🔗 Problem

Problem: A sum of several measurements taken along the edge of a plot of land totals to 368 miles. The individual measurements are 41 miles, 28 miles, 90 miles, 32 miles, 10 miles, and 98 miles. What is the remaining measurement that hasn't been included in the total yet?

Gemma 2B:

    Okay, let's break this down step-by-step:
    * The total of all the measurements is 368 miles
    * The individual measurements given are:
      - 41 miles
      - 28 miles
      - 90 miles
      - 32 miles
      - 10 miles
      - 98 miles
    * To find the remaining measurement, we need to add up all the given measurements and then subtract that sum from the total of 368 miles.

    Adding up the given measurements:
    * 41 + 28 + 90 + 32 + 10 + 98 = 299 miles

    Now subtracting this from the total of 368 miles:
    * 368 - 299 = 69 miles

    Therefore, the remaining measurement that hasn't been included in the total yet is 69 miles.

    ### Answer: 69 miles

Expected answer: 69

Correct? Yes

🔗 Problem

Problem: A regular pentagon has side lengths of 70cm, 36cm, 53cm, and 45cm. If the total perimeter of the pentagon is 300cm, what is the length of its fifth side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We are given a regular pentagon with side lengths of 70cm, 36cm, 53cm, and 45cm.
    2) The total perimeter of the pentagon is 300cm.
    3) To find the length of the fifth side, we need to add up the lengths of the four given sides and subtract that from the total perimeter.
    4) 70cm + 36cm + 53cm + 45cm = 204cm
    5) 300cm - 204cm = 96cm
    6) Therefore, the length of the fifth side is 96cm.

    ### Answer: 96cm

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: A regular nonagon (9-sided polygon) has side lengths of 14cm, 94cm, 3cm, 20cm, 57cm, 83cm, 96cm, and 85cm. If the perimeter of the nonagon is 521cm, what is the length of the ninth side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a regular nonagon (9-sided polygon) with the following side lengths:
    14cm, 94cm, 3cm, 20cm, 57cm, 83cm, 96cm, and 85cm.
    2) The perimeter of the nonagon is 521cm.
    3) To find the length of the ninth side, we need to add up the lengths of the first 8 sides and subtract that sum from the total perimeter.
    4) Adding up the first 8 sides:
    14cm + 94cm + 3cm + 20cm + 57cm + 83cm + 96cm + 85cm = 452cm
    5) Subtracting this sum from the total perimeter:
    521cm - 452cm = 69cm
    6) Therefore, the length of the ninth side is 69cm.

    ### Answer: 69cm

Expected answer: 69

Correct? Yes

🔗 Problem

Problem: A polygon has sides measuring 54cm, 51cm, 5cm, 22cm, and 93cm. If the total perimeter of the polygon is 274cm, what is the length of the sixth side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the lengths of 5 sides of a polygon: 54cm, 51cm, 5cm, 22cm, and 93cm.
    2) The total perimeter of the polygon is 274cm.
    3) To find the length of the sixth side, we need to add up the lengths of the 5 given sides and subtract that sum from the total perimeter.
    4) 54cm + 51cm + 5cm + 22cm + 93cm = 225cm
    5) 274cm - 225cm = 49cm
    6) Therefore, the length of the sixth side is 49cm.

    ### Answer: 49cm

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 310 m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular pentagon is the sum of the lengths of its 5 equal sides.
    4) So, if the perimeter is 310 m, and there are 5 equal sides, we can divide the perimeter by 5 to find the length of each side.
    5) 310 m / 5 = 62 m
    ### Answer: 62 m

Expected answer: 62

Correct? Yes

🔗 Problem

Problem: A polygon has side lengths of 78cm, 93cm, 21cm, 4cm, and 21cm. If the total perimeter of the shape is 315cm, then what is the length of the last side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the lengths of 5 sides of a polygon: 78cm, 93cm, 21cm, 4cm, and 21cm.
    2) The total perimeter of the shape is 315cm.
    3) To find the length of the last side, we need to add up the lengths of the 5 given sides and subtract that sum from the total perimeter.
    4) 78cm + 93cm + 21cm + 4cm + 21cm = 217cm
    5) 315cm - 217cm = 98cm
    Therefore, the length of the last side is 98cm.

    ### Answer: 98cm

Expected answer: 98

Correct? Yes

🔗 Problem

Problem: A regular 8-sided polygon, an octagon, has a perimeter of 160m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given that the polygon is a regular 8-sided polygon, which is called an octagon.
    2) The perimeter of the octagon is 160m.
    3) The perimeter of a regular polygon is the sum of the lengths of all its sides.
    4) Since the polygon is regular, all the sides have the same length.
    5) Let's call the length of each side 'x'.
    6) The perimeter of the octagon is 8 times the length of each side, so we can write the equation:
    8x = 160
    7) Solving for x, we get:
    x = 160/8
    8) Therefore, the length of each side of the octagon is 20m.

    ### Answer: 20m

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: Consider an octagon. Its seven sides have lengths 6cm, 4cm, 95cm, 34cm, 19cm, 14cm, and 26cm. What is the length of the other side if the total perimeter of the octagon is 224cm?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given an octagon with 7 sides of lengths: 6cm, 4cm, 95cm, 34cm, 19cm, 14cm, and 26cm.
    2) The total perimeter of the octagon is 224cm.
    3) To find the length of the 8th side, we need to add up the lengths of the 7 given sides and subtract that sum from the total perimeter.
    4) 6cm + 4cm + 95cm + 34cm + 19cm + 14cm + 26cm = 198cm
    5) 224cm - 198cm = 26cm
    6) Therefore, the length of the 8th side is 26cm.

    ### Answer: 26cm

Expected answer: 26

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 174 meters. If all sides are equal, what is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of the hexagon is 174 meters.
    3) To find the length of one side, we divide the perimeter by the number of sides:
       Perimeter = 174 meters
       Number of sides = 6
       Length of one side = Perimeter / Number of sides
       Length of one side = 174 / 6
       Length of one side = 29 meters

    ### Answer: 29 meters

Expected answer: 29

Correct? Yes

🔗 Problem

Problem: A dodecagon has side lengths of 65cm, 22cm, 32cm, 31cm, 78cm, 88cm, 7cm, 29cm, 36cm, and 54cm. The total perimeter of the dodecagon is 538cm. What is the length of the 11th side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the lengths of 10 sides of a dodecagon (12-sided polygon).
    2) The total perimeter of the dodecagon is 538 cm.
    3) To find the length of the 11th side, we need to add up the lengths of the 10 given sides and subtract that sum from the total perimeter.

    Adding up the 10 given side lengths:
    65 cm + 22 cm + 32 cm + 31 cm + 78 cm + 88 cm + 7 cm + 29 cm + 36 cm + 54 cm = 442 cm

    Now subtracting this sum from the total perimeter:
    538 cm - 442 cm = 96 cm

    Therefore, the length of the 11th side is 96 cm.

    ### Answer: 96 cm

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: A hexagon has five side lengths of 61 cm, 84 cm, 80 cm, 11 cm, and 71 cm. What should be the length of the last side so that the sum of lengths of all sides is 357 cm?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We have a hexagon with 5 side lengths given: 61 cm, 84 cm, 80 cm, 11 cm, and 71 cm.
    2) The sum of the lengths of all sides should be 357 cm.
    3) To find the length of the last side, we need to add up the 5 given side lengths and subtract that sum from 357 cm.
    4) 61 cm + 84 cm + 80 cm + 11 cm + 71 cm = 307 cm
    5) 357 cm - 307 cm = 50 cm
    Therefore, the length of the last side should be 50 cm.

    ### Answer: 50 cm

Expected answer: 50

Correct? Yes

🔗 Problem

Problem: A regular octagon has a perimeter of 544m. What is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of the octagon is 544m.
    4) To find the length of one side, we divide the perimeter by the number of sides:
    544m / 8 sides = 68m per side.

    ### Answer: 68m

Expected answer: 68

Correct? Yes

🔗 Problem

Problem: The perimeter of a regular decagon (10-sided polygon) is 960m. Find the length of one side.

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular decagon has 10 sides.
    2) The perimeter of the decagon is 960m.
    3) To find the length of one side, we need to divide the perimeter by the number of sides.
    4) 960m / 10 sides = 96m per side.

    ### Answer: 96m

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has an unknown side length. If its total perimeter is 203m, how long is each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The total perimeter of the heptagon is 203m.
    3) To find the length of each side, we need to divide the total perimeter by the number of sides.
    4) 203m / 7 sides = <<203/7=29>>29m per side.

    ### Answer: 29m

Expected answer: 29

Correct? Yes

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has a perimeter of 49 meters. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 49 meters.
    3) To find the length of each side, we divide the perimeter by the number of sides:
       Perimeter = 49 meters
       Number of sides = 7
       Length of each side = Perimeter / Number of sides
       Length of each side = 49 meters / 7 = <<49/7=7>>7 meters.

    ### Answer: 7 meters.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: The perimeter of a regular heptagon is 329m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon is a polygon with 7 equal sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The formula for the perimeter of a regular polygon is: Perimeter = n * s, where n is the number of sides and s is the length of each side.
    4) In this case, n = 7 (a heptagon has 7 sides) and the perimeter is 329m.
    5) Plugging these values into the formula, we get:
    329 = 7 * s
    6) Solving for s, we get:
    s = 329 / 7
    7) Simplifying, we get:
    s = 47

    ### Answer: 47m

Expected answer: 47

Correct? Yes

🔗 Problem

Problem: The sides of a heptagon have lengths of 86m, 80m, 47m, 93m, and 99m. If the total perimeter of the heptagon is 486m, what is the length of the sixth side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the lengths of 5 sides of a heptagon (a 7-sided polygon): 86m, 80m, 47m, 93m, and 99m.
    2) We are also given that the total perimeter of the heptagon is 486m.
    3) To find the length of the sixth side, we need to add up the lengths of the 5 given sides and subtract that sum from the total perimeter.
    4) 86m + 80m + 47m + 93m + 99m = 405m
    5) 486m - 405m = 81m
    6) Therefore, the length of the sixth side is 81m.

    ### Answer: 81m

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: A regular heptagon has a perimeter of 546m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 546m.
    3) To find the length of each side, we divide the perimeter by the number of sides:
       Perimeter = 546m
       Number of sides = 7
       Length of each side = 546m / 7 = <<546/7=78>>78m

    ### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A nonagon (nine-sided polygon) has 8 of its sides with lengths 26cm, 45cm, 75cm, 68cm, 63cm, 80cm, and 100cm, respectively. If the perimeter of the nonagon is 532cm, what is the length of the ninth side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a nonagon (9-sided polygon) with 8 of its sides having the following lengths:
       - 26cm, 45cm, 75cm, 68cm, 63cm, 80cm, and 100cm
    2) The perimeter of the nonagon is 532cm
    3) To find the length of the ninth side, we need to add up the lengths of the 8 known sides and subtract that sum from the total perimeter.
    4) Adding up the 8 known sides:
       - 26cm + 45cm + 75cm + 68cm + 63cm + 80cm + 100cm = 457cm
    5) Subtracting this sum from the total perimeter:
       - 532cm - 457cm = 75cm
    6) Therefore, the length of the ninth side is 75cm.

    ### Answer: 75cm

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: The sides of a decagon are 62m, 76m, 98m, 74m, another unknown side, 54m, 4m, 24m, and 48m respectively. All sides are equal in length. If the perimeter of the shape is 452m, what is the length of the unknown side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We are given a decagon (a shape with 10 sides).
    2) The lengths of 9 of the sides are provided: 62m, 76m, 98m, 74m, 54m, 4m, 24m, and 48m.
    3) We are told that all the sides are equal in length.
    4) The perimeter of the shape is 452m.
    5) To find the length of the unknown side, we can use the formula for the perimeter of a regular polygon:
    Perimeter = n * s
    Where n is the number of sides and s is the length of each side.
    6) Plugging in the values we have:
    452 = 10 * s
    7) Solving for s:
    s = 452 / 10
    s = 45.2m

    ### Answer: 45.2m

Expected answer: 12

Correct? No

🔗 Problem

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a shape is the total distance around the outside of the shape.
    3) The perimeter of a regular hexagon is equal to 6 times the length of one side.
    4) So, if the perimeter is 78m, we can set up the equation:
    6 x (length of one side) = 78m
    5) Solving for the length of one side:
    6 x (length of one side) = 78m
    length of one side = 78m / 6
    length of one side = 13m

    ### Answer: 13m

Expected answer: 13

Correct? Yes

🔗 Problem

Problem: A regular nonagon has a perimeter of 171m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon has 9 sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The perimeter of the nonagon is 171m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    171m / 9 sides = 19m per side.

    ### Answer: 19m

Expected answer: 19

Correct? Yes

🔗 Problem

Problem: A nonagon has the following side lengths: 8 cm, 17 cm, 30 cm, 17 cm, 86 cm, 55cm, and 68cm. It also has one unknown side length. The overall perimeter of the nonagon is 318 cm. What is the length of the unknown side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We are given a nonagon (9-sided polygon) with the following side lengths:
       - 8 cm, 17 cm, 30 cm, 17 cm, 86 cm, 55 cm, 68 cm
    2) We are also told that there is one unknown side length.
    3) The overall perimeter of the nonagon is 318 cm.
    4) To find the length of the unknown side, we need to add up all the known side lengths and subtract that sum from the total perimeter.
    5) Adding up the known side lengths:
       - 8 cm + 17 cm + 30 cm + 17 cm + 86 cm + 55 cm + 68 cm = 281 cm
    6) Subtracting the known side lengths from the total perimeter:
       - 318 cm - 281 cm = 37 cm
    7) Therefore, the length of the unknown side is 37 cm.

    ### Answer: 37 cm

Expected answer: 37

Correct? Yes

🔗 Problem

Problem: An 11-sided regular polygon has a perimeter of 858m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We have an 11-sided regular polygon.
    2) The perimeter of the polygon is 858m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) The formula for the perimeter of a regular polygon is: Perimeter = n * s, where n is the number of sides and s is the length of each side.
    5) Plugging in the values we have:
    858 = 11 * s
    6) Solving for s:
    s = 858 / 11
    s = 78m

    ### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A regular decagon has a perimeter of 360m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular decagon has 10 sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The perimeter of the regular decagon is 360m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    360m / 10 sides = 36m per side.

    ### Answer: 36m

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 522m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a regular hexagon is the sum of the lengths of all 6 sides.
    3) The given perimeter is 522m.
    4) To find the length of each side, we divide the perimeter by 6:
    522m / 6 = 87m
    ### Answer: 87m

Expected answer: 87

Correct? Yes

🔗 Problem

Problem: A regular polygon has a perimeter of 418m. If each side is the same length, what is the length of each side? Assume the polygon has 11 sides.

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given that the regular polygon has a perimeter of 418m.
    2) The polygon has 11 sides.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 418m / 11 sides = <<418/11=38>>38m per side.

    ### Answer: 38m

Expected answer: 38

Correct? Yes

🔗 Problem

Problem: A polygon has side lengths of 56m, 73m, 39m, 24m, and 26m. If the total perimeter of the polygon is 278m, what is the length of the sixth side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the lengths of 5 sides of a polygon: 56m, 73m, 39m, 24m, and 26m.
    2) The total perimeter of the polygon is 278m.
    3) To find the length of the sixth side, we need to subtract the sum of the 5 given side lengths from the total perimeter.
    4) The sum of the 5 given side lengths is: 56m + 73m + 39m + 24m + 26m = 218m.
    5) The total perimeter is 278m, so the length of the sixth side must be: 278m - 218m = 60m.

    ### Answer: 60m

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 385cm. How long is each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular pentagon is the sum of the lengths of its 5 equal sides.
    4) So, if the perimeter is 385 cm, and there are 5 equal sides, we can divide the perimeter by 5 to find the length of each side.
    5) 385 cm ÷ 5 = 77 cm

    ### Answer: 77 cm

Expected answer: 77

Correct? Yes

🔗 Problem

Problem: The perimeter of a very irregular eleven-sided polygon is 663m. Of those eleven sides, ten are known to be 97m, 93m, 35m, 1m, 27m, 86m, 68m, 96m, 45m, and 61m respectively. What is the length of the unknown eleventh side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) The perimeter of the eleven-sided polygon is 663m.
    2) We are given the lengths of 10 of the 11 sides:
       - 97m, 93m, 35m, 1m, 27m, 86m, 68m, 96m, 45m, 61m
    3) To find the length of the unknown eleventh side, we need to add up the lengths of the 10 known sides and subtract that sum from the total perimeter of 663m.
    4) Adding up the 10 known sides:
       - 97m + 93m + 35m + 1m + 27m + 86m + 68m + 96m + 45m + 61m = 609m
    5) Subtracting the known side lengths from the total perimeter:
       - 663m - 609m = 54m
    6) Therefore, the length of the unknown eleventh side is 54m.

    ### Answer: 54m

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: A decagon has side lengths of 54m, 49m, 85m, 48m, 85m, 19m, 94m, 44m, and 54m respectively. The length of the tenth side is not known. What is the length of this side if the total perimeter of the decagon is 575m?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We are given a decagon (a 10-sided polygon) with the following side lengths:
       - 54m, 49m, 85m, 48m, 85m, 19m, 94m, 44m, 54m
    2) The length of the 10th side is unknown.
    3) The total perimeter of the decagon is 575m.
    4) To find the length of the 10th side, we need to add up the lengths of the 9 known sides and subtract that from the total perimeter.
    5) Adding up the 9 known sides:
       - 54m + 49m + 85m + 48m + 85m + 19m + 94m + 44m + 54m = 532m
    6) Subtracting this from the total perimeter of 575m:
       - 575m - 532m = 43m
    7) Therefore, the length of the 10th side is 43m.

    ### Answer: 43m

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: Given a regular octagon with a perimeter of 248m, what is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular octagon is 8 times the length of one side.
    4) So, if the perimeter is 248m, we can set up the equation:
    8 * x = 248
    5) Solving for x, we get:
    x = 248 / 8
    6) Therefore, the length of each side of the regular octagon is:
    ### Answer: 31m

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 390m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular pentagon is the sum of the lengths of its 5 equal sides.
    4) So, if the perimeter is 390m, and there are 5 equal sides, we can divide the perimeter by 5 to find the length of each side.
    5) 390m / 5 = 78m

    ### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A decagon has nine side lengths given as 6m, 85m, 83m, 73m, 25m, 66m, 54m, 87m, and 21m. If the total perimeter is 522m, find the length of the tenth side.

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a decagon (a polygon with 10 sides) with 9 side lengths provided.
    2) The side lengths given are: 6m, 85m, 83m, 73m, 25m, 66m, 54m, 87m, and 21m.
    3) The total perimeter of the decagon is 522m.
    4) To find the length of the tenth side, we need to add up the 9 given side lengths and subtract that sum from the total perimeter.
    5) Adding up the 9 given side lengths:
    6m + 85m + 83m + 73m + 25m + 66m + 54m + 87m + 21m = 500m
    6) Subtracting the sum of the 9 side lengths from the total perimeter:
    522m - 500m = 22m
    7) Therefore, the length of the tenth side is 22m.

    ### Answer: 22m

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: A regular octagon has a perimeter of 408m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 sides of equal length.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular octagon is 8 times the length of one side.
    4) We are given that the perimeter of this regular octagon is 408m.
    5) So we can set up the equation: 8 * x = 408, where x is the length of one side.
    6) Solving for x, we get: x = 408/8 = 51m.

    ### Answer: 51m

Expected answer: 51

Correct? Yes

🔗 Problem

Problem: An octagon has an equal length of sides. If the perimeter of the octagon is 696m, what is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We know that an octagon has 8 sides, and all the sides are of equal length.
    2) The perimeter of the octagon is 696m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 696m / 8 sides = 87m per side.

    ### Answer: 87m

Expected answer: 87

Correct? Yes

🔗 Problem

Problem: An octagon has a perimeter of 744m. What is the length of each side if all sides are equal?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) An octagon has 8 sides.
    2) The perimeter of the octagon is 744m.
    3) Since all sides are equal, we can divide the perimeter by 8 to find the length of each side.
    4) 744m / 8 = 93m
    ### Answer: 93m

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: A regular nonagon (9-sided polygon) has a perimeter of 270m. What is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon (9-sided polygon) has 9 equal sides.
    2) The perimeter of the nonagon is 270m.
    3) To find the length of one side, we divide the perimeter by the number of sides:
    Perimeter = 270m
    Number of sides = 9
    Length of one side = Perimeter / Number of sides
    Length of one side = 270m / 9
    ### Answer: 30m

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: A nonagon nine-sided polygon has eight known side lengths: 30cm, 18cm, 68cm, 23cm, 72cm, 57cm, 33cm, and 19cm. If the total perimeter of the nonagon is 350cm, what is the length of the unknown ninth side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We have a nonagon (9-sided polygon) with 8 known side lengths: 30cm, 18cm, 68cm, 23cm, 72cm, 57cm, 33cm, and 19cm.
    2) The total perimeter of the nonagon is 350cm.
    3) To find the length of the unknown ninth side, we need to add up the known side lengths and subtract that sum from the total perimeter.
    4) Adding up the known side lengths:
    30cm + 18cm + 68cm + 23cm + 72cm + 57cm + 33cm + 19cm = 320cm
    5) Subtracting the known side lengths from the total perimeter:
    350cm - 320cm = 30cm
    6) Therefore, the length of the unknown ninth side is 30cm.

    ### Answer: 30cm

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: A nonagon has eight side lengths known which are 19m, 7m, 10m, 16m, 32m, 15m and 70m. What is the length of the ninth side if the total perimeter of the nonagon is 188m?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We have a nonagon (9-sided polygon) with 8 known side lengths: 19m, 7m, 10m, 16m, 32m, 15m, and 70m.
    2) The total perimeter of the nonagon is 188m.
    3) To find the length of the 9th side, we need to add up the 8 known side lengths and subtract that from the total perimeter.
    4) Adding up the 8 known side lengths:
    19m + 7m + 10m + 16m + 32m + 15m + 70m = 169m
    5) Subtracting this from the total perimeter of 188m:
    188m - 169m = 19m
    6) Therefore, the length of the 9th side is 19m.

    ### Answer: 19m

Expected answer: 19

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 90m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a shape is the total distance around the outside of the shape.
    3) The perimeter of a regular hexagon is the sum of the lengths of all 6 sides.
    4) So, if the perimeter of the hexagon is 90m, and there are 6 equal sides, we can divide the perimeter by 6 to find the length of each side.
    5) 90m / 6 = 15m
    ### Answer: 15m

Expected answer: 15

Correct? Yes

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 287m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 287m / 7 sides = <<287/7=41>>41m per side.

    ### Answer: 41m

Expected answer: 41

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 50m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular pentagon is the sum of the lengths of its 5 equal sides.
    4) So, if the perimeter is 50m, and there are 5 equal sides, we can divide the perimeter by 5 to find the length of each side.
    5) 50m / 5 = 10m
    ### Answer: 10m

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A regular nonagon has a perimeter of 63m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon has 9 sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The perimeter of the nonagon is 63m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    63m / 9 = 7m
    ### Answer: 7m

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 354m. What is the length of one side of this hexagon?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a regular hexagon is the sum of the lengths of all 6 sides.
    3) The given perimeter is 354m.
    4) To find the length of one side, we divide the perimeter by 6:
    354m / 6 = 59m

    ### Answer: 59m

Expected answer: 59

Correct? Yes

🔗 Problem

Problem: A polygon has side lengths of 59m, 16m, 15m, 35m, 89m, 16m, 43m and 7m. If the total perimeter of the polygon is 286m, what is the length of the last unknown side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the lengths of 7 sides of the polygon: 59m, 16m, 15m, 35m, 89m, 16m, and 43m.
    2) We are also told that the total perimeter of the polygon is 286m.
    3) To find the length of the last unknown side, we need to add up the lengths of the 7 known sides and subtract that sum from the total perimeter.
    4) 59m + 16m + 15m + 35m + 89m + 16m + 43m = 273m
    5) 286m - 273m = 13m
    6) Therefore, the length of the last unknown side is 13m.

    ### Answer: 13m

Expected answer: 6

Correct? No

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has a perimeter of 616m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 616m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 616m / 7 sides = <<616/7=88>>88m per side.

    ### Answer: 88m

Expected answer: 88

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 36m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular hexagon is given as 36m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
       Perimeter = 36m
       Number of sides = 6
       Length of each side = 36m / 6 = 6m

    ### Answer: 6m

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A dodecagon has 11 of its 12 sides already measured. The lengths are 88cm, 24cm, 83cm, 64cm, 16cm, 14cm, 90cm, 36cm, and 47cm respectively. If the total perimeter of the dodecagon is 492cm, what is the length of the twelfth side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) A dodecagon has 12 sides.
    2) We are given the lengths of 11 of the 12 sides: 88cm, 24cm, 83cm, 64cm, 16cm, 14cm, 90cm, 36cm, and 47cm.
    3) The total perimeter of the dodecagon is 492cm.
    4) To find the length of the 12th side, we need to add up the lengths of the 11 known sides and subtract that from the total perimeter.
    5) 88cm + 24cm + 83cm + 64cm + 16cm + 14cm + 90cm + 36cm + 47cm = 462cm
    6) 492cm - 462cm = 30cm
    7) Therefore, the length of the 12th side is 30cm.

    ### Answer: 30cm

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 306m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a shape is the total distance around the outside of the shape.
    3) The perimeter of a regular hexagon is 6 times the length of one side.
    4) So, we can set up the equation: 6 * x = 306, where x is the length of one side.
    5) Solving for x, we get: x = 306/6 = 51 meters.

    ### Answer: 51 meters.

Expected answer: 51

Correct? Yes

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has a perimeter of 238 meters. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 238 meters.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 238 meters / 7 sides = <<238/7=34>>34 meters per side.

    ### Answer: 34 meters

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a total perimeter of 42m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The total perimeter of the hexagon is 42m.
    3) To find the length of each side, we divide the total perimeter by the number of sides:
       Total Perimeter / Number of Sides = Length of Each Side
       42m / 6 = 7m
    ### Answer: 7m

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A regular octagon has a perimeter of 624m. What is the length of each side of the octagon?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We know that a regular octagon has 8 sides of equal length.
    2) The perimeter of a regular octagon is the sum of the lengths of all 8 sides.
    3) The perimeter of this octagon is 624m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    624m / 8 sides = 78m per side.

    ### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A polygon with nine sides has lengths of 17m, 13m, 61m, 16m, 11m, 83m, 28m, 48m, and 93m. What is the length of the tenth side if the total perimeter of the polygon is 468 meters?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We have a polygon with 9 sides, with the following lengths:
       - 17m, 13m, 61m, 16m, 11m, 83m, 28m, 48m, 93m
    2) The total perimeter of the polygon is 468 meters.
    3) To find the length of the 10th side, we need to add up the lengths of the 9 known sides and subtract that from the total perimeter.
    4) Adding up the 9 known sides:
       - 17m + 13m + 61m + 16m + 11m + 83m + 28m + 48m + 93m = 370m
    5) Subtracting this from the total perimeter of 468m:
       - 468m - 370m = 98m
    6) Therefore, the length of the 10th side is 98 meters.

    ### Answer: 98 meters.

Expected answer: 98

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 380m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular pentagon is the sum of the lengths of its 5 equal sides.
    4) So, if the perimeter is 380m, and there are 5 equal sides, we can divide the perimeter by 5 to find the length of each side.
    5) 380m / 5 = 76m

    ### Answer: 76m

Expected answer: 76

Correct? Yes

🔗 Problem

Problem: A regular octagon has a perimeter of 104cm. What is the length of one of its sides?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 sides.
    2) The perimeter of the octagon is 104 cm.
    3) To find the length of one side, we divide the perimeter by the number of sides:
    104 cm / 8 sides = 13 cm per side.

    ### Answer: 13 cm

Expected answer: 13

Correct? Yes

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has a perimeter of 637m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 637m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 637m / 7 sides = <<637/7=91>>91m per side.

    ### Answer: 91m

Expected answer: 91

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 35m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular pentagon is the sum of the lengths of its 5 equal sides.
    4) So, if the perimeter is 35m, and there are 5 equal sides, we can divide the perimeter by 5 to find the length of each side.
    5) 35m / 5 = 7m
    ### Answer: 7m

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: The perimeter of a pentagon is 223cm. The lengths of four of its sides are 45cm, 93cm, 36cm, and 22cm respectively. What is the length of the fifth side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) The perimeter of the pentagon is 223cm.
    2) The lengths of four of its sides are 45cm, 93cm, 36cm, and 22cm.
    3) To find the length of the fifth side, we need to add up the lengths of the four known sides and subtract that from the total perimeter.
    4) 45cm + 93cm + 36cm + 22cm = 196cm
    5) 223cm - 196cm = 27cm
    Therefore, the length of the fifth side is 27cm.

    ### Answer: 27cm

Expected answer: 27

Correct? Yes

🔗 Problem

Problem: A polygon has sides measuring 75cm, 81cm, 22cm, 94cm, 91cm, and 10cm. If the perimeter of the polygon is 423cm, what is the length of the last unknown side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the lengths of 6 sides of a polygon: 75cm, 81cm, 22cm, 94cm, 91cm, and 10cm.
    2) We are also told that the perimeter of the polygon is 423cm.
    3) To find the length of the last unknown side, we need to add up the lengths of the 6 known sides and subtract that sum from the total perimeter.
    4) 75cm + 81cm + 22cm + 94cm + 91cm + 10cm = 373cm
    5) 423cm - 373cm = 50cm
    ### Answer: 50cm

Expected answer: 50

Correct? Yes

🔗 Problem

Problem: A regular decagon (10-sided polygon) has a perimeter of 600m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular decagon has 10 sides.
    2) The perimeter of the decagon is 600m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 600m / 10 sides = 60m per side.

    ### Answer: 60m

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: The perimeter of a regular octagon is 632m. What is the length of each of its sides?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) The perimeter of a regular octagon is the sum of the lengths of all its sides.
    2) Since it is a regular octagon, all the sides have the same length.
    3) The perimeter of a regular octagon is given by the formula: Perimeter = 8 × s, where s is the length of each side.
    4) We are given that the perimeter is 632m, so we can plug this into the formula:
    632 = 8 × s
    5) Solving for s, we get:
    s = 632 / 8
    s = 79m

    ### Answer: 79m

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A regular septagon (7-sided polygon) has a total perimeter of 161m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular septagon has 7 sides.
    2) The total perimeter of the septagon is 161m.
    3) To find the length of each side, we need to divide the total perimeter by the number of sides.
    4) 161m / 7 sides = <<161/7=23>>23m per side.

    ### Answer: 23m

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 96m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular hexagon is given as 96m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
       Perimeter = 96m
       Number of sides = 6
       Length of each side = 96m / 6 = 16m

    ### Answer: 16m

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: A nonagon (9-sided polygon), has sides with length 50m, 31m, 24m, 28m, 13m, 97m, 63m and 88m. Find the length of the ninth side if the total perimeter of the nonagon is 402m.

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a nonagon (9-sided polygon) with the following side lengths:
       - Side 1: 50m
       - Side 2: 31m
       - Side 3: 24m
       - Side 4: 28m
       - Side 5: 13m
       - Side 6: 97m
       - Side 7: 63m
       - Side 8: 88m
    2) The total perimeter of the nonagon is 402m.
    3) To find the length of the ninth side, we need to add up the lengths of the first 8 sides and subtract that from the total perimeter:
       - Sum of first 8 sides: 50m + 31m + 24m + 28m + 13m + 97m + 63m + 88m = 394m
       - Total perimeter: 402m
       - Length of ninth side: 402m - 394m = 8m

    ### Answer: 8m

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has a perimeter of 385m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 385m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 385m / 7 sides = <<385/7=55>>55m per side.

    ### Answer: 55m

Expected answer: 55

Correct? Yes

🔗 Problem

Problem: The total perimeter of a polygon is 358 meters. The lengths of five of its sides are 89 meters, 2 meters, 10 meters, 48 meters, and 94 meters respectively, and another side measures 59 meters. What is the length of the remaining side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) The total perimeter of the polygon is 358 meters.
    2) The lengths of five of its sides are:
       - 89 meters
       - 2 meters
       - 10 meters
       - 48 meters
       - 94 meters
    3) Another side measures 59 meters.
    4) To find the length of the remaining side, we need to add up the lengths of the known sides and subtract that from the total perimeter.
    5) The sum of the known side lengths is:
       89 + 2 + 10 + 48 + 94 + 59 = 302 meters
    6) The total perimeter is 358 meters.
    7) So the length of the remaining side is:
       358 - 302 = 56 meters.

    ### Answer: 56 meters.

Expected answer: 56

Correct? Yes

🔗 Problem

Problem: An octagon has a equal sides and its total perimeter is 496m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) An octagon has 8 equal sides.
    2) The total perimeter of the octagon is 496 meters.
    3) To find the length of each side, we need to divide the total perimeter by the number of sides.
    4) 496 meters / 8 sides = 62 meters per side.

    ### Answer: 62 meters.

Expected answer: 62

Correct? Yes

🔗 Problem

Problem: A regular octagon has a perimeter of 800m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular octagon is given as 800m.
    4) To find the length of each side, we divide the total perimeter by the number of sides:
    800m / 8 sides = 100m per side.

    ### Answer: 100m

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: A regular nonagon has a certain side length. If the perimeter of the nonagon is 702 m, what is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon has 9 sides.
    2) The perimeter of the nonagon is 702 m.
    3) To find the length of one side, we need to divide the perimeter by the number of sides.
    4) 702 m / 9 sides = 78 m per side.

    ### Answer: 78 m

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A regular nonagon has a perimeter of 855cm. What is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon has 9 sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of the nonagon is 855 cm.
    4) To find the length of one side, we divide the perimeter by the number of sides:
    855 cm / 9 sides = 95 cm per side.

    ### Answer: 95 cm

Expected answer: 95

Correct? Yes

🔗 Problem

Problem: If a regular heptagon has a perimeter of 504 meters, find the length of its side.

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of a regular polygon is the sum of the lengths of all its sides.
    3) The perimeter of the heptagon is 504 meters.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    504 meters / 7 sides = 72 meters per side.

    ### Answer: 72 meters.

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: A regular nonagon has a perimeter of 657m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon has 9 sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The perimeter of this regular nonagon is 657m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    657m / 9 sides = <<657/9=73>>73m per side.

    ### Answer: 73m

Expected answer: 73

Correct? Yes

🔗 Problem

Problem: Given a regular octagon where the total perimeter is 48 cm, what is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 equal sides.
    2) The total perimeter of the octagon is 48 cm.
    3) To find the length of each side, we divide the total perimeter by the number of sides:
       Total Perimeter / Number of Sides = Length of Each Side
       48 cm / 8 = 6 cm
    ### Answer: 6 cm

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A polygon has eight sides with lengths: 28m, 37m, 51m, 84m, 54m, 31m, 94m, and 12m. If the total perimeter of the polygon is 399m, what is the length of the remaining unknown side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a polygon with 8 sides, and the lengths of 7 of those sides.
    2) The total perimeter of the polygon is 399m.
    3) To find the length of the remaining unknown side, we need to add up the lengths of the 7 known sides and subtract that sum from the total perimeter.
    4) The lengths of the 7 known sides are: 28m, 37m, 51m, 84m, 54m, 31m, and 94m.
    5) Adding these up, we get: 28m + 37m + 51m + 84m + 54m + 31m + 94m = 379m.
    6) Subtracting this from the total perimeter of 399m, we get: 399m - 379m = 20m.
    7) Therefore, the length of the remaining unknown side is 20m.

    ### Answer: 20m

Expected answer: 8

Correct? No

🔗 Problem

Problem: A regular nonagon has a perimeter of 342m. What is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon has 9 sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The perimeter of the nonagon is 342m.
    4) To find the length of one side, we divide the perimeter by the number of sides:
    342m / 9 = 38m
    ### Answer: 38m

Expected answer: 38

Correct? Yes

🔗 Problem

Problem: In a polygon with 8 sides, 7 of the side lengths are given as follows: 7 m, 59 m, 49 m, 38 m, 53 m, 21 m, and 34 m. Given that the total perimeter of the polygon is 330 m, what is the length of the eighth side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We have a polygon with 8 sides.
    2) 7 of the side lengths are given: 7 m, 59 m, 49 m, 38 m, 53 m, 21 m, and 34 m.
    3) The total perimeter of the polygon is 330 m.
    4) To find the length of the eighth side, we need to add up the 7 given side lengths and subtract that sum from the total perimeter.
    5) 7 m + 59 m + 49 m + 38 m + 53 m + 21 m + 34 m = 261 m
    6) 330 m - 261 m = 69 m
    Therefore, the length of the eighth side is 69 m.

    ### Answer: 69 m

Expected answer: 69

Correct? Yes

🔗 Problem

Problem: A decagon has side lengths of 88m, 96m, 74m, 52m, 45m, 74m, 85m, 85m, and 43m. What is the length of the tenth side if the total perimeter of the decagon is 682m?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We are given a decagon (a 10-sided polygon) with the following side lengths:
       - Side 1: 88m
       - Side 2: 96m
       - Side 3: 74m
       - Side 4: 52m
       - Side 5: 45m
       - Side 6: 74m
       - Side 7: 85m
       - Side 8: 85m
       - Side 9: 43m
    2) The total perimeter of the decagon is 682m.
    3) To find the length of the 10th side, we need to add up the lengths of the first 9 sides and subtract that sum from the total perimeter.
    4) Adding up the first 9 sides:
       - 88m + 96m + 74m + 52m + 45m + 74m + 85m + 85m + 43m = 642m
    5) Subtracting this sum from the total perimeter:
       - 682m - 642m = 40m
    6) Therefore, the length of the 10th side is 40m.

    ### Answer: 40m

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: A regular septagon (7-sided polygon) has a constant perimeter of 161m. If all sides are equal, what is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular septagon (7-sided polygon) has a constant perimeter of 161m.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) Since all the sides are equal, we can represent the length of each side as x.
    4) The perimeter of a regular septagon is 7x.
    5) We know the perimeter is 161m, so we can set up the equation:
    7x = 161
    6) Solving for x, we get:
    x = 161/7
    7) Simplifying, we get:
    x = 23

    ### Answer: 23m

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 324m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular hexagon is given as 324m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    324m / 6 sides = 54m per side.

    ### Answer: 54m

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: A regular pentagon's perimeter is 385 meters. What is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of the regular pentagon is 385 meters.
    4) To find the length of one side, we divide the perimeter by the number of sides:
       Perimeter = 385 meters
       Number of sides = 5
       Length of one side = 385 meters / 5 = <<385/5=77>>77 meters.

    ### Answer: 77 meters.

Expected answer: 77

Correct? Yes

🔗 Problem

Problem: A regular septagon (7-sided polygon) has a perimeter of 245m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular septagon (7-sided polygon) has a perimeter of 245m.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) Since this is a regular polygon, all the sides have the same length.
    4) Let's call the length of each side 'x'.
    5) The perimeter formula for a regular polygon is: Perimeter = n * x, where n is the number of sides.
    6) Plugging in the values, we get: 245 = 7 * x
    7) Solving for x, we get: x = 245 / 7 = 35m.

    ### Answer: 35m

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 25cm. What is the length of one of its sides?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the outside of the shape.
    3) The perimeter of the regular pentagon is 25 cm.
    4) To find the length of one side, we divide the perimeter by the number of sides:
    25 cm / 5 sides = 5 cm per side.

    ### Answer: 5 cm

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A regular hexagon has five of its sides measuring 9m, 49m, 100m, 73m, and 84m respectively. If the total perimeter of the hexagon is 380m, find the length of the sixth side.

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a regular hexagon with 5 sides of lengths 9m, 49m, 100m, 73m, and 84m.
    2) The total perimeter of the hexagon is 380m.
    3) To find the length of the sixth side, we need to add up the lengths of the 5 given sides and subtract that from the total perimeter.
    4) 9m + 49m + 100m + 73m + 84m = 315m
    5) 380m - 315m = 65m
    6) Therefore, the length of the sixth side is 65m.

    ### Answer: 65m

Expected answer: 65

Correct? Yes

🔗 Problem

Problem: An irregular polygon has seven sides with lengths of 23m, 67m, 57m, 94m, 93m, 18m and 30m respectively. If the total perimeter of the polygon is 419m, what is the length of the missing side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given an irregular polygon with 7 sides.
    2) The lengths of the sides are: 23m, 67m, 57m, 94m, 93m, 18m, and 30m.
    3) The total perimeter of the polygon is 419m.
    4) To find the length of the missing side, we need to add up the lengths of the 7 given sides and then subtract that sum from the total perimeter.
    5) 23m + 67m + 57m + 94m + 93m + 18m + 30m = 382m
    6) 419m - 382m = 37m
    7) Therefore, the length of the missing side is 37m.

    ### Answer: 37m

Expected answer: 37

Correct? Yes

🔗 Problem

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 287m.
    3) To find the length of each side, we need to divide the perimeter by the number of sides.
    4) 287m / 7 sides = <<287/7=41>>41m per side.

    ### Answer: 41m

Expected answer: 41

Correct? Yes

🔗 Problem

Problem: A regular pentagon has a perimeter of 55m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular pentagon has 5 equal sides.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular pentagon is the sum of the lengths of its 5 equal sides.
    4) So, if the perimeter is 55m, and there are 5 equal sides, we can divide the perimeter by 5 to find the length of each side.
    5) 55m / 5 = 11m

    ### Answer: 11m

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A regular nonagon, which is a nine-sided polygon, has equal side lengths. If the entire perimeter of the nonagon is 657 meters, how long is each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular nonagon has 9 sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The perimeter of the nonagon is 657 meters.
    4) Since all the sides are equal, we can divide the total perimeter by the number of sides to find the length of each side.
    5) 657 meters / 9 sides = 73 meters per side.

    ### Answer: 73 meters.

Expected answer: 73

Correct? Yes

🔗 Problem

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular hexagon has 6 equal sides.
    2) The perimeter of a shape is the total distance around the outside of the shape.
    3) The perimeter of a regular hexagon is equal to 6 times the length of one side.
    4) So, if the perimeter is 78m, we can set up the equation:
    6 x (length of one side) = 78m
    5) Solving for the length of one side:
    6 x (length of one side) = 78m
    length of one side = 78m / 6
    length of one side = 13m

    ### Answer: 13m

Expected answer: 13

Correct? Yes

🔗 Problem

Problem: A regular octagon has a total perimeter of 600 meters. What is the length of one of its sides?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 sides.
    2) The total perimeter of the octagon is 600 meters.
    3) To find the length of one side, we divide the total perimeter by the number of sides:
    600 meters / 8 sides = 75 meters per side.

    ### Answer: 75 meters.

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: A polygon has side lengths of 39m, 26m, 47m, 52m, 66m, 17m, and 34m. If the overall perimeter of the polygon is 356m, what is the length of the last side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the side lengths of a polygon: 39m, 26m, 47m, 52m, 66m, 17m, and 34m.
    2) The overall perimeter of the polygon is 356m.
    3) To find the length of the last side, we need to add up all the given side lengths and subtract that sum from the total perimeter.
    4) Adding up the given side lengths:
    39m + 26m + 47m + 52m + 66m + 17m + 34m = 281m
    5) Subtracting this sum from the total perimeter:
    356m - 281m = 75m
    6) Therefore, the length of the last side is 75m.

    ### Answer: 75m

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: A regular decagon has a perimeter of 930 cm. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular decagon has 10 sides.
    2) The perimeter of the decagon is 930 cm.
    3) To find the length of each side, we divide the perimeter by the number of sides:
       Perimeter = 930 cm
       Number of sides = 10
       Length of each side = 930 cm / 10 = 93 cm

    ### Answer: 93 cm

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: A decagon has eight of its sides measuring 24m, 25m, 75m, 38m, 18m, 42m and 61m. If the total perimeter of the decagon is 359m, can you find the length of one of the unknown sides?

Gemma 2B:

    Okay, let's break this down step-by-step:
    1) We are given a decagon (a 10-sided polygon) with 8 of its sides measured.
    2) The lengths of the 8 measured sides are: 24m, 25m, 75m, 38m, 18m, 42m, and 61m.
    3) The total perimeter of the decagon is 359m.
    4) To find the length of one of the unknown sides, we need to first calculate the total length of the 8 measured sides.
    5) The total length of the 8 measured sides is: 24m + 25m + 75m + 38m + 18m + 42m + 61m = 283m.
    6) The total perimeter of the decagon is 359m, so the total length of the 2 unknown sides must be 359m - 283m = 76m.
    7) Since the decagon has 10 sides, and 8 of them are known, the 2 unknown sides must be equal in length.
    8) Therefore, the length of each unknown side is 76m / 2 = 38m.

    ### Answer: 38m

Expected answer: 76

Correct? No

🔗 Problem

Problem: A nonagon has side lengths of 52m, 52m, 44m, 53m, 41m, 91m, 25m, and 2m and the total perimeter of the nonagon is 368m. What is the length of the final side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a nonagon (a 9-sided polygon) with the following side lengths:
    52m, 52m, 44m, 53m, 41m, 91m, 25m, and 2m.
    2) The total perimeter of the nonagon is 368m.
    3) To find the length of the final side, we need to add up the lengths of the 8 given sides and subtract that sum from the total perimeter.
    4) 52m + 52m + 44m + 53m + 41m + 91m + 25m + 2m = 360m
    5) 368m - 360m = 8m
    6) Therefore, the length of the final side is 8m.

    ### Answer: 8m

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A regular octagon has a perimeter of 592cm. What is the length of one side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular octagon has 8 sides of equal length.
    2) The perimeter of a shape is the total distance around the shape.
    3) The perimeter of a regular octagon is 8 times the length of one side.
    4) We are given that the perimeter of this regular octagon is 592 cm.
    5) So we can set up the equation: 8 * x = 592, where x is the length of one side.
    6) Solving for x, we get: x = 592 / 8 = 74 cm.

    ### Answer: 74 cm.

Expected answer: 74

Correct? Yes

🔗 Problem

Problem: A regular heptagon has a perimeter of 245m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular heptagon has 7 sides.
    2) The perimeter of the heptagon is 245m.
    3) To find the length of each side, we divide the perimeter by the number of sides:
       Perimeter = 245m
       Number of sides = 7
       Length of each side = Perimeter / Number of sides
       Length of each side = 245m / 7
       Length of each side = 35m

    ### Answer: 35m

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: A regular decagon has a perimeter of 140m. What is the length of each side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) A regular decagon has 10 sides.
    2) The perimeter of a polygon is the sum of the lengths of all its sides.
    3) The perimeter of this regular decagon is 140m.
    4) To find the length of each side, we divide the perimeter by the number of sides:
    140m / 10 sides = 14m per side.

    ### Answer: 14m

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: A polygon has side lengths of 44cm, 5cm, 96cm, 78cm, 49cm, 84cm, 72cm, 74cm, 21cm, and 39cm. If the total perimeter of the polygon is 655cm. What is the length of its 11th side?

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given the side lengths of a polygon: 44cm, 5cm, 96cm, 78cm, 49cm, 84cm, 72cm, 74cm, 21cm, and 39cm.
    2) The total perimeter of the polygon is 655cm.
    3) We need to find the length of the 11th side.
    4) To find the length of the 11th side, we can subtract the sum of the 10 given side lengths from the total perimeter.
    5) The sum of the 10 given side lengths is:
    44cm + 5cm + 96cm + 78cm + 49cm + 84cm + 72cm + 74cm + 21cm + 39cm = 562cm
    6) Now we can subtract this from the total perimeter of 655cm:
    655cm - 562cm = 93cm
    7) Therefore, the length of the 11th side is 93cm.

    ### Answer: 93cm

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: A polygon has sides that measure 69m, 81m, 34m, 35m, and 38m respectively. If the polygon's total perimeter is 265m, what is the length of the remaining side?

Gemma 2B:

    Okay, let's break this down step-by-step:
    * The polygon has 5 sides
    * The lengths of the sides are: 69m, 81m, 34m, 35m, and 38m
    * The total perimeter of the polygon is 265m

    To find the length of the remaining side, we need to add up the lengths of the 5 sides we know, and then subtract that sum from the total perimeter.

    The sum of the 5 known side lengths is:
    69m + 81m + 34m + 35m + 38m = 257m

    Now, we subtract this sum from the total perimeter of 265m:
    265m - 257m = 8m

    Therefore, the length of the remaining side is 8m.

    ### Answer: 8m

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A pentagon has four of its side lengths as 22m, 14m, 93m, and 75m respectively. If its total perimeter is 234m, find the length of the fifth side.

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We are given a pentagon with four side lengths: 22m, 14m, 93m, and 75m.
    2) The total perimeter of the pentagon is 234m.
    3) To find the length of the fifth side, we need to add up the four given side lengths and subtract that from the total perimeter.
    4) 22m + 14m + 93m + 75m = 204m
    5) 234m - 204m = 30m
    6) Therefore, the length of the fifth side is 30m.

    ### Answer: 30m

Expected answer: 30

Correct? Yes