden is increased to 48m, while the length remains the same at 30m. What would be the new perimeter of the garden?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length is 30m and the width is 48m.

    So, the new perimeter of the garden is P = 2(30 + 48) = 2(78) = <<2*78=156>>156m.

    ### Answer: 156

Expected answer: 156

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 30m and a width of 27m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 30m and W = 27m.
    So, the perimeter P = 2(30 + 27) = 2(57) = <<2(30+27)=114>>114m.
    ### Answer: 114

Expected answer: 114

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 23m and a width of 11m. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 23m * 11m
    Area = 253 square meters
    ### Answer: 253

Expected answer: 253

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 3m and a width of 9m. What would be the total perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all its sides. Since a rectangle has two pairs of equal sides, we can calculate the perimeter by adding the length of one side to the length of the opposite side, and then multiplying the result by 2.

    In this case, the length of one side is 3m and the length of the opposite side is 9m. So, the perimeter of the rectangle is (3m + 9m) * 2 = 12m * 2 = 24m.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, suppose the length of the rectangle is still 3m, but now the width has increased to 13m. What is the new total perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all its sides. Since a rectangle has two pairs of equal sides, we can calculate the perimeter by adding the length of one side to the length of the opposite side, and then multiplying the result by 2.

    In this case, the length of one side is 3m and the length of the opposite side is 13m. So, the perimeter of the rectangle is (3m + 13m) * 2 = 16m * 2 = 32m.

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 31m and a width of 6m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 31m and W = 6m.

    So, the perimeter P = 2(31 + 6) = 2(37) = <<2*37=74>>74m.

    ### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Follow-up

Problem: Now consider, if instead of a length of 31m, the rectangle had a length of 43m but the width remained the same at 6m. What would be the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 43m and W = 6m.

    So, the perimeter P = 2(43 + 6) = 2(49) = <<2*49=98>>98m.

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 12m and a width of 33m. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 12m * 33m
    Area = 396m^2
    ### Answer: 396

Expected answer: 396

Correct? Yes

🔗 Follow-up

Problem: Now, consider that the length of the rectangle was initially 18m instead of 12m, while the width remains the same at 33m. What would be the area of the rectangle in this scenario?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 18m * 33m
    Area = 594m^2
    ### Answer: 594

Expected answer: 594

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 20m and all of its sides are of equal length. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning:
    Since all sides of the rectangle are of equal length, it is a square.
    The perimeter of a square is calculated by multiplying the length of one side by 4.
    So, the perimeter of this square is 20m * 4 = 80m.
    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Problem

Problem: A rectangular playground has a length of 35m and a width of 9m. What is the perimeter of the playground?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula: 2*(length + width).
    In this case, the length is 35m and the width is 9m.

    Solution:
    Perimeter = 2*(35 + 9) = 2*44 = <<2*(35+9)=88>>88m.
    The answer is: 88

Expected answer: 88

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 9m and a width of 25m. What is the area of the rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = 9m * 25m = <<9*25=225>>225 square meters.
    ### Answer: 225

Expected answer: 225

Correct? Yes

🔗 Follow-up

Problem: Suppose the length of the rectangle was actually 16m and the width remained the same at 9m. What would be the new area of the rectangle in this case?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = 16m * 9m = <<16*9=144>>144 square meters.
    ### Answer: 144

Expected answer: 144

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 13m and a width of 43m. What is the area of the rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 13m * 43m
    Area = 559 square meters
    ### Answer: 559

Expected answer: 559

Correct? Yes

🔗 Follow-up

Problem: Suppose we realized later that the width of the rectangle was actually 42m, not 43m. What would then be the area of the rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 13m * 42m
    Area = 546 square meters
    ### Answer: 546

Expected answer: 546

Correct? Yes

🔗 Problem

Problem: A rectangle has a width of 27m and a length of 47m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 47m and the width is 27m.
    So, the perimeter is P = 2(47 + 27) = 2(74) = <<2(74)=148>>148m.
    ### Answer: 148

Expected answer: 148

Correct? Yes

🔗 Follow-up

Problem: Suppose the width of the rectangle is actually 9m instead of 27m. What would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 47m and the width is 9m.
    So, the perimeter is P = 2(47 + 9) = 2(56) = <<2(56)=112>>112m.
    ### Answer: 112

Expected answer: 112

Correct? Yes

🔗 Problem

Problem: A rectangular football field has an area of 21m * 42m, calculate the area of the football field.

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is calculated by multiplying its length by its width.

    In this case, the length of the football field is 21m and the width is 42m.

    So, the area of the football field is 21m * 42m = 882 square meters.

    ### Answer: 882

Expected answer: 882

Correct? Yes

🔗 Problem

Problem: A rectangle's area is found by multiplying its length by its width. If the width of a certain rectangle is 27m and the length is 25m, what is the area of the rectangle?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is found by multiplying its length by its width.
    The width of the rectangle is 27m and the length is 25m.
    So, the area of the rectangle is 27m * 25m = 675m^2.
    ### Answer: 675

Expected answer: 675

Correct? Yes

🔗 Follow-up

Problem: Suppose the width of the rectangle in the previous problem was not 27m, but was instead 11m, with the length remaining at 25m. What would then be the new area of the rectangle?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is found by multiplying its length by its width.
    The width of the rectangle is now 11m and the length is still 25m.
    So, the area of the rectangle is 11m * 25m = 275m^2.
    ### Answer: 275

Expected answer: 275

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 45m and a width of 48m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 45m and W = 48m.

    So, the perimeter P = 2(45 + 48) = 2(93) = <<2*93=186>>186m.

    ### Answer: 186

Expected answer: 186

Correct? Yes

🔗 Follow-up

Problem: In the previous example, consider if the width of the rectangle was actually 34m instead of 48m. Now, what would be the perimeter of that rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 45m and W = 34m.

    So, the perimeter P = 2(45 + 34) = 2(79) = <<2*79=158>>158m.

    ### Answer: 158

Expected answer: 158

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 11 meters and a width of 7 meters. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 11 meters and the width is 7 meters.
    So, the perimeter is P = 2(11 + 7) = 2(18) = 36 meters.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: Suppose the length of the rectangle was instead 10 meters while the width remained 7 meters. What would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 10 meters and the width is 7 meters.
    So, the perimeter is P = 2(10 + 7) = 2(17) = 34 meters.
    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A rectangular field has a length of 30m and a width of 2m. Can you calculate the perimeter of the field?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is calculated by adding all its sides. Since a rectangle has opposite sides of equal length, we can calculate the perimeter by adding the lengths of two pairs of opposite sides.

    In this case, the length of the rectangle is 30m and the width is 2m. So, the two pairs of opposite sides are:

    1. Length: 30m
    2. Width: 2m
    3. Length: 30m
    4. Width: 2m

    Now, we can calculate the perimeter by adding the lengths of these sides:

    Perimeter = (Length + Width) + (Length + Width)
    Perimeter = (30m + 2m) + (30m + 2m)
    Perimeter = 32m + 32m
    Perimeter = 64m

    So, the perimeter of the rectangular field is 64 meters.

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: A rectangle has one side that is 7m long and another side that is 8m long. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since the rectangle has two sides of length 7m and two sides of length 8m, the perimeter is 2*(7m + 8m) = 2*(15m) = 30m.
    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

Problem: Consider that the length of the rectangle was originally 19m instead of 7m. How would the new perimeter be calculated then?

DeepSeek 67B:

    Reasoning: If the length of the rectangle was originally 19m instead of 7m, the perimeter would be calculated as 2*(19m + 8m) = 2*(27m) = 54m.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 14m and a width of 18m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 14m and W = 18m.
    So, the perimeter P = 2(14 + 18) = 2(32) = <<2*32=64>>64m.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Now let's consider another rectangle. The length of this rectangle is 9m rather than 14m, while the width remains the same at 18m. What is the perimeter of this new rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 9m and W = 18m.
    So, the perimeter P = 2(9 + 18) = 2(27) = <<2*27=54>>54m.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 43 units and a width of 3 units. Calculate the perimeter of this rectangle.

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is calculated by adding all its sides. Since a rectangle has opposite sides of equal length, we can calculate the perimeter by adding the length of one side to the length of the opposite side, and then doubling that sum.

    In this case, the length of the rectangle is 43 units and the width is 3 units. So, the perimeter P can be calculated as follows:

    P = 2 * (length + width)
    P = 2 * (43 + 3)
    P = 2 * 46
    P = 92 units

    So, the perimeter of the rectangle is 92 units.

Expected answer: 92

Correct? Yes

🔗 Problem

Problem: A rectangle has one side that measures 36 meters and another side that measures 42 meters. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since opposite sides of a rectangle are equal in length, the perimeter of this rectangle is 2 * (36 + 42) = 156 meters.
    ### Answer: 156

Expected answer: 156

Correct? Yes

🔗 Follow-up

Problem: Now suppose that the longer side of the rectangle measures 48 meters instead of 42. What would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since opposite sides of a rectangle are equal in length, the new perimeter of this rectangle is 2 * (36 + 48) = 168 meters.
    ### Answer: 168

Expected answer: 168

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 1m and a width of 6m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all four sides.
    The length of the rectangle is 1m and the width is 6m.
    So, the perimeter is 1m + 6m + 1m + 6m = 14m.
    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Follow-up

Problem: Now consider that the length of the rectangle has changed to 28m, while the width remains at 6m. What is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all four sides.
    The length of the rectangle is now 28m and the width is still 6m.
    So, the new perimeter is 28m + 6m + 28m + 6m = 68m.
    ### Answer: 68

Expected answer: 68

Correct? Yes

🔗 Problem

Problem: A rectangle has two sides measuring 45m and two sides measuring 8m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all four sides together. In this case, we have two sides measuring 45m and two sides measuring 8m.

    Perimeter = 45m + 45m + 8m + 8m = 108m

    ### Answer: 108

Expected answer: 106

Correct? No

🔗 Problem

Problem: A rectangular garden has a length of 25 meters and a width of 37 meters. What is the perimeter of the garden?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula: P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length (L) is 25 meters and the width (W) is 37 meters.

    Calculating the perimeter:
    P = 2(25 + 37)
    P = 2(62)
    P = 124 meters

    The perimeter of the garden is 124 meters.
    ### Answer: 124

Expected answer: 124

Correct? Yes

🔗 Follow-up

Problem: Suppose we reduce the length of the garden from 25 meters to 16 meters, while the width remains unchanged at 37 meters. What would be the new perimeter of the garden?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula: P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length (L) is 16 meters and the width (W) is 37 meters.

    Calculating the new perimeter:
    P = 2(16 + 37)
    P = 2(53)
    P = 106 meters

    The new perimeter of the garden is 106 meters.
    ### Answer: 106

Expected answer: 106

Correct? Yes

🔗 Problem

Problem: A rectangle has length 36m and width 3m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where L is the length and W is the width.
    In this case, L = 36m and W = 3m.
    So, the perimeter P = 2(36 + 3) = 2(39) = <<2*39=78>>78m.
    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

Problem: Suppose we made a change to the rectangle from the previous problem. Instead of a length of 36m, we shortened it to only 1m. What would be the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where L is the length and W is the width.
    In this case, L = 1m and W = 3m.
    So, the perimeter P = 2(1 + 3) = 2(4) = <<2*4=8>>8m.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a length of 45 meters and a width of 50 meters. Calculate the perimeter of the garden.

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is calculated by adding all its sides. Since the garden is a rectangle, we can use the formula for the perimeter of a rectangle: P = 2(length + width).

    Solution:
    The perimeter of the garden is P = 2(45 + 50) = 2(95) = 190 meters.
    ### Answer: 190

Expected answer: 190

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 44m and a width of 34m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 44m and W = 34m.

    So, the perimeter P = 2(44 + 34) = 2(78) = <<2*78=156>>156m.

    ### Answer: 156

Expected answer: 156

Correct? Yes

🔗 Follow-up

Problem: Now suppose the width of the rectangle changes to 36m while the length remains the same at 44m. What would be the new perimeter of the rectangle in this case?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 44m and W = 36m.

    So, the perimeter P = 2(44 + 36) = 2(80) = <<2*80=160>>160m.

    ### Answer: 160

Expected answer: 160

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 42 m and a width of 29 m. Calculate the perimeter of the rectangle.

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is calculated by adding all its sides. Since a rectangle has opposite sides of equal length, we can calculate the perimeter by adding the length of one side to the length of the opposite side, and then doubling that sum.

    In this case, the length of the rectangle is 42 m and the width is 29 m. So, the perimeter P can be calculated as follows:

    P = 2 × (length + width)
    P = 2 × (42 + 29)
    P = 2 × 71
    P = 142

    The perimeter of the rectangle is 142 m.
    ### Answer: 142

Expected answer: 142

Correct? Yes

🔗 Follow-up

Problem: Suppose the width of the rectangle was actually 38 m instead of 29 m. What would then be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is calculated by adding all its sides. Since a rectangle has opposite sides of equal length, we can calculate the perimeter by adding the length of one side to the length of the opposite side, and then doubling that sum.

    In this case, the length of the rectangle is 42 m and the width is 38 m. So, the perimeter P can be calculated as follows:

    P = 2 × (length + width)
    P = 2 × (42 + 38)
    P = 2 × 80
    P = 160

    The new perimeter of the rectangle is 160 m.
    ### Answer: 160

Expected answer: 160

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 44 meters and a width of 35 meters. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length L is 44 meters and the width W is 35 meters.

    So, the perimeter P is:

    P = 2(44 + 35)
    P = 2(79)
    P = 158 meters

    The perimeter of the rectangle is 158 meters.
    ### Answer: 158

Expected answer: 158

Correct? Yes

🔗 Follow-up

Problem: Consider the same rectangle from the previous problem, but now the width has changed to 43 meters while the length remains the same at 44 meters. What is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length L is 44 meters and the width W is 43 meters.

    So, the perimeter P is:

    P = 2(44 + 43)
    P = 2(87)
    P = 174 meters

    The new perimeter of the rectangle is 174 meters.
    ### Answer: 174

Expected answer: 174

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 44m and a width of 45m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 44m and W = 45m.
    So, the perimeter P = 2(44 + 45) = 2(89) = <<2*89=178>>178m.
    ### Answer: 178

Expected answer: 178

Correct? Yes

🔗 Follow-up

Problem: The previous rectangle had its width increased from 45m to 48m while keeping the length the same. What is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The new width is 48m, and the length remains the same at 44m.
    Using the formula P = 2(L + W), the new perimeter P = 2(44 + 48) = 2(92) = <<2*92=184>>184m.
    ### Answer: 184

Expected answer: 184

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 3 meters and a width of 39 meters. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 3 meters and the width is 39 meters.
    So, the perimeter is P = 2(3 + 39) = 2(42) = 84 meters.
    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

Problem: Suppose the length of the rectangle was actually 17 meters instead of 3 meters, keeping the width the same. What would be the new perimeter of the rectangle now?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 17 meters and the width is 39 meters.
    So, the perimeter is P = 2(17 + 39) = 2(56) = 112 meters.
    ### Answer: 112

Expected answer: 112

Correct? Yes

🔗 Problem

Problem: A rectangular garden has sides that measure 32m and 12m. What is the perimeter of this garden?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is calculated by adding all four sides. Since opposite sides of a rectangle are equal in length, we can calculate the perimeter as follows:

    Perimeter = 2 * (length + width)

    In this case, the length is 32m and the width is 12m.

    Perimeter = 2 * (32m + 12m)
    Perimeter = 2 * (44m)
    Perimeter = 88m

    The perimeter of the garden is 88 meters.

Expected answer: 88

Correct? Yes

🔗 Problem

Problem: A rectangular swimming pool has a length of 24 feet and a width of 6 feet. What is the perimeter of the swimming pool?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 24 feet and the width is 6 feet.
    So, the perimeter of the swimming pool is P = 2(24 + 6) = 2(30) = <<2(30)=60>>60 feet.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 27m and a width of 21m. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 27m * 21m
    Area = 567 square meters
    ### Answer: 567

Expected answer: 567

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, the rectangle had a length of 27m and a width of 21m. Now, consider that the width of the rectangle is instead 8m. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 27m * 8m
    Area = 216 square meters
    ### Answer: 216

Expected answer: 216

Correct? Yes

🔗 Problem

Problem: A rectangle has twice the length of a square. If the square's side is 49m, what is the length of the rectangle?

DeepSeek 67B:

    Reasoning:
    The square's side is 49m, so its area is 49*49 = 2401m^2.
    The rectangle has twice the length of the square, so its length is 2*49 = 98m.
    The rectangle's width is the same as the square's side, so it is 49m.
    The rectangle's area is 98*49 = 4802m^2.
    The length of the rectangle is 98m.
    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, we found the length of the rectangle when the square's side was 49m. Now, consider a square with a side length of 18m. What would be the length of the rectangle if it's still twice the length of the square?

DeepSeek 67B:

    Reasoning:
    The square's side is 18m, so its area is 18*18 = 324m^2.
    The rectangle has twice the length of the square, so its length is 2*18 = 36m.
    The rectangle's width is the same as the square's side, so it is 18m.
    The rectangle's area is 36*18 = 648m^2.
    The length of the rectangle is 36m.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 50m and a width of 36m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 50m and W = 36m.

    So, the perimeter P = 2(50 + 36) = 2(86) = <<2*86=172>>172m.

    ### Answer: 172

Expected answer: 172

Correct? Yes

🔗 Follow-up

Problem: In our previous rectangle, if we now increase the width from 36m to 44m, while keeping the length the same, what will be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 50m and W = 44m.

    So, the new perimeter P = 2(50 + 44) = 2(94) = <<2*94=188>>188m.

    ### Answer: 188

Expected answer: 188

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 8m and a width of 44m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length L is 8m and the width W is 44m.

    So, the perimeter P is:

    P = 2(8 + 44)
    P = 2(52)
    P = 104m

    The perimeter of the rectangle is 104m.
    ### Answer: 104

Expected answer: 104

Correct? Yes

🔗 Follow-up

Problem: Consider the same rectangle from the previous problem, but now its length increases to 40m, while the width remains the same at 44m. What is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, the length L is 40m and the width W is 44m.

    So, the perimeter P is:

    P = 2(40 + 44)
    P = 2(84)
    P = 168m

    The new perimeter of the rectangle is 168m.
    ### Answer: 168

Expected answer: 168

Correct? Yes

🔗 Problem

Problem: If a rectangle has a length of 47 feet and a width of 21 feet, what is the area of the rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = 47 feet * 21 feet = <<47*21=987>>987 square feet.
    ### Answer: 987

Expected answer: 987

Correct? Yes

🔗 Follow-up

Problem: Now, suppose we adjusted the measurements of the previous rectangle. If the length of the rectangle remained the same at 21 feet, but the width of the rectangle was reduced to 15 feet, what would the new area of the rectangle be?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = 21 feet * 15 feet = <<21*15=315>>315 square feet.
    ### Answer: 315

Expected answer: 315

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 19m and a breadth of 28m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + B), where L is the length and B is the breadth.

    In this case, L = 19m and B = 28m.

    So, the perimeter of the rectangle is P = 2(19 + 28) = 2(47) = <<2(47)=94>>94m.

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, what if the length of the rectangle was 27m instead of 19m while keeping the breadth the same? What would be the new perimeter?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + B), where L is the length and B is the breadth.

    In this case, L = 27m and B = 28m.

    So, the perimeter of the rectangle is P = 2(27 + 28) = 2(55) = <<2(55)=110>>110m.

    ### Answer: 110

Expected answer: 110

Correct? Yes

🔗 Problem

Problem: One side of a rectangle is four times the length of the other side. If the longer side measures 39 meters, what is the area of the rectangle when the shorter side is 10 meters?

DeepSeek 67B:

    Reasoning:
    If the longer side of the rectangle measures 39 meters and is four times the length of the shorter side, then the shorter side measures 39/4 = 9.75 meters.
    The area of a rectangle is calculated by multiplying the length of the longer side by the length of the shorter side.
    So, the area of the rectangle is 39 * 9.75 = 382.5 square meters.
    ### Answer: 382.5

Expected answer: 390

Correct? No

🔗 Problem

Problem: A rectangle has identical sides, each measuring 19 meters. What is the total perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    Since the rectangle has identical sides, it is a square.
    The perimeter of a square is calculated by multiplying the length of one side by 4.
    So, the perimeter of the square is 19 meters * 4 = 76 meters.
    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

Problem: The rectangle mentioned in the previous problem has been resized. The new rectangle now has a length of 19 meters but a width of 6 meters. What is the new total perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is calculated by adding the lengths of all its sides.
    In this case, the rectangle has a length of 19 meters and a width of 6 meters.
    So, the perimeter is 19 meters + 6 meters + 19 meters + 6 meters = 50 meters.
    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Problem

Problem: The area of a rectangle is given by the equation length * width. If the length is 9m and the width is 26m, what is the area of the rectangle?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is given by the equation length * width.
    If the length is 9m and the width is 26m, then the area is 9m * 26m.

    Area = 9m * 26m = 234m^2

    The area of the rectangle is 234m^2.

Expected answer: 234

Correct? Yes

🔗 Problem

Problem: A rectangle has one side measuring 19cm and another side measuring 7cm. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides.
    The perimeter of the rectangle is 19+7+19+7 = <<19+7+19+7=52>>52 cm.
    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Follow-up

Problem: Suppose we extended the rectangle's length from the previous question from 19cm to 21cm. In this case, what would be the new perimeter?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides.
    The new perimeter of the rectangle is 21+7+21+7 = <<21+7+21+7=56>>56 cm.
    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Problem

Problem: A shutter is in the shape of a rectangle. Its length is 10m and its width is 6m. What is the total area of the shutter?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is calculated by multiplying its length by its width.
    So, the area of the shutter is 10m * 6m = 60 square meters.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 24 units and a width of 15 units. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 24 units and the width is 15 units.
    So, the perimeter is P = 2(24 + 15) = 2(39) = <<2(39)=78>>78 units.
    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

Problem: Now, imagine the rectangle's width was reduced to 10 units, while the length remained 24 units. What would be the new perimeter of the rectangle under these conditions?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 24 units and the width is 10 units.
    So, the perimeter is P = 2(24 + 10) = 2(34) = <<2(34)=68>>68 units.
    ### Answer: 68

Expected answer: 68

Correct? Yes

🔗 Problem

Problem: If a rectangular plot of land has a length of 32m and a width of 27m, what is the area of the plot in square meters?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is calculated by multiplying its length by its width.

    Area = Length * Width

    Area = 32m * 27m

    Area = 864 square meters

    The area of the plot is 864 square meters.
    ### Answer: 864

Expected answer: 864

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, suppose the width of the rectangular plot of land was actually 18m rather than 27m. What would then be the area of the plot in square meters?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is calculated by multiplying its length by its width.

    Area = Length * Width

    Area = 32m * 18m

    Area = 576 square meters

    The area of the plot is 576 square meters.
    ### Answer: 576

Expected answer: 576

Correct? Yes

🔗 Problem

Problem: A rectangle has one side that measures 15m and another side that measures 10m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides.
    Since the rectangle has two sides of length 15m and two sides of length 10m, the perimeter is 2*15m + 2*10m = 30m + 20m = 50m.
    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: Now consider the rectangle has one side that measures 33m instead of 15m while the other side still measures 10m. What is the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides.
    Since the rectangle has two sides of length 33m and two sides of length 10m, the perimeter is 2*33m + 2*10m = 66m + 20m = 86m.
    ### Answer: 86

Expected answer: 86

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 44m and a width of 37m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 44m and W = 37m.

    So, the perimeter P = 2(44 + 37) = 2(81) = <<2*81=162>>162m.

    ### Answer: 162

Expected answer: 162

Correct? Yes

🔗 Follow-up

Problem: What would the perimeter of the rectangle be if the length was 25m instead of 44m but the width remained the same at 37m?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 25m and W = 37m.

    So, the perimeter P = 2(25 + 37) = 2(62) = <<2*62=124>>124m.

    ### Answer: 124

Expected answer: 124

Correct? Yes

🔗 Problem

Problem: A rectangle has length of 14 cm and width 8 cm. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where L is the length and W is the width.
    In this case, the length is 14 cm and the width is 8 cm.
    So, the perimeter is P = 2(14 + 8) = 2(22) = <<2(14+8)=44>>44 cm.
    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: If the length of the rectangle remains 14 cm, but the width is increased to 18 cm, what would be the new perimeter of the rectangle now?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where L is the length and W is the width.
    In this case, the length is 14 cm and the width is 18 cm.
    So, the perimeter is P = 2(14 + 18) = 2(32) = <<2(14+18)=64>>64 cm.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 26m and a width of 28m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 26m and W = 28m.

    So, the perimeter P = 2(26 + 28) = 2(54) = <<2*54=108>>108m.

    ### Answer: 108

Expected answer: 108

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, if the rectangle was actually a square with all sides measuring 26m, what would the new perimeter be?

DeepSeek 67B:

    Reasoning: The perimeter of a square is given by the formula P = 4s, where P is the perimeter and s is the side length.

    In this case, s = 26m.

    So, the perimeter P = 4(26) = <<4*26=104>>104m.

    ### Answer: 104

Expected answer: 104

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 15m and a width of 37m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 15m and W = 37m.

    So, the perimeter P = 2(15 + 37) = 2(52) = <<2(15+37)=104>>104m.

    ### Answer: 104

Expected answer: 104

Correct? Yes

🔗 Follow-up

Problem: The width of the rectangle mentioned in the previous problem is now changed to 19m, while the length is still 15m. What is the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 15m and W = 19m.

    So, the perimeter P = 2(15 + 19) = 2(34) = <<2(15+19)=68>>68m.

    ### Answer: 68

Expected answer: 68

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 42m and a width of 40m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 42m and W = 40m.

    So, the perimeter P = 2(42 + 40) = 2(82) = <<2*82=164>>164m.

    ### Answer: 164

Expected answer: 164

Correct? Yes

🔗 Follow-up

Problem: The rectangle you were previously given now has a length of 42m and the width has been adjusted to 24m. What is the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 42m and W = 24m.

    So, the perimeter P = 2(42 + 24) = 2(66) = <<2*66=132>>132m.

    ### Answer: 132

Expected answer: 132

Correct? Yes

🔗 Problem

Problem: A rectangular garden has one side that measures 21 feet and another side that measures 30 feet. What is the perimeter of the garden?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all four sides. In this case, the perimeter is 21 + 30 + 21 + 30 = 102 feet.
    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Follow-up

Problem: Now, imagine that the side of the garden that initially measured 30 feet was actually only 5 feet long. What would be the new perimeter of the garden?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding all four sides. In this case, the perimeter is 21 + 5 + 21 + 5 = 52 feet.
    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Problem

Problem: A certain playground is in the shape of a rectangle. The area of the playground is given as the product of 17 and 44. How many square meters is the playground?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is given by the formula: length * width.
    In this case, the area of the playground is given as the product of 17 and 44.
    So, the area of the playground is 17 * 44 = 748 square meters.
    ### Answer: 748

Expected answer: 748

Correct? Yes

🔗 Follow-up

Problem: Let's assume that the length of the playground was mistakenly recorded. Instead of 44m, the correct measurement is 37m. Given this information, how many square meters is the playground now?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is given by the formula: length * width.
    In this case, the length of the playground is 37m and the width is 17m.
    So, the area of the playground is 37 * 17 = 629 square meters.
    ### Answer: 629

Expected answer: 629

Correct? Yes

🔗 Problem

Problem: Rectangle ABCD has a width of 47m and a length of 50m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 50m and the width is 47m.
    So, the perimeter is P = 2(50 + 47) = 2(97) = <<2*97=194>>194m.
    ### Answer: 194

Expected answer: 194

Correct? Yes

🔗 Follow-up

Problem: Now consider that the rectangle ABCD's dimensions have changed slightly. The width is still 47m, but the length has adjusted to 48m. What is the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 48m and the width is 47m.
    So, the perimeter is P = 2(48 + 47) = 2(95) = <<2*95=190>>190m.
    ### Answer: 190

Expected answer: 190

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 11m and a width of 31m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 11m and W = 31m.
    So, the perimeter of the rectangle is P = 2(11 + 31) = 2(42) = <<2(42)=84>>84m.
    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

Problem: Suppose we later find out that the actual length of the rectangle is 36m, not 11m as we originally thought, while the width remains the same at 31m. What would then be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 36m and W = 31m.
    So, the new perimeter of the rectangle is P = 2(36 + 31) = 2(67) = <<2(67)=134>>134m.
    ### Answer: 134

Expected answer: 134

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a length of 39m and a width of 19m. What is the area of this garden?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 39m * 19m
    Area = 741 square meters
    ### Answer: 741

Expected answer: 741

Correct? Yes

🔗 Follow-up

Problem: If the length of the rectangular garden was actually 35m instead of 39m, keeping the width the same, what would be the new area of the garden?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 35m * 19m
    Area = 665 square meters
    ### Answer: 665

Expected answer: 665

Correct? Yes

🔗 Problem

Problem: A carpenter wants to install a wooden floor in a rectangular hallway. The wooden plank has a width of 29 cm and the carpenter has cut it to a length of 11 cm. How many square centimeters of area does one cut wooden plank cover?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    The area of one cut wooden plank is 29 cm * 11 cm = <<29*11=319>>319 square centimeters.
    ### Answer: 319

Expected answer: 319

Correct? Yes

🔗 Follow-up

Problem: If instead the carpenter decided to cut the same 29 cm wide wooden plank into shorter lengths of 5 cm each, how many square centimeters of area does one of these shorter cut wooden planks cover?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    The area of one cut wooden plank is 29 cm * 5 cm = <<29*5=145>>145 square centimeters.
    ### Answer: 145

Expected answer: 145

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 25m and a width of 11m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 25m and W = 11m.

    So, the perimeter P = 2(25 + 11) = 2(36) = <<2(36)=72>>72m.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: Now, suppose the rectangle's width is changed from 11m to 17m. What will be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 25m and W = 17m.

    So, the new perimeter P = 2(25 + 17) = 2(42) = <<2(42)=84>>84m.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 49m and a breadth of 9m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + B), where L is the length and B is the breadth.

    In this case, L = 49m and B = 9m.

    So, the perimeter of the rectangle is P = 2(49 + 9) = 2(58) = <<2(58)=116>>116m.

    ### Answer: 116

Expected answer: 116

Correct? Yes

🔗 Follow-up

Problem: Suppose that the breadth of the same rectangle was instead 19m, while the length remains the same at 49m. What would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + B), where L is the length and B is the breadth.

    In this case, L = 49m and B = 19m.

    So, the perimeter of the rectangle is P = 2(49 + 19) = 2(68) = <<2(68)=136>>136m.

    ### Answer: 136

Expected answer: 136

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 16m and a width of 7m. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 16m * 7m
    Area = 112 square meters
    ### Answer: 112

Expected answer: 112

Correct? Yes

🔗 Problem

Problem: The perimeter of a rectangular playground is found by the formula 2*(Length + Breadth). If the length of the playground is 14m and the breadth is 2m, what is the perimeter of the playground?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangular playground is found by the formula 2*(Length + Breadth).
    The length of the playground is 14m and the breadth is 2m.
    So, the perimeter of the playground is 2*(14 + 2) = 2*16 = 32m.
    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Follow-up

Problem: Now, consider that the breadth of the rectangular playground is changed to 3m, keeping the length the same as before (14m). What is the new perimeter of the playground?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangular playground is found by the formula 2*(Length + Breadth).
    The length of the playground is 14m and the breadth is 3m.
    So, the new perimeter of the playground is 2*(14 + 3) = 2*17 = 34m.
    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A square has a side length of 16 units. What is the perimeter of the square?

DeepSeek 67B:

    Reasoning: The perimeter of a square is calculated by multiplying the side length by 4.
    The perimeter of the square is 16*4 = <<16*4=64>>64 units.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, the square's side length was 16 units. Now consider a rectangle with a length of 22 units and a width of 16 units. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the length of all four sides.
    The perimeter of the rectangle is (2*22)+(2*16) = <<(2*22)+(2*16)=76>>76 units.
    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a width of 7 meters and a length of 21 meters. What is the perimeter of this garden?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula: P = 2(length + width)
    In this case, the length is 21 meters and the width is 7 meters.

    Solution:
    P = 2(21 + 7) = 2(28) = 56 meters
    The perimeter of the garden is 56 meters.
    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Follow-up

Problem: The width of the garden remains the same, but the length is reduced to 17 meters. Now, what is the new perimeter of the garden?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula: P = 2(length + width)
    In this case, the length is 17 meters and the width is 7 meters.

    Solution:
    P = 2(17 + 7) = 2(24) = 48 meters
    The new perimeter of the garden is 48 meters.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 20 meters and a width of 5 meters. What is the area of the rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 20 * 5
    Area = 100 square meters
    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, we calculated the area of a rectangle with a length of 20 meters and a width of 5 meters. This time, instead of having the width as 5 meters, we have a new rectangle where the width is 17 meters. With the length still being 20 meters, what is the area of this new rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 20 * 17
    Area = 340 square meters
    ### Answer: 340

Expected answer: 340

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 37m and a width of 43m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 37m and W = 43m.

    So, the perimeter P = 2(37 + 43) = 2(80) = <<2*80=160>>160m.

    ### Answer: 160

Expected answer: 160

Correct? Yes

🔗 Follow-up

Problem: Suppose the length of the rectangle is now changed to 32m while the width remains the same at 43m. What will be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 32m and W = 43m.

    So, the new perimeter P = 2(32 + 43) = 2(75) = <<2*75=150>>150m.

    ### Answer: 150

Expected answer: 150

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 9m. If the width of the rectangle is 1m, what is the area?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 9m * 1m
    Area = 9 square meters
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, we considered a rectangle with a length of 9m and a width of 1m. Now, consider if the width of the rectangle was actually 40m instead of 1m. What would be the new area of the rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    Area = length * width
    Area = 9m * 40m
    Area = 360 square meters
    ### Answer: 360

Expected answer: 360

Correct? Yes

🔗 Problem

Problem: A rectangle's area is the product of 22m and 23m. What is the area of the rectangle?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 22m and the width is 23m.

    Solution:
    The area of the rectangle is 22m * 23m = 506 square meters.
    ### Answer: 506

Expected answer: 506

Correct? Yes

🔗 Follow-up

Problem: What if we reconsider the area of the rectangle, but this time its width is 6m instead of 23m, while maintaining the length at 22m. What would then be the area of the rectangle?

DeepSeek 67B:

    Reasoning:
    The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 22m and the width is 6m.

    Solution:
    The area of the rectangle is 22m * 6m = 132 square meters.
    ### Answer: 132

Expected answer: 132

Correct? Yes

🔗 Problem

Problem: A rectangle has one side that measures 14 cm and another side that measures 21 cm. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since opposite sides of a rectangle are equal in length, the perimeter of this rectangle is 2 * (14 cm + 21 cm).

    Perimeter = 2 * (14 cm + 21 cm) = 2 * 35 cm = <<2*35=70>>70 cm.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

Problem: Consider the previous rectangle and suppose its side that previously measured 21 cm now measures 47 cm. What is the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since opposite sides of a rectangle are equal in length, the perimeter of this rectangle is 2 * (14 cm + 47 cm).

    Perimeter = 2 * (14 cm + 47 cm) = 2 * 61 cm = <<2*61=122>>122 cm.

    ### Answer: 122

Expected answer: 122

Correct? Yes

🔗 Problem

Problem: In Clara's backyard, there is a rectangular swimming pool. The length of the pool is 23 meters, while the width is 12 meters. What is the area of the swimming pool in Clara's backyard?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying its length by its width.
    The area of the swimming pool is 23*12 = <<23*12=276>>276 square meters.
    ### Answer: 276

Expected answer: 276

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 39 meters and a width of 8 meters. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 39 meters and the width is 8 meters.
    So, the perimeter is P = 2(39 + 8) = 2(47) = 94 meters.
    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: Suppose the width of the rectangle was actually 23 meters instead of 8 meters. What would the perimeter of the rectangle be in this case?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 39 meters and the width is 23 meters.
    So, the perimeter is P = 2(39 + 23) = 2(62) = 124 meters.
    ### Answer: 124

Expected answer: 124

Correct? Yes

🔗 Problem

Problem: A rectangle has a width of 27m and a length of 40m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 40m and the width is 27m.
    So, the perimeter is P = 2(40 + 27) = 2(67) = <<2*67=134>>134m.
    ### Answer: 134

Expected answer: 134

Correct? Yes

🔗 Follow-up

Problem: What if the length of the rectangle was 44m instead of 40m while keeping the width still at 27m? What would the new perimeter of the rectangle be?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, the length is 44m and the width is 27m.
    So, the perimeter is P = 2(44 + 27) = 2(71) = <<2*71=142>>142m.
    ### Answer: 142

Expected answer: 142

Correct? Yes

🔗 Problem

Problem: A rectangle's length is 35m and its width is 9m. What is the perimeter of the rectangle?

DeepSeek 67B:

    Reasoning:
    The perimeter of a rectangle is given by the formula: 2*(length + width)
    In this case, the length is 35m and the width is 9m.

    Solution:
    Perimeter = 2*(35 + 9) = 2*44 = <<2*(35+9)=88>>88m

    The perimeter of the rectangle is 88m.

Expected answer: 88

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 38m and a width of 11m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 38m and W = 11m.

    So, the perimeter P = 2(38 + 11) = 2(49) = <<2*49=98>>98m.

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

Problem: In the rectangle mentioned earlier, suppose we now construct another rectangle such that its length remains the same (38m), but the width is now 23m instead of 11m. How would the perimeter of this new rectangle be calculated?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 38m and W = 23m.

    So, the perimeter P = 2(38 + 23) = 2(61) = <<2*61=122>>122m.

    ### Answer: 122

Expected answer: 122

Correct? Yes

🔗 Problem

Problem: One side of a rectangle is 28m long, and the other side is 29m long. What is the area of this rectangle?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying the length by the width.
    Area = 28m * 29m = <<28*29=812>>812 square meters.
    ### Answer: 812

Expected answer: 812

Correct? Yes

🔗 Follow-up

Problem: Suppose the side of the rectangle previously mentioned gets extended to 35m instead of 29m, while the other side remains 28m. What would be the new area of the rectangle in this case?

DeepSeek 67B:

    Reasoning: The area of a rectangle is calculated by multiplying the length by the width.
    Area = 35m * 28m = <<35*28=980>>980 square meters.
    ### Answer: 980

Expected answer: 980

Correct? Yes

🔗 Problem

Problem: A square has a side length of 9m. What is the total length of fencing needed to enclose the square's perimeter?

DeepSeek 67B:

    Reasoning: The perimeter of a square is calculated by multiplying the side length by 4.
    The total length of fencing needed is 9m x 4 = <<9*4=36>>36m.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: A rectangle has a length of 38m and a width of 29m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 38m and W = 29m.

    So, the perimeter P = 2(38 + 29) = 2(67) = <<2*67=134>>134m.

    ### Answer: 134

Expected answer: 134

Correct? Yes

🔗 Follow-up

Problem: Now consider that the rectangle from the previous question actually had a length of 6m instead of 38m. What would be the new perimeter of the rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

    In this case, L = 6m and W = 29m.

    So, the perimeter P = 2(6 + 29) = 2(35) = <<2*35=70>>70m.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Problem

Problem: A rectangle has one side of length 45m and another side of length 47m. Find the perimeter of the rectangle.

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(length + width).
    In this case, the length is 45m and the width is 47m.
    So, the perimeter is P = 2(45 + 47) = 2(92) = <<2(92)=184>>184m.
    ### Answer: 184

Expected answer: 184

Correct? Yes

🔗 Follow-up

Problem: Suppose the length of one side of the rectangle is altered from 47m to 46m. What would be the new perimeter of the rectangle now?

DeepSeek 67B:

    Reasoning: The new perimeter of the rectangle is given by the formula P = 2(length + width).
    In this case, the length is 46m and the width is 45m.
    So, the new perimeter is P = 2(46 + 45) = 2(91) = <<2(91)=182>>182m.
    ### Answer: 182

Expected answer: 182

Correct? Yes

🔗 Problem

Problem: Given a rectangle where the length is 24m and the width is 20m, what is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 24m and W = 20m.
    So, the perimeter P = 2(24 + 20) = 2(44) = <<2(44)=88>>88m.
    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenario, imagine the length of the rectangle stayed the same at 24m, but the width was reduced to 17m. Now, what would be the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
    In this case, L = 24m and W = 17m.
    So, the perimeter P = 2(24 + 17) = 2(41) = <<2(41)=82>>82m.
    ### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Problem

Problem: The length and width of a rectangle are both 32m. What is the perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where L is the length and W is the width.
    In this case, the length and width are both 32m, so the perimeter is P = 2(32 + 32) = 2(64) = <<2*64=128>>128m.
    ### Answer: 128

Expected answer: 128

Correct? Yes

🔗 Follow-up

Problem: The length of the rectangle from the previous problem remains the same, but the width of the rectangle is now adjusted to 13m. What is the new perimeter of this rectangle?

DeepSeek 67B:

    Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where L is the length and W is the width.
    In this case, the length is 32m and the width is 13m, so the perimeter is P = 2(32 + 13) = 2(45) = <<2*45=90>>90m.
    ### Answer: 90

Expected answer: 90

Correct? Yes