🔗 Problem

Problem: The perimeter of a rectangular swimming pool is 324 meters. The length of the pool is 83 meters. What is the width of the pool?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 324 meters, we can set up the equation:

    2(l + w) = 324

    where l is the length and w is the width.

    We are given that the length is 83 meters, so we can substitute this value into the equation:

    2(83 + w) = 324

    Simplifying the equation, we get:

    166 + 2w = 324

    Subtracting 166 from both sides gives:

    2w = 158

    Dividing both sides by 2 gives:

    w = 79

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 40m. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 40m, so we can set up the equation:

    4x = 40

    To solve for x, we can divide both sides by 4:

    x = 40/4
    x = 10

    So, the length of each side is 10m.

    ### Answer: 10m

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 344m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is 4 times the length of one side. Since the perimeter is given as 344m, we can set up the equation:

    4s = 344

    where s is the length of one side. To solve for s, we can divide both sides by 4:

    s = 344/4
    s = 86

    So, the length of each side of the square is 86m.

    ### Answer: 86

Expected answer: 86

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 348m. What would be the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is 4 times the length of one side. Since the perimeter is given as 348m, we can set up the equation:

    4s = 348

    where s is the length of one side. To find the length of one side, we can divide both sides of the equation by 4:

    s = 348/4
    s = 87

    So, the length of each side of the square is 87m.

    ### Answer: 87

Expected answer: 87

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 194 cm. The length of one of its sides is 49 cm. Can you determine the length of its other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 194 cm, we can set up the equation:

    2(l + w) = 194

    where l is the length of one side (49 cm) and w is the length of the other side.

    Simplifying the equation, we get:

    2(49 + w) = 194

    Expanding and rearranging the equation, we get:

    98 + 2w = 194

    Subtracting 98 from both sides, we get:

    2w = 96

    Dividing both sides by 2, we get:

    w = 48

    So, the length of the other side is 48 cm.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 192m. What is the length of one side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 192m, so we can set up the equation:

    4x = 192

    To solve for x, we can divide both sides by 4:

    x = 192/4
    x = 48

    So, the length of one side is 48m.

    ### Answer: 48m

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 68cm. What is the length of one side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 68cm, so we can set up the equation:

    4x = 68

    To solve for x, we can divide both sides by 4:

    x = 68/4
    x = 17

    So, the length of one side is 17cm.

    ### Answer: 17cm.

Expected answer: 17

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 52 meters. If one of the sides measures 4 meters, how long is the other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 52 meters, we can set up the equation:

    2(l + w) = 52

    where l is the length of the side that is 4 meters, and w is the length of the other side.

    Substituting l = 4, we get:

    2(4 + w) = 52

    Simplifying the equation, we get:

    8 + 2w = 52

    Subtracting 8 from both sides, we get:

    2w = 44

    Dividing both sides by 2, we get:

    w = 22

    So, the other side is 22 meters long.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 229m. Two sides of the quadrilateral have lengths of 93m and 98m respectively. The third side of the quadrilateral is 36m long. What is the length of the fourth side?

Gemma 2B:

    Reasoning: Let's denote the length of the fourth side as x. The perimeter of the quadrilateral is the sum of the lengths of all its sides, which is given as 229m. We can set up an equation using the given information:

    93 + 98 + 36 + x = 229

    Combine like terms:

    227 + x = 229

    Subtract 227 from both sides:

    x = 2

    So, the length of the fourth side is 2m.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: The perimeter of a square is 16m. What is the length of each side of this square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". The perimeter is 16m, so we can set up the equation:

    4x = 16

    To find the length of each side, we can divide both sides by 4:

    x = 16/4
    x = 4

    So, the length of each side of the square is 4m.

    ### Answer: 4m

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 272m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". The perimeter is given as 272m, so we can set up the equation:

    4x = 272

    To find the length of each side, we can divide both sides by 4:

    x = 272/4
    x = 68

    So, the length of each side of the square is 68m.

    ### Answer: 68m

Expected answer: 68

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 244m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is 4 times the length of one side. Since the perimeter is given as 244m, we can set up the equation:

    4s = 244

    where s is the length of one side. To solve for s, we can divide both sides by 4:

    s = 244/4
    s = 61

    So, the length of each side of the square is 61m.

    ### Answer: 61

Expected answer: 61

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 227m. The lengths of three of its sides are 70m, 29m, and 61m. What is the length of the fourth side of the quadrilateral?

Gemma 2B:

    Reasoning: Let's denote the length of the fourth side as x. The perimeter of the quadrilateral is the sum of the lengths of all its sides, which is given as 227m. We can set up an equation using the given information:

    70 + 29 + 61 + x = 227

    Combine like terms:

    160 + x = 227

    Subtract 160 from both sides:

    x = 67

    So, the length of the fourth side is 67m.

    ### Answer: 67m

Expected answer: 67

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 280m. What is the length of the side of that square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of the side "s". Then, the perimeter is 4s.

    We know the perimeter is 280m, so we can set up the equation:

    4s = 280

    To solve for s, we can divide both sides by 4:

    s = 280/4
    s = 70

    So, the length of the side of the square is 70m.

    ### Answer: 70m.

Expected answer: 70

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 219cm. Two of its sides have lengths of 37cm and 98cm, and a third side is known to be 41cm. How long is the fourth side?

Gemma 2B:

    Reasoning: Let's denote the length of the fourth side as x. Since the perimeter is the sum of all sides, we can set up the equation:

    37 + 98 + 41 + x = 219

    Combine like terms:

    176 + x = 219

    Subtract 176 from both sides:

    x = 43

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 44m. Can you calculate the length of one side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 44m, so we can set up the equation:

    4x = 44

    To solve for x, we can divide both sides by 4:

    x = 44/4
    x = 11

    So, the length of one side of the square is 11m.

    ### Answer: 11m

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a perimeter of 282 meters. The longer side measures 71 meters. What is the length of the shorter side?

Gemma 2B:

    Reasoning: Let's call the length of the shorter side "x". Since the perimeter is the sum of all sides, we can set up the equation:

    2(x) + 71 + 71 = 282

    Combine like terms:

    2x + 142 = 282

    Subtract 142 from both sides:

    2x = 140

    Divide both sides by 2:

    x = 70

    So, the length of the shorter side is 70 meters.

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Problem

Problem: A rectangular garden has a total perimeter of 128 meters. If the shorter side of the garden has a length of 57 meters, how long is the other side?

Gemma 2B:

    Let's break this problem down step by step!

    Let the length of the shorter side be x meters, and the length of the longer side be y meters.

    We know that the perimeter of the garden is 128 meters, which is the sum of the lengths of all its sides. Since it's a rectangle, we can write:

    2x + 2y = 128

    Simplifying the equation, we get:

    x + y = 64

    We're also given that the shorter side has a length of 57 meters, so we can substitute x = 57 into the equation:

    57 + y = 64

    Subtracting 57 from both sides gives us:

    y = 7

    So, the length of the longer side is 7 meters.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 392m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is equal to 4 times the length of one side. Since the perimeter is given as 392m, we can set up the equation:

    4s = 392

    where s is the length of one side.

    To solve for s, we can divide both sides of the equation by 4:

    s = 392/4
    s = 98

    So, the length of each side of the square is 98m.

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 204m. If one of its sides has a length of 16m, what is the length of the other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 204m, we can set up the equation:

    2(l + w) = 204

    where l is the length of one side (16m) and w is the length of the other side.

    Substituting l = 16, we get:

    2(16 + w) = 204

    Simplifying the equation, we get:

    32 + 2w = 204

    Subtracting 32 from both sides, we get:

    2w = 172

    Dividing both sides by 2, we get:

    w = 86

    So, the length of the other side is 86m.

    ### Answer: 86m

Expected answer: 86

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 336cm. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 336cm, so we can set up the equation:

    4x = 336

    To solve for x, we can divide both sides by 4:

    x = 336 ÷ 4
    x = 84

    So, the length of one side of the square is 84cm.

    ### Answer: 84cm.

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 144 meters. What is the length of one side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 144 meters, so we can set up the equation:

    4x = 144

    To solve for x, we can divide both sides by 4:

    x = 144/4
    x = 36

    So, the length of one side of the square is 36 meters.

    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 236 cm. Two of its sides measure 69 cm and 50 cm respectively, and a third side measures 39 cm. What is the length of the fourth side?

Gemma 2B:

    Let's use the formula for the perimeter of a quadrilateral:

    Perimeter = Sum of all sides

    We know the perimeter is 236 cm, and we have the lengths of three sides: 69 cm, 50 cm, and 39 cm. Let's add these up:

    69 + 50 + 39 = 158

    Now, we subtract this sum from the perimeter to find the length of the fourth side:

    236 - 158 = 78

    So, the length of the fourth side is 78 cm.

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 193cm. Two of its sides measure 37cm and 14cm, while the other two sides measure 73cm and an unknown length. What is the length of the side of the quadrilateral that is unknown?

Gemma 2B:

    Let's use the formula for the perimeter of a quadrilateral:

    Perimeter = Sum of all sides

    Given that the perimeter is 193cm, we can set up the equation:

    37 + 14 + 73 + x = 193

    where x is the unknown length of the side.

    Combine like terms:

    124 + x = 193

    Subtract 124 from both sides:

    x = 69

    So, the length of the unknown side is 69cm.

    ### Answer: 69cm

Expected answer: 69

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 160m. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 160m, so we can set up the equation:

    4x = 160

    To solve for x, we can divide both sides by 4:

    x = 160/4
    x = 40

    So, the length of one side of the square is 40m.

    ### Answer: 40m

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 228 meters. The length of the rectangle is 90 meters. What is the width of the rectangle?

Gemma 2B:

    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. We are given that the perimeter is 228 meters, and the length is 90 meters. We can set up an equation using these values:

    228 = 2(90 + w)

    To solve for w, we can first divide both sides by 2:

    114 = 90 + w

    Next, we can subtract 90 from both sides:

    24 = w

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Problem

Problem: The perimeter of a square field is 136 meters. Given that all sides are equal in a square, What is the length of one side of the field?

Gemma 2B:

    Reasoning: Since the perimeter of a square is the sum of all its sides, and all sides are equal, we can set up the equation:

    Perimeter = 4 × side length
    136 = 4 × side length

    To find the side length, we can divide both sides of the equation by 4:

    side length = 136 ÷ 4
    side length = 34

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A rectangle has a total perimeter of 236 meters. If one side of the rectangle is 43 meters, can you determine the length of the opposite side?

Gemma 2B:

    Reasoning: Let's call the length of the opposite side "x". Since it's a rectangle, the perimeter is the sum of all four sides. We know the total perimeter is 236 meters, and one side is 43 meters. So, we can set up the equation:

    2(43) + 2x = 236

    Simplifying the equation, we get:

    86 + 2x = 236

    Subtracting 86 from both sides gives us:

    2x = 150

    Dividing both sides by 2 gives us:

    x = 75

    So, the length of the opposite side is 75 meters.

    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 206m. Two of its sides together have a length of 58m, and the other two sides together have a length of 54m and 1m, respectively. What is the length of the missing portion of the perimeter?

Gemma 2B:

    Let's break down the information given:

    * The perimeter of the quadrilateral is 206m.
    * Two sides together have a length of 58m, which means one side is x and the other side is 58 - x.
    * The other two sides together have a length of 54m and 1m, respectively, which means one side is y and the other side is 54 - y.
    * The total length of the two pairs of sides is 58 - x + x + 54 - y + y = 58 + 54 = 112m.

    Now, we can set up an equation to find the missing portion of the perimeter:

    206 - (58 + 54) = 94 = missing portion

    So, the length of the missing portion of the perimeter is 94m.

    ### Answer: 94

Expected answer: 93

Correct? No

🔗 Problem

Problem: A square field has a total perimeter of 284 meters. How long is each side of the square field?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". The perimeter is 284 meters, so we can set up the equation:

    4x = 284

    To find the length of each side, we can divide both sides by 4:

    x = 284/4
    x = 71

    So, each side of the square field is 71 meters long.

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 150 feet. If the length of the rectangle is 69 feet, what is the width of the rectangle?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 150 feet, we can set up the equation:

    2(l + w) = 150

    where l is the length and w is the width.

    Given that the length is 69 feet, we can substitute this value into the equation:

    2(69 + w) = 150

    Simplifying the equation, we get:

    138 + 2w = 150

    Subtracting 138 from both sides gives:

    2w = 12

    Dividing both sides by 2 gives:

    w = 6

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: The perimeter of a rectangle is 166m. If one of the sides measures 35m, how long is the other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 166m, we can set up the equation:

    2(l + w) = 166

    where l is the length and w is the width of the rectangle.

    We know that one of the sides measures 35m, so we can substitute this value into the equation:

    2(l + 35) = 166

    Simplifying the equation, we get:

    2l + 70 = 166

    Subtracting 70 from both sides gives:

    2l = 96

    Dividing both sides by 2 gives:

    l = 48

    So, the length of the rectangle is 48m. Since the perimeter is the sum of all sides, the width is the difference between the perimeter and the length:

    w = 166 - 2(48) = 166 - 96 = 70

    So, the width of the rectangle is 70m.

    ### Answer: 70m

Expected answer: 48

Correct? No

🔗 Problem

Problem: A square has a perimeter of 124m. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 124m, so we can set up the equation:

    4x = 124

    To solve for x, we can divide both sides by 4:

    x = 124/4
    x = 31

    So, the length of each side is 31m.

    ### Answer: 31m

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A rectangular field has a perimeter of 336 feet. The length of one of its sides is 79 feet. What is the length of the opposite side?

Gemma 2B:

    Reasoning: Let's say the length of the opposite side is x. Since the perimeter is the sum of all sides, we can set up the equation:

    2(l + x) = 336

    where l is the length of the side that is already known (79 feet).

    Substituting l = 79, we get:

    2(79 + x) = 336

    Expanding and simplifying the equation, we get:

    158 + 2x = 336

    Subtracting 158 from both sides gives:

    2x = 178

    Dividing both sides by 2 gives:

    x = 89

    So, the length of the opposite side is 89 feet.

    ### Answer: 89

Expected answer: 89

Correct? Yes

🔗 Problem

Problem: A square plot of land has a perimeter of 132 meters. What is the length of one side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 132 meters, so we can set up the equation:

    4x = 132

    To solve for x, we can divide both sides by 4:

    x = 132/4

    x = 33

    So, the length of one side of the square is 33 meters.

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 138 feet. If the length of the rectangle is 46 feet, what is the width of the rectangle?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the length of the rectangle is 46 feet, the perimeter is 2(length + width) = 138. We can set up an equation: 2(46 + width) = 138.
    Simplifying the equation, we get: 92 + 2width = 138.
    Subtracting 92 from both sides, we get: 2width = 46.
    Dividing both sides by 2, we get: width = 23.
    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A rectangular field has a total perimeter of 200 meters. The length of the field is known to be 49 meters. What is the width of the field in meters?

Gemma 2B:

    Let's break this problem down step by step!

    We know that the perimeter of the rectangular field is 200 meters. The formula for the perimeter of a rectangle is:

    Perimeter = 2(Length + Width)

    We are given that the length of the field is 49 meters, so we can plug that value into the formula:

    200 = 2(49 + Width)

    Now, we can simplify the equation by multiplying both sides by 1/2:

    100 = 49 + Width

    Subtract 49 from both sides to get:

    51 = Width

    So, the width of the field is 51 meters.

    ### Answer: 51

Expected answer: 51

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 200m. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 200m, so we can set up the equation:

    4x = 200

    To solve for x, we can divide both sides by 4:

    x = 200/4
    x = 50

    So, the length of each side is 50m.

    ### Answer: 50m

Expected answer: 50

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 199m. The length of one side is 9m, the length of the second side is 30m, and the length of the third side is 71m. What is the length of the fourth side?

Gemma 2B:

    Reasoning: Let's add up the lengths of the three known sides to find the total length of the quadrilateral minus the length of the fourth side.
    9m + 30m + 71m = 110m
    The perimeter is 199m, so we subtract the total length of the three known sides from the perimeter to find the length of the fourth side.
    199m - 110m = 89m
    ### Answer: 89m

Expected answer: 89

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 207m. The lengths of three of its sides are 35m, 62m and 70m respectively. What is the length of the fourth side?

Gemma 2B:

    Reasoning: Let's denote the length of the fourth side as x. Since the perimeter is the sum of all sides, we can set up the equation:

    35 + 62 + 70 + x = 207

    Combine like terms:

    167 + x = 207

    Subtract 167 from both sides:

    x = 40

    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 384cm. If one of the shorter sides of the rectangle is measured to be 99cm, what would be the length of the longer sides of the rectangle?

Gemma 2B:

    Reasoning: Let's call the shorter side "a" and the longer side "b". Since the perimeter is 384cm, we can set up the equation:

    2a + 2b = 384

    We know that one of the shorter sides is 99cm, so we can substitute a = 99 into the equation:

    2(99) + 2b = 384

    Simplifying the equation, we get:

    198 + 2b = 384

    Subtracting 198 from both sides gives:

    2b = 186

    Dividing both sides by 2 gives:

    b = 93

    So, the length of the longer sides of the rectangle is 93cm.
    ### Answer: 93

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: A quadrilateral shape has a perimeter of 255 m. The first and the second sides have lengths of 78m and 15m respectively, while the third side has a length of 63m. What is the length of the fourth side?

Gemma 2B:

    Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. Since the perimeter is 255m, we can set up the equation:

    78 + 15 + 63 + x = 255

    where x is the length of the fourth side.

    Simplifying the equation, we get:

    156 + x = 255

    Subtracting 156 from both sides gives:

    x = 99

    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 128m. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 128m, so we can set up the equation:

    4x = 128

    To solve for x, we can divide both sides by 4:

    x = 128/4
    x = 32

    So, the length of one side of the square is 32m.

    ### Answer: 32m

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: Imagine a rectangle with a perimeter of 96 feet. You know that one pair of opposite sides are each 33 feet long. Can you find the length of the other pair of opposite sides?

Gemma 2B:

    Let's break this problem down step by step!

    Since the perimeter of the rectangle is 96 feet, we can set up an equation using the formula:

    Perimeter = 2(Length) + 2(Width)

    Where Length and Width are the lengths of the two pairs of opposite sides.

    Given that one pair of opposite sides is 33 feet long, we can substitute this value into the equation:

    96 = 2(Length) + 2(33)

    Simplifying the equation, we get:

    96 = 2(Length) + 66

    Subtracting 66 from both sides gives us:

    30 = 2(Length)

    Dividing both sides by 2 gives us:

    15 = Length

    Now that we know the length of one pair of opposite sides is 15 feet, we can find the width by using the same formula:

    Perimeter = 2(Length) + 2(Width)

    Substituting the values, we get:

    96 = 2(15) + 2(Width)

    Simplifying the equation, we get:

    96 = 30 + 2(Width)

    Subtracting 30 from both sides gives us:

    66 = 2(Width)

    Dividing both sides by 2 gives us:

    33 = Width

    So, the length of the other pair of opposite sides is 33 feet.

    ### Answer: 33

Expected answer: 15

Correct? No

🔗 Problem

Problem: The perimeter of a square field is 112 meters. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". The perimeter is 112 meters, so we can set up the equation:

    4x = 112

    To find the length of each side, we can divide both sides by 4:

    x = 112/4
    x = 28

    So, the length of each side is 28 meters.

    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Problem

Problem: The perimeter of a square is 32 cm. Can you find the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 32 cm, so we can set up the equation:

    4x = 32

    To solve for x, we can divide both sides by 4:

    x = 32/4
    x = 8

    So, the length of one side of the square is 8 cm.

    ### Answer: 8 cm.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 364m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is 4 times the length of one side. Since the perimeter is given as 364m, we can set up the equation:

    4s = 364

    where s is the length of one side.

    To solve for s, we can divide both sides by 4:

    s = 364/4
    s = 91

    So, the length of each side of the square is 91m.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Problem

Problem: The total perimeter of a rectangle is found to be 144 feet. The length of one side is known to be 38 feet. What is the length of the other side of the rectangle in feet?

Gemma 2B:

    Let's say the length of the other side is x feet.

    The perimeter of a rectangle is the sum of all its sides, which is 2(length + width). Since the total perimeter is 144 feet, we can set up the equation:

    2(38 + x) = 144

    Simplifying the equation, we get:

    76 + 2x = 144

    Subtracting 76 from both sides gives:

    2x = 68

    Dividing both sides by 2 gives:

    x = 34

    So, the length of the other side of the rectangle is 34 feet.

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 205m. Two of its sides add up to 54m and the other two sides add up to 22m and 37m respectively. What is the length of the remaining side to complete the perimeter?

Gemma 2B:

    Let's break this down step by step!

    We know that the perimeter of the quadrilateral is 205m. We also know that two of its sides add up to 54m, and the other two sides add up to 22m and 37m respectively.

    Let's denote the length of the remaining side as x.

    We can set up an equation based on the perimeter:

    54 + 22 + 37 + x = 205

    Combine like terms:

    113 + x = 205

    Subtract 113 from both sides:

    x = 92

    So, the length of the remaining side is 92m.

    ### Answer: 92

Expected answer: 92

Correct? Yes

🔗 Problem

Problem: The perimeter of a rectangular field is 174m. If the length of the field is 65m, what is the width of the field?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 174m, we can set up the equation:

    2(l + w) = 174

    where l is the length and w is the width.

    We are given that the length is 65m, so we can substitute this value into the equation:

    2(65 + w) = 174

    Simplifying the equation, we get:

    130 + 2w = 174

    Subtracting 130 from both sides gives:

    2w = 44

    Dividing both sides by 2 gives:

    w = 22

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 176 cm. The lengths of three sides are 25 cm, 17 cm and 89 cm respectively. What is the length of the fourth side?

Gemma 2B:

    Reasoning: Let's add up the lengths of the three known sides to find the total length of the sides that are already known: 25 + 17 + 89 = 131 cm.
    Since the perimeter is 176 cm, the length of the fourth side is the difference between the perimeter and the sum of the known sides: 176 - 131 = 45 cm.
    ### Answer: 45 cm.

Expected answer: 45

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 372 meters. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 372 meters, so we can set up the equation:

    4x = 372

    To solve for x, we can divide both sides by 4:

    x = 372 ÷ 4
    x = 93

    So, the length of each side is 93 meters.

    ### Answer: 93

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: A square field has a perimeter of 240 meters. Can you find out the length of one side of the field?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". The perimeter is 240 meters, so we can set up the equation:

    4x = 240

    To find the length of one side, we can divide both sides by 4:

    x = 240/4
    x = 60

    So, the length of one side of the field is 60 meters.

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: The perimeter of a rectangle is 242 meters. Knowing that one of the sides of this rectangle is 97 meters, can you determine the length of the other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 242 meters, we can set up the equation:

    2(l + w) = 242

    where l is the length of the side we know (97 meters) and w is the length of the other side.

    Substituting l = 97, we get:

    2(97 + w) = 242

    Expanding and simplifying the equation, we get:

    194 + 2w = 242

    Subtracting 194 from both sides, we get:

    2w = 48

    Dividing both sides by 2, we get:

    w = 24

    So, the length of the other side is 24 meters.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Problem

Problem: Tom has constructed a square with a total perimeter of 316 meters. Can you determine the length of each side of this square?

Gemma 2B:

    Reasoning: Since the perimeter of a square is the sum of all its sides, and all sides of a square are equal, the perimeter of a square is equal to the length of one side multiplied by 4. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know that the perimeter is 316 meters, so we can set up the equation:

    4x = 316

    To solve for x, we can divide both sides by 4:

    x = 316 / 4

    x = 79

    So, the length of each side of the square is 79 meters.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 268cm. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is equal to 4 times the length of one side. Since the perimeter is given as 268cm, we can set up the equation:

    4s = 268

    where s is the length of one side.

    To solve for s, we can divide both sides of the equation by 4:

    s = 268/4
    s = 67

    So, the length of each side of the square is 67cm.

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 348m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is 4 times the length of one side. Since the perimeter is given as 348m, we can set up the equation:

    4s = 348

    where s is the length of one side. To solve for s, we can divide both sides by 4:

    s = 348/4
    s = 87

    So, the length of each side of the square is 87m.

    ### Answer: 87

Expected answer: 87

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 400m. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 400m, so we can set up the equation:

    4x = 400

    To solve for x, we can divide both sides by 4:

    x = 400/4
    x = 100

    So, the length of one side of the square is 100m.

    ### Answer: 100m

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: A quadrilateral has sides with lengths of 81m, 100m, and 19m. If its perimeter is 243m, what is the length of the fourth side?

Gemma 2B:

    Reasoning: Let's add up the lengths of the known sides to find the total length of the perimeter minus the unknown side. 81m + 100m + 19m = 200m.
    The perimeter is 243m, so we can set up the equation: 200m + unknown side = 243m.
    Subtract 200m from both sides to get: unknown side = 243m - 200m = 43m.
    ### Answer: 43m

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 186cm. If one of its sides is 50cm long, how long is the other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 186cm, we can set up the equation:

    2(l + w) = 186

    where l is the length of the side that is 50cm long, and w is the length of the other side.

    Substituting l = 50, we get:

    2(50 + w) = 186

    Simplifying the equation, we get:

    100 + 2w = 186

    Subtracting 100 from both sides, we get:

    2w = 86

    Dividing both sides by 2, we get:

    w = 43

    So, the other side is 43cm long.

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 224 cm. If the length of one of its sides is 78 cm, what is the length of the adjacent side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 224 cm, we can set up the equation:

    2(l + w) = 224

    where l is the length of one side (78 cm) and w is the length of the adjacent side.

    Simplifying the equation, we get:

    2(78 + w) = 224

    Expanding and rearranging the equation, we get:

    156 + 2w = 224

    Subtracting 156 from both sides, we get:

    2w = 68

    Dividing both sides by 2, we get:

    w = 34

    So, the length of the adjacent side is 34 cm.

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A quadrilateral has two sides measuring 79m and 97m. Another side measures 51m. The total perimeter of the quadrilateral is 235m. What is the length of the fourth side?

Gemma 2B:

    Let's use the information given to set up an equation. Let the length of the fourth side be x.

    The total perimeter is the sum of all four sides, which is given as 235m. We can set up the equation:

    79 + 97 + 51 + x = 235

    Combine like terms:

    227 + x = 235

    Subtract 227 from both sides:

    x = 8

    So, the length of the fourth side is 8m.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 28m. Can you calculate the length of one side of this square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 28m, so we can set up the equation:

    4x = 28

    To solve for x, we can divide both sides by 4:

    x = 28/4

    x = 7

    So, the length of one side of the square is 7m.

    ### Answer: 7m

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 48cm. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 48cm, so we can set up the equation:

    4x = 48

    To solve for x, we can divide both sides by 4:

    x = 48/4
    x = 12

    So, the length of each side is 12cm.

    ### Answer: 12cm

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A square plot of land has a perimeter of 184 meters. Can you find the length of one side of the plot?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 184 meters, so we can set up the equation:

    4x = 184

    To find the length of one side, we can divide both sides by 4:

    x = 184 ÷ 4
    x = 46

    So, the length of one side of the plot is 46 meters.

    ### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 56 meters. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 56 meters, so we can set up the equation:

    4x = 56

    To solve for x, we can divide both sides by 4:

    x = 56/4

    x = 14

    So, the length of each side is 14 meters.

    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 157m. If one of its sides is 97m long, and the other two sides are 5m and 30m, respectively, what is the length of the fourth side to complete the perimeter?

Gemma 2B:

    Reasoning: The perimeter of the quadrilateral is given as 157m. We know the lengths of three sides: 97m, 5m, and 30m. To find the length of the fourth side, we subtract the sum of the known side lengths from the perimeter:

    157m - (97m + 5m + 30m) = ?

    First, we calculate the sum of the known side lengths:

    97m + 5m + 30m = 132m

    Now, we subtract this sum from the perimeter:

    157m - 132m = 25m

    So, the length of the fourth side is 25m.

    ### Answer: 25m

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 173m. The length of the first side is 46m, second side is 50m and third side is 35m. What is the length of the fourth side?

Gemma 2B:

    Reasoning: Since the perimeter is the sum of all sides, we can set up the equation:

    46 + 50 + 35 + x = 173

    where x is the length of the fourth side.

    Simplifying the equation, we get:

    131 + x = 173

    Subtracting 131 from both sides gives:

    x = 42

    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 72 cm. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x. We know the perimeter is 72 cm, so we can set up the equation:

    4x = 72

    To solve for x, we can divide both sides by 4:

    x = 72/4
    x = 18

    So, the length of one side of the square is 18 cm.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 352m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides, which is equal to 4 times the length of one side. Since the perimeter is given as 352m, we can set up the equation:

    4s = 352

    where s is the length of one side.

    To solve for s, we can divide both sides of the equation by 4:

    s = 352/4
    s = 88

    So, the length of each side of the square is 88m.

    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Problem

Problem: A rectangle has 23m for its length and has a total perimeter of 116m. What is the length of its width?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the length is 23m, the perimeter is 2(length + width) = 2(23 + width). We are given that the perimeter is 116m, so we can set up the equation:

    2(23 + width) = 116

    Simplifying the equation, we get:

    46 + 2width = 116

    Subtracting 46 from both sides gives:

    2width = 70

    Dividing both sides by 2 gives:

    width = 35

    ### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 124m. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 124m, so we can set up the equation:

    4x = 124

    To solve for x, we can divide both sides by 4:

    x = 124/4
    x = 31

    So, the length of each side is 31m.

    ### Answer: 31m

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a total perimeter of 131m. Three of its sides have lengths 24m, 57m, and 17m respectively. What is the length of the fourth side?

Gemma 2B:

    Let's use the formula for the perimeter of a quadrilateral:

    Perimeter = Sum of all sides

    We know the total perimeter is 131m, and we have three sides with lengths 24m, 57m, and 17m. Let's add these up:

    24m + 57m + 17m = 98m

    Now, we subtract this sum from the total perimeter to find the length of the fourth side:

    131m - 98m = 33m

    So, the length of the fourth side is 33m.

    ### Answer: 33m

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 254m. One of its sides has a length of 89m. What is the length of the other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 254m, we can set up the equation:

    2(l + w) = 254

    where l is the length of one side (89m) and w is the length of the other side.

    Substituting l = 89, we get:

    2(89 + w) = 254

    Expanding and simplifying the equation, we get:

    178 + 2w = 254

    Subtracting 178 from both sides, we get:

    2w = 76

    Dividing both sides by 2, we get:

    w = 38

    So, the length of the other side is 38m.

    ### Answer: 38

Expected answer: 38

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 208m. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 208m, so we can set up the equation:

    4x = 208

    To solve for x, we can divide both sides by 4:

    x = 208/4
    x = 52

    So, the length of each side is 52m.

    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 64m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". The perimeter is 64m, so we can set up the equation:

    4x = 64

    To find the length of each side, we can divide both sides by 4:

    x = 64/4
    x = 16

    So, the length of each side of the square is 16m.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a total perimeter of 196 meters. The lengths of three of its sides combined is 183 meters (with one side being 92 meters and the other two sides being 29 and 62 meters respectively). Can you figure out the length of the fourth side?

Gemma 2B:

    Let's break it down step by step!

    We know the total perimeter is 196 meters, and we're given the lengths of three sides: 92, 29, and 62 meters. We can add these three lengths together to get:

    92 + 29 + 62 = 183 meters

    This is the total length of three sides, which we're told is 183 meters. Now, we need to find the length of the fourth side.

    Since the total perimeter is 196 meters, and we've already accounted for 183 meters, we can subtract 183 from 196 to find the length of the fourth side:

    196 - 183 = 13 meters

    So, the length of the fourth side is 13 meters.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Problem

Problem: The perimeter of a quadrilateral is 191 units. If one side is 35 units in length, another side is 76 units, and the third side is 5 units, what is the length of the fourth side in units?

Gemma 2B:

    Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. Let's denote the length of the fourth side as x. We can set up the equation:

    35 + 76 + 5 + x = 191

    Combine like terms:

    116 + x = 191

    Subtract 116 from both sides:

    x = 191 - 116

    x = 75

    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 104m. What is the length of each side?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 104m, so we can set up the equation:

    4x = 104

    To solve for x, we can divide both sides by 4:

    x = 104 ÷ 4
    x = 26

    So, the length of each side is 26m.

    ### Answer: 26m

Expected answer: 26

Correct? Yes

🔗 Problem

Problem: The perimeter of a rectangle is 198 cm. If the length of this rectangle is 90 cm, what is the width?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the length is 90 cm, the perimeter is 2(length + width) = 198 cm. We can set up an equation: 2(90 + width) = 198.
    Simplifying the equation, we get: 180 + 2width = 198.
    Subtracting 180 from both sides, we get: 2width = 18.
    Dividing both sides by 2, we get: width = 9.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Jack is designing a rectangular garden with a total perimeter of 128 feet. He has already planned for one pair of opposite sides to be 47 feet each. What should be the length of the remaining two opposite sides?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the total perimeter is 128 feet, we can set up the equation:

    2(47) + x + x = 128

    where x is the length of the remaining two opposite sides.

    Simplifying the equation, we get:

    94 + 2x = 128

    Subtracting 94 from both sides gives:

    2x = 34

    Dividing both sides by 2 gives:

    x = 17

    So, the length of the remaining two opposite sides is 17 feet each.

    ### Answer: 17

Expected answer: 17

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 356m. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 356m, so we can set up the equation:

    4x = 356

    To find the length of one side, we can divide both sides by 4:

    x = 356 ÷ 4
    x = 89

    So, the length of one side is 89m.

    ### Answer: 89m.

Expected answer: 89

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 236 units. Two sides of the quadrilateral measure 89 units and 87 units respectively, while the third side is 1 unit long. What is the length of the fourth side?

Gemma 2B:

    Reasoning: Let's denote the length of the fourth side as x.
    The perimeter of the quadrilateral is the sum of all its sides, which is 236 units.
    So, we can set up the equation: 89 + 87 + 1 + x = 236
    Combine like terms: 177 + x = 236
    Subtract 177 from both sides: x = 59
    ### Answer: 59

Expected answer: 59

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 340 meters. What is the length of each side of this square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of the lengths of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 340 meters, so we can set up the equation:

    4x = 340

    To solve for x, we can divide both sides by 4:

    x = 340/4
    x = 85

    So, the length of each side of the square is 85 meters.

    ### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". The perimeter is 16m, so we can set up the equation:

    4x = 16

    To solve for x, we can divide both sides by 4:

    x = 16/4
    x = 4

    So, the length of each side is 4m.

    ### Answer: 4m

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A quadrilateral has four sides. The length of the first side is 1m, the second side is 54m, and the third side is 9m. The total perimeter of this quadrilateral is 81m. What would be the length of the fourth side in meters?

Gemma 2B:

    Reasoning: The total perimeter of the quadrilateral is the sum of the lengths of all four sides. We know the total perimeter is 81m, and we know the lengths of three of the sides: 1m, 54m, and 9m. We can set up an equation to represent the total perimeter:

    1m + 54m + 9m + x = 81m

    where x is the length of the fourth side.

    We can simplify the equation by combining like terms:

    64m + x = 81m

    Subtract 64m from both sides to get:

    x = 17m

    ### Answer: 17m

Expected answer: 17

Correct? Yes

🔗 Problem

Problem: A quadrilateral, which is a perfect square, has a total perimeter of 316m. What is the length of each side of this square?

Gemma 2B:

    Reasoning: Since the quadrilateral is a perfect square, all sides are equal. Let's call the length of each side "x". The perimeter of the square is the sum of all its sides, which is 4x. We know the perimeter is 316m, so we can set up the equation:

    4x = 316

    To solve for x, we can divide both sides by 4:

    x = 316/4
    x = 79

    So, the length of each side of the square is 79m.

    ### Answer: 79m

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 300m. How long is each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 300m, so we can set up the equation:

    4x = 300

    To solve for x, we can divide both sides by 4:

    x = 300/4
    x = 75

    So, each side of the square is 75m long.

    ### Answer: 75m

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 198m. Two of the sides have lengths of 19m and 57m respectively, another side is 22m, what is the length of the remaining side?

Gemma 2B:

    Let's use the formula for the perimeter of a quadrilateral:

    Perimeter = Sum of all sides

    We know the perimeter is 198m, and we have three sides with lengths 19m, 57m, and 22m. Let's add these up:

    19m + 57m + 22m = 98m

    Now, we need to find the length of the remaining side. We can set up an equation:

    98m + x = 198m

    Where x is the length of the remaining side. Subtract 98m from both sides:

    x = 198m - 98m
    x = 100m

    So, the length of the remaining side is 100m.

    ### Answer: 100m

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 172m. What is the length of each side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of each side "x". Then, the perimeter is 4x.

    We know the perimeter is 172m, so we can set up the equation:

    4x = 172

    To solve for x, we can divide both sides by 4:

    x = 172/4
    x = 43

    So, the length of each side of the square is 43m.

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 304 cm. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 304 cm, so we can set up the equation:

    4x = 304

    To solve for x, we can divide both sides by 4:

    x = 304 ÷ 4
    x = 76

    So, the length of one side of the square is 76 cm.

    ### Answer: 76 cm.

Expected answer: 76

Correct? Yes

🔗 Problem

Problem: A rectangle has a total perimeter of 158 meters. Each of the shorter sides is 51 meters long. What is the length of each of the longer sides?

Gemma 2B:

    Let's break this problem down step by step!

    Let the length of the shorter sides be x (which is given as 51 meters). Since the perimeter is 158 meters, we can set up the equation:

    2x + 2y = 158

    where y is the length of the longer sides.

    We know that x = 51, so we can substitute this value into the equation:

    2(51) + 2y = 158

    Simplifying the equation, we get:

    102 + 2y = 158

    Subtracting 102 from both sides gives us:

    2y = 56

    Dividing both sides by 2 gives us:

    y = 28

    So, the length of each of the longer sides is 28 meters.

    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 72m. What is the length of one its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 72m, so we can set up the equation:

    4x = 72

    To solve for x, we can divide both sides by 4:

    x = 72/4

    x = 18

    So, the length of one side of the square is 18m.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: A rectangular playground is bordered by a fence. Two opposite sides of the fence are 19m each. If the total length of the fence is 166m, what is the length of each of the other two sides?

Gemma 2B:

    Let's break this problem down step by step!

    Let the length of the other two sides be x meters each.

    The total length of the fence is 166 meters, which is the sum of the lengths of all four sides. We know that two opposite sides are 19 meters each, so we can set up the equation:

    2(19) + 2x = 166

    Simplifying the equation, we get:

    38 + 2x = 166

    Subtracting 38 from both sides gives us:

    2x = 128

    Dividing both sides by 2 gives us:

    x = 64

    So, the length of each of the other two sides is 64 meters.

    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 246m. You know that two of its sides are 40m and 32m long, another side is 95m long. What is the length of the fourth side?

Gemma 2B:

    Let's use the formula for the perimeter of a quadrilateral:

    Perimeter = Sum of all sides

    We know the perimeter is 246m, and we have three sides: 40m, 32m, and 95m. Let's add these up:

    40m + 32m + 95m = 167m

    Now, we subtract this sum from the perimeter to find the length of the fourth side:

    246m - 167m = 79m

    So, the length of the fourth side is 79m.

    ### Answer: 79m

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 32m. What is the length of one of its sides?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 4x.

    We know the perimeter is 32m, so we can set up the equation:

    4x = 32

    To solve for x, we can divide both sides by 4:

    x = 32/4
    x = 8

    So, the length of one side of the square is 8m.

    ### Answer: 8m

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 12 meters. Can you find the length of one side of the square?

Gemma 2B:

    Reasoning: The perimeter of a square is the sum of all its sides. Since it's a square, all sides are equal. Let's call the length of one side "x". The perimeter is 12 meters, so we can set up the equation:

    4x = 12

    To find the length of one side, we can divide both sides by 4:

    x = 12/4

    x = 3

    So, the length of one side of the square is 3 meters.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 160m. If the three known sides have lengths of 29m, 16m, and 41m, what is the length of the fourth side?

Gemma 2B:

    Reasoning: Let's add up the lengths of the three known sides to find the total length of the sides that we know: 29m + 16m + 41m = 86m.
    Since the perimeter is 160m, the total length of all four sides is 160m. To find the length of the fourth side, we subtract the length of the three known sides from the perimeter: 160m - 86m = 74m.
    ### Answer: 74m

Expected answer: 74

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 98m. If one of its sides is 5m long, what is the length of the other side?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the perimeter is 98m, we can set up the equation:

    2(l + 5) = 98

    where l is the length of the other side.

    Simplifying the equation, we get:

    2l + 10 = 98

    Subtracting 10 from both sides gives:

    2l = 88

    Dividing both sides by 2 gives:

    l = 44

    So, the length of the other side is 44m.

    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: A rectangle has two sides measuring 45m each. If the total perimeter of the rectangle is 210m, what is the length of each of the other two sides?

Gemma 2B:

    Reasoning: The perimeter of a rectangle is the sum of all its sides. Since the rectangle has two sides measuring 45m each, the total perimeter is 2(45) + 2x, where x is the length of the other two sides.
    We know the total perimeter is 210m, so we can set up the equation: 2(45) + 2x = 210.
    Simplifying the equation, we get: 90 + 2x = 210.
    Subtracting 90 from both sides, we get: 2x = 120.
    Dividing both sides by 2, we get: x = 60.
    So, the length of each of the other two sides is 60m.
    ### Answer: 60

Expected answer: 60

Correct? Yes