🔗 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?

Llama 3 70B:

    Let's add up the given measurements:

    41 + 28 + 90 + 32 + 10 + 98 = 299

    The total of all measurements is 368 miles, so to find the remaining measurement, we subtract the sum of the given measurements from the total:

    368 - 299 = 69

    ### Answer: 69

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?

Llama 3 70B:

    Let's first add up the lengths of the four given sides:

    70cm + 36cm + 53cm + 45cm = 204cm

    Since the total perimeter of the pentagon is 300cm, we can set up the equation:

    204cm + x = 300cm

    where x is the length of the fifth side.

    Subtracting 204cm from both sides of the equation, we get:

    x = 300cm - 204cm
    x = 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?

Llama 3 70B:

    Let's first add up the lengths of the given sides:

    14cm + 94cm + 3cm + 20cm + 57cm + 83cm + 96cm + 85cm = 452cm

    Since the perimeter of the nonagon is 521cm, we can set up the equation:

    452cm + x = 521cm

    where x is the length of the ninth side.

    Subtracting 452cm from both sides gives us:

    x = 521cm - 452cm
    x = 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?

Llama 3 70B:

    Let's first add up the lengths of the given sides:

    54cm + 51cm + 5cm + 22cm + 93cm = 225cm

    Since the total perimeter of the polygon is 274cm, we can set up the equation:

    225cm + x = 274cm

    where x is the length of the sixth side.

    Subtracting 225cm from both sides of the equation, we get:

    x = 274cm - 225cm
    x = 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?

Llama 3 70B:

    Reasoning: Since it's a regular pentagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 5s. We know the perimeter is 310 m, so we can set up the equation:

    5s = 310

    To find the length of each side, we can divide both sides of the equation by 5:

    s = 310 ÷ 5
    s = 62

    ### 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?

Llama 3 70B:

    Let's add up the lengths of the given sides:

    78cm + 93cm + 21cm + 4cm + 21cm = 217cm

    Since the total perimeter is 315cm, we can set up the equation:

    217cm + x = 315cm

    where x is the length of the last side.

    Subtracting 217cm from both sides gives us:

    x = 315cm - 217cm
    x = 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?

Llama 3 70B:

    Reasoning: Since the octagon has 8 sides, we can set up the equation:

    8 × side length = 160

    To find the side length, we can divide both sides of the equation by 8:

    side length = 160 ÷ 8
    side length = 20

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the seven given sides:

    6cm + 4cm + 95cm + 34cm + 19cm + 14cm + 26cm = 198cm

    Since the total perimeter of the octagon is 224cm, we can set up the equation:

    198cm + x = 224cm

    where x is the length of the unknown side.

    Subtracting 198cm from both sides of the equation, we get:

    x = 224cm - 198cm
    x = 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?

Llama 3 70B:

    Reasoning: Since all sides of a regular hexagon are equal, we can divide the perimeter by 6 to find the length of one side.
    Let's divide the perimeter by 6: 174 ÷ 6 = 29
    ### Answer: 29

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?

Llama 3 70B:

    Let's start by listing the given side lengths: 65cm, 22cm, 32cm, 31cm, 78cm, 88cm, 7cm, 29cm, 36cm, and 54cm.

    We know that the total perimeter of the dodecagon is 538cm. Since a dodecagon has 12 sides, we can set up an equation to represent the total perimeter:

    Perimeter = 65 + 22 + 32 + 31 + 78 + 88 + 7 + 29 + 36 + 54 + x

    where x is the length of the 11th side.

    We can simplify the equation by adding up the given side lengths:

    Perimeter = 442 + x

    Since the total perimeter is 538cm, we can set up the equation:

    442 + x = 538

    Subtracting 442 from both sides gives us:

    x = 96

    ### Answer: 96cm

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?

Llama 3 70B:

    Let's first add up the lengths of the five given sides:

    61 + 84 + 80 + 11 + 71 = 307

    We know that the sum of all six sides should be 357 cm. To find the length of the last side, we can set up the equation:

    307 + x = 357

    where x is the length of the last side. To solve for x, we can subtract 307 from both sides of the equation:

    x = 357 - 307
    x = 50

    ### 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?

Llama 3 70B:

    Reasoning: A regular octagon has 8 sides of equal length. Let's call the length of one side "x". The perimeter of the octagon is the sum of the lengths of all its sides, which is 8x. We are given that the perimeter is 544m, so we can set up the equation:

    8x = 544

    To find the length of one side, we can divide both sides of the equation by 8:

    x = 544 ÷ 8
    x = 68

    ### 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.

Llama 3 70B:

    Reasoning: The perimeter of a regular decagon is the sum of the lengths of all its sides. Since it's a regular decagon, all sides are equal. Let's call the length of one side "x". Then, the perimeter is 10x.

    We are given that the perimeter is 960m, so we can set up the equation:

    10x = 960

    To find the length of one side, we can divide both sides of the equation by 10:

    x = 960/10
    x = 96

    ### 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?

Llama 3 70B:

    Reasoning: Since the heptagon has 7 sides, and the total perimeter is 203m, we can set up the equation:

    7 × side length = 203

    To find the side length, we can divide both sides of the equation by 7:

    side length = 203 ÷ 7
    side length = 29

    ### 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?

Llama 3 70B:

    Reasoning: Since the heptagon is regular, all its sides are equal. Let's call the length of each side "s". The perimeter of the heptagon is the sum of the lengths of all its sides, which is 49 meters. Since there are 7 sides, we can set up the equation:

    7s = 49

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 49/7
    s = 7

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A heptagon has 7 sides. The perimeter is the sum of the lengths of all sides. Since it's a regular heptagon, all sides are equal. Let's call the length of each side "s". Then, the perimeter is 7s.

    We are given that the perimeter is 329m, so we can set up the equation:

    7s = 329

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 329 ÷ 7
    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?

Llama 3 70B:

    Let's start by using the information that the total perimeter of the heptagon is 486m. We can set up an equation to represent the situation:

    86 + 80 + 47 + 93 + 99 + x + x = 486

    where x is the length of the sixth side.

    Combine the known side lengths:

    405 + x + x = 486

    Combine like terms:

    405 + 2x = 486

    Subtract 405 from both sides:

    2x = 81

    Divide both sides by 2:

    x = 40.5

    So, the length of the sixth side is 40.5m.

    ### Answer: 40.5m

Expected answer: 81

Correct? No

🔗 Problem

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

Llama 3 70B:

    Reasoning: A heptagon has 7 sides. Let's call the length of each side "s". The perimeter of the heptagon is the sum of the lengths of all its sides, which is 7s. We are given that the perimeter is 546m, so we can set up the equation:

    7s = 546

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 546 ÷ 7
    s = 78

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the 8 known sides:

    26 + 45 + 75 + 68 + 63 + 80 + 100 = 457

    The perimeter of the nonagon is 532cm, so the length of the ninth side is:

    532 - 457 = 75

    ### 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?

Llama 3 70B:

    Let's first find the total length of the known sides:

    62m + 76m + 98m + 74m + 54m + 4m + 24m + 48m = 440m

    Since the perimeter of the decagon is 452m, the unknown side can be found by subtracting the total length of the known sides from the perimeter:

    452m - 440m = 12m

    So, the length of the unknown side is 12m.

    ### Answer: 12m

Expected answer: 12

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, which is 6s. We are given that the perimeter is 78m, so we can set up the equation:

    6s = 78

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 78/6
    s = 13

    ### Answer: 13m

Expected answer: 13

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A nonagon is a polygon with 9 sides. Since it's a regular nonagon, all sides are equal. Let's call the length of each side "s". The perimeter of the nonagon is the sum of the lengths of all its sides, which is 9s. We are given that the perimeter is 171m, so we can set up the equation:

    9s = 171

    To find the length of each side, we can divide both sides of the equation by 9:

    s = 171 ÷ 9
    s = 19

    ### 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?

Llama 3 70B:

    Let's start by adding up the known side lengths:

    8 + 17 + 30 + 17 + 86 + 55 + 68 = 281

    The overall perimeter of the nonagon is 318 cm, so we can set up the equation:

    281 + x = 318

    where x is the unknown side length.

    Subtracting 281 from both sides of the equation, we get:

    x = 318 - 281
    x = 37

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: Since it's a regular polygon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 11s. We know the perimeter is 858m, so we can set up the equation:

    11s = 858

    To find the length of each side, we can divide both sides of the equation by 11:

    s = 858 ÷ 11
    s = 78

    ### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A decagon is a polygon with 10 sides. Since it's a regular decagon, all sides are equal. Let's call the length of each side "s". The perimeter of the decagon is the sum of the lengths of all its sides, which is 360m. Since there are 10 sides, we can set up the equation:

    10s = 360

    To find the length of each side, we can divide both sides of the equation by 10:

    s = 360/10
    s = 36

    ### Answer: 36m

Expected answer: 36

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, so we can set up the equation:

    6s = 522

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 522 ÷ 6
    s = 87

    ### 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.

Llama 3 70B:

    Reasoning: Since the polygon has 11 sides, and each side is the same length, we can set up the equation:

    Perimeter = number of sides × length of each side
    418 = 11 × length of each side

    To find the length of each side, we can divide both sides of the equation by 11:

    length of each side = 418 ÷ 11
    length of each side = 38

    ### 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?

Llama 3 70B:

    Reasoning: The total perimeter of the polygon is the sum of all its side lengths. We are given the lengths of five sides: 56m, 73m, 39m, 24m, and 26m. Let's add these up:

    56m + 73m + 39m + 24m + 26m = 218m

    We know the total perimeter is 278m, so the length of the sixth side is:

    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?

Llama 3 70B:

    Reasoning: Since it's a regular pentagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 385cm. Since there are 5 sides, we can set up the equation: 5s = 385.

    To find the length of each side, we can divide both sides of the equation by 5: s = 385 ÷ 5 = 77.

    ### Answer: 77cm

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?

Llama 3 70B:

    Let's first add up the lengths of the 10 known sides:

    97 + 93 + 35 + 1 + 27 + 86 + 68 + 96 + 45 + 61 = 609

    The perimeter of the polygon is 663m, so the length of the unknown eleventh side is:

    663 - 609 = 54

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the known sides:

    54m + 49m + 85m + 48m + 85m + 19m + 94m + 44m + 54m = 522m

    Since the total perimeter of the decagon is 575m, we can set up the equation:

    522m + x = 575m

    where x is the length of the unknown side.

    Subtracting 522m from both sides gives us:

    x = 575m - 522m
    x = 53m

    ### Answer: 53m

Expected answer: 43

Correct? No

🔗 Problem

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

Llama 3 70B:

    Reasoning: Since it's a regular octagon, all sides are equal. Let's call the length of each side "s". The perimeter of the octagon is the sum of all its sides, which is 248m. Since there are 8 sides, we can set up the equation:

    8s = 248

    To find the length of each side, we can divide both sides of the equation by 8:

    s = 248 ÷ 8
    s = 31

    ### Answer: 31m

Expected answer: 31

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: Since it's a regular pentagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 5s. We know the perimeter is 390m, so we can set up the equation:

    5s = 390

    To find the length of each side, we can divide both sides of the equation by 5:

    s = 390 ÷ 5
    s = 78

    ### 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.

Llama 3 70B:

    Let's first add up the given side lengths:

    6m + 85m + 83m + 73m + 25m + 66m + 54m + 87m + 21m = 500m

    Since the total perimeter is 522m, we can set up the equation:

    500m + x = 522m

    where x is the length of the tenth side.

    Subtracting 500m from both sides gives us:

    x = 522m - 500m
    x = 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?

Llama 3 70B:

    Reasoning: A regular octagon has 8 sides of equal length. Let's call the length of each side "s". The perimeter of the octagon is the sum of the lengths of all its sides, which is 8s. We are given that the perimeter is 408m, so we can set up the equation:

    8s = 408

    To find the length of each side, we can divide both sides of the equation by 8:

    s = 408 ÷ 8
    s = 51

    ### 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?

Llama 3 70B:

    Reasoning: Since an octagon has 8 sides, and all sides are equal, we can set up the equation:

    8 × side length = 696

    To find the side length, we can divide both sides of the equation by 8:

    side length = 696 ÷ 8
    side length = 87

    ### 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?

Llama 3 70B:

    Reasoning: An octagon has 8 sides. Since all sides are equal, we can divide the perimeter by 8 to find the length of each side.
    Perimeter = 744m
    Number of sides = 8
    Length of each side = Perimeter ÷ Number of sides
    = 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?

Llama 3 70B:

    Reasoning: Since it's a regular nonagon, all sides are equal. Let's call the length of one side "x". The perimeter is the sum of all sides, which is 270m. Since there are 9 sides, we can set up the equation: 9x = 270.

    To find the length of one side, we can divide both sides of the equation by 9: x = 270 ÷ 9 = 30.

    ### 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?

Llama 3 70B:

    Let's add up the known side lengths:

    30 + 18 + 68 + 23 + 72 + 57 + 33 + 19 = 320

    The total perimeter of the nonagon is 350cm, so the unknown ninth side is:

    350 - 320 = 30

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the 8 known sides:

    19m + 7m + 10m + 16m + 32m + 15m + 70m = 169m

    Since the total perimeter of the nonagon is 188m, we can set up the equation:

    169m + x = 188m

    where x is the length of the unknown 9th side.

    Subtracting 169m from both sides gives us:

    x = 188m - 169m
    x = 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?

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, which is 6s. We are given that the perimeter is 90m, so we can set up the equation:

    6s = 90

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 90/6
    s = 15

    ### 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?

Llama 3 70B:

    Reasoning: Since it's a regular heptagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 287m. Since there are 7 sides, we can set up the equation: 7s = 287.

    To find the length of each side, we can divide both sides of the equation by 7: s = 287 ÷ 7 = 41.

    ### Answer: 41m

Expected answer: 41

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular pentagon has 5 equal sides. Let's call the length of each side "s". The perimeter of the pentagon is the sum of the lengths of all its sides, which is 5s. We are given that the perimeter is 50m, so we can set up the equation:

    5s = 50

    To find the length of each side, we can divide both sides of the equation by 5:

    s = 50/5
    s = 10

    ### Answer: 10m

Expected answer: 10

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A nonagon is a polygon with 9 sides. Since it's a regular nonagon, all sides are equal. Let's call the length of each side "s". The perimeter of the nonagon is the sum of the lengths of all its sides, which is 63m. Since there are 9 sides, we can set up the equation:

    9s = 63

    To find the length of each side, we can divide both sides of the equation by 9:

    s = 63 ÷ 9
    s = 7

    ### 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?

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of one side "x". Since the perimeter is the sum of all sides, we can set up the equation: 6x = 354.

    To find the length of one side, we can divide both sides of the equation by 6: x = 354 ÷ 6 = 59.

    ### 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?

Llama 3 70B:

    Let's add up the given side lengths:

    59m + 16m + 15m + 35m + 89m + 16m + 43m + x = 286m

    where x is the length of the unknown side.

    Combine like terms:

    224m + x = 286m

    Subtract 224m from both sides:

    x = 286m - 224m
    x = 62m

    ### Answer: 62m

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?

Llama 3 70B:

    Reasoning: Since it's a regular heptagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 7s. We know the perimeter is 616m, so we can set up the equation:

    7s = 616

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 616 ÷ 7
    s = 88

    ### Answer: 88m

Expected answer: 88

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, which is 6s. We are given that the perimeter is 36m, so we can set up the equation:

    6s = 36

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 36/6
    s = 6

    ### 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?

Llama 3 70B:

    Let's add up the lengths of the 11 given sides:

    88 + 24 + 83 + 64 + 16 + 14 + 90 + 36 + 47 = 462

    The total perimeter of the dodecagon is 492cm, so we can set up the equation:

    462 + x = 492

    where x is the length of the twelfth side.

    Subtracting 462 from both sides gives us:

    x = 492 - 462
    x = 30

    ### Answer: 30cm

Expected answer: 30

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, which is 6s. We are given that the perimeter is 306m, so we can set up the equation:

    6s = 306

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 306 ÷ 6
    s = 51

    ### Answer: 51m

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?

Llama 3 70B:

    Reasoning: Since the heptagon is regular, all its sides are equal. Let's call the length of each side "s". The perimeter of the heptagon is the sum of the lengths of all its sides, which is 7s. We are given that the perimeter is 238 meters, so we can set up the equation:

    7s = 238

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 238 ÷ 7
    s = 34

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The total perimeter is the sum of the lengths of all sides, which is 6s. We are given that the total perimeter is 42m, so we can set up the equation:

    6s = 42

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 42/6
    s = 7

    ### 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?

Llama 3 70B:

    Reasoning: A regular octagon has 8 sides of equal length. Let's call the length of each side "s". The perimeter of the octagon is the sum of the lengths of all its sides, which is 8s. We are given that the perimeter is 624m, so we can set up the equation:

    8s = 624

    To find the length of each side, we can divide both sides of the equation by 8:

    s = 624 ÷ 8
    s = 78

    ### 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?

Llama 3 70B:

    Let's first find the total length of the nine given sides:

    17 + 13 + 61 + 16 + 11 + 83 + 28 + 48 + 93 = 370

    Since the total perimeter of the polygon is 468 meters, we can set up the equation:

    370 + x = 468

    where x is the length of the tenth side. To solve for x, we can subtract 370 from both sides of the equation:

    x = 468 - 370
    x = 98

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: Since it's a regular pentagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 380m. Since there are 5 sides, we can set up the equation: 5s = 380.

    To find the length of each side, we can divide both sides of the equation by 5: s = 380 ÷ 5 = 76.

    ### 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?

Llama 3 70B:

    Reasoning: A regular octagon has 8 sides of equal length. Let's call the length of one side "x". The perimeter of the octagon is the sum of the lengths of all its sides, which is 104cm. Since there are 8 sides, we can set up the equation:

    8x = 104

    To find the length of one side, we can divide both sides of the equation by 8:

    x = 104 ÷ 8
    x = 13

    ### Answer: 13cm

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?

Llama 3 70B:

    Reasoning: Since it's a regular heptagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 7s. We know the perimeter is 637m, so we can set up the equation:

    7s = 637

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 637 ÷ 7
    s = 91

    ### Answer: 91m

Expected answer: 91

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular pentagon has 5 equal sides. Let's call the length of each side "s". The perimeter of the pentagon is the sum of the lengths of all its sides, which is 5s. We are given that the perimeter is 35m, so we can set up the equation:

    5s = 35

    To find the length of each side, we can divide both sides of the equation by 5:

    s = 35/5
    s = 7

    ### 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?

Llama 3 70B:

    Let's start by adding up the lengths of the four known sides:

    45cm + 93cm + 36cm + 22cm = 196cm

    The perimeter of the pentagon is 223cm, so the length of the fifth side can be found by subtracting the sum of the known sides from the perimeter:

    223cm - 196cm = 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?

Llama 3 70B:

    Let's first add up the lengths of the given sides:

    75cm + 81cm + 22cm + 94cm + 91cm + x = 423cm

    where x is the length of the unknown side.

    Combine the given side lengths:

    363cm + x = 423cm

    Subtract 363cm from both sides:

    x = 423cm - 363cm
    x = 60cm

    ### Answer: 60cm

Expected answer: 50

Correct? No

🔗 Problem

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

Llama 3 70B:

    Reasoning: Since it's a regular decagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 10s. We know the perimeter is 600m, so we can set up the equation:

    10s = 600

    To find the length of each side, we can divide both sides of the equation by 10:

    s = 600 ÷ 10
    s = 60

    ### 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?

Llama 3 70B:

    Reasoning: Since it's a regular octagon, all sides are equal. Let's call the length of each side "s". The perimeter of an octagon is the sum of all its sides, which is 8s. We are given that the perimeter is 632m, so we can set up the equation:

    8s = 632

    To find the length of each side, we can divide both sides of the equation by 8:

    s = 632 ÷ 8
    s = 79

    ### 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?

Llama 3 70B:

    Reasoning: Since it's a regular septagon, all sides are equal. Let's call the length of each side "x". The total perimeter is the sum of all sides, which is 7x. We know the total perimeter is 161m, so we can set up the equation:

    7x = 161

    To find the length of each side, we can divide both sides of the equation by 7:

    x = 161 ÷ 7
    x = 23

    ### Answer: 23m

Expected answer: 23

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, which is 6s. We are given that the perimeter is 96m, so we can set up the equation:

    6s = 96

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 96/6
    s = 16

    ### 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.

Llama 3 70B:

    Let's add up the lengths of the given sides:

    50 + 31 + 24 + 28 + 13 + 97 + 63 + 88 = 394

    Since the total perimeter is 402m, we can set up the equation:

    394 + x = 402

    where x is the length of the ninth side.

    Subtracting 394 from both sides gives us:

    x = 402 - 394
    x = 8

    ### 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?

Llama 3 70B:

    Reasoning: Since it's a regular heptagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 385m. Since there are 7 sides, we can set up the equation: 7s = 385.

    To find the length of each side, we can divide both sides of the equation by 7: s = 385 ÷ 7 = 55.

    ### 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?

Llama 3 70B:

    Let's first find the total length of the given sides:

    89 + 2 + 10 + 48 + 94 + 59 = 302 meters

    The total perimeter of the polygon is 358 meters, so the length of the remaining side is:

    358 - 302 = 56 meters

    ### Answer: 56

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?

Llama 3 70B:

    Reasoning: An octagon has 8 sides. Let's call the length of each side "x". Since the total perimeter is 496m, we can set up the equation:

    8x = 496

    To find the length of each side, we can divide both sides of the equation by 8:

    x = 496 ÷ 8
    x = 62

    ### Answer: 62m

Expected answer: 62

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular octagon has 8 sides of equal length. Let's call the length of each side "s". The perimeter of the octagon is the sum of the lengths of all its sides, which is 800m. Since there are 8 sides, we can set up the equation:

    8s = 800

    To find the length of each side, we can divide both sides of the equation by 8:

    s = 800 ÷ 8
    s = 100

    ### 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?

Llama 3 70B:

    Reasoning: A nonagon is a polygon with 9 sides. Let's call the length of one side "s". Since the perimeter is the sum of all side lengths, we can set up the equation:

    9s = 702

    To find the length of one side, we can divide both sides of the equation by 9:

    s = 702 ÷ 9
    s = 78

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A nonagon is a polygon with 9 sides. Since it's a regular nonagon, all sides are equal. Let's call the length of one side "x". The perimeter is the sum of all sides, so we can set up the equation:

    9x = 855

    To find the length of one side, we can divide both sides of the equation by 9:

    x = 855 ÷ 9
    x = 95

    ### Answer: 95cm

Expected answer: 95

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A heptagon has 7 sides. Let's call the length of each side "s". The perimeter of the heptagon is the sum of the lengths of all its sides, which is 7s. We are given that the perimeter is 504 meters, so we can set up the equation:

    7s = 504

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 504 ÷ 7
    s = 72

    ### 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?

Llama 3 70B:

    Reasoning: A nonagon is a polygon with 9 sides. Since it's a regular nonagon, all sides are equal. Let's call the length of each side "s". The perimeter of the nonagon is the sum of the lengths of all its sides, which is 9s. We are given that the perimeter is 657m, so we can set up the equation:

    9s = 657

    To find the length of each side, we can divide both sides of the equation by 9:

    s = 657 ÷ 9
    s = 73

    ### 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?

Llama 3 70B:

    Reasoning: Since it's a regular octagon, all sides are equal. Let's call the length of each side "s". The total perimeter is the sum of all sides, which is 48 cm. Since there are 8 sides, we can set up the equation: 8s = 48.

    To find the length of each side, we can divide both sides of the equation by 8: s = 48 ÷ 8 = 6.

    ### 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?

Llama 3 70B:

    Let's add up the lengths of the given sides:

    28m + 37m + 51m + 84m + 54m + 31m + 94m + x = 399m

    where x is the length of the unknown side.

    Combine the given lengths:

    285m + x = 399m

    Subtract 285m from both sides:

    x = 399m - 285m
    x = 114m

    ### Answer: 114m

Expected answer: 8

Correct? No

🔗 Problem

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

Llama 3 70B:

    Reasoning: A nonagon is a polygon with 9 sides. Since it's a regular nonagon, all sides are equal. Let's call the length of one side "x". The perimeter is the sum of all sides, so we can set up the equation:

    9x = 342

    To find the length of one side, we can divide both sides of the equation by 9:

    x = 342 ÷ 9
    x = 38

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the 7 given sides:

    7 + 59 + 49 + 38 + 53 + 21 + 34 = 261

    Since the total perimeter of the polygon is 330 m, we can set up the equation:

    261 + x = 330

    where x is the length of the eighth side.

    Subtracting 261 from both sides of the equation, we get:

    x = 330 - 261
    x = 69

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the given sides:

    88 + 96 + 74 + 52 + 45 + 74 + 85 + 85 + 43 = 642

    Since the total perimeter of the decagon is 682m, we can set up the equation:

    642 + x = 682

    where x is the length of the tenth side.

    Subtracting 642 from both sides gives us:

    x = 682 - 642
    x = 40

    ### Answer: 40

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?

Llama 3 70B:

    Reasoning: Since the septagon has a constant perimeter of 161m and all sides are equal, we can divide the perimeter by the number of sides to find the length of each side.

    Perimeter = 161m
    Number of sides = 7

    Length of each side = Perimeter ÷ Number of sides
    = 161m ÷ 7
    = 23m

    ### Answer: 23m

Expected answer: 23

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, so we can set up the equation:

    6s = 324

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 324 ÷ 6
    s = 54

    ### Answer: 54m

Expected answer: 54

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular pentagon has 5 congruent sides. Let's call the length of one side "x". Since the perimeter is the sum of all sides, we can set up the equation: 5x = 385. To find the length of one side, we can divide both sides of the equation by 5: x = 385 ÷ 5 = 77.
    ### Answer: 77

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?

Llama 3 70B:

    Reasoning: Since it's a regular septagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 7s. We know the perimeter is 245m, so we can set up the equation:

    7s = 245

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 245 ÷ 7
    s = 35

    ### 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?

Llama 3 70B:

    Reasoning: A regular pentagon has 5 equal sides. Let's call the length of one side "x". The perimeter of the pentagon is the sum of the lengths of all its sides, which is 5x. We are given that the perimeter is 25cm, so we can set up the equation:

    5x = 25

    To find the length of one side, we can divide both sides of the equation by 5:

    x = 25/5
    x = 5

    ### Answer: 5cm

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.

Llama 3 70B:

    Let's start by adding up the lengths of the five given sides:

    9m + 49m + 100m + 73m + 84m = 315m

    Since the total perimeter of the hexagon is 380m, we can set up the equation:

    315m + x = 380m

    where x is the length of the sixth side.

    Subtracting 315m from both sides gives us:

    x = 380m - 315m
    x = 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?

Llama 3 70B:

    Let's add up the lengths of the given sides:

    23m + 67m + 57m + 94m + 93m + 18m + x = 419m

    where x is the length of the missing side.

    Combine like terms:

    352m + x = 419m

    Subtract 352m from both sides:

    x = 419m - 352m
    x = 67m

    ### Answer: 67m

Expected answer: 37

Correct? No

🔗 Problem

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

Llama 3 70B:

    Reasoning: Since it's a regular heptagon, all sides are equal. Let's call the length of each side "s". The perimeter is the sum of all sides, which is 287m. Since there are 7 sides, we can set up the equation: 7s = 287.

    To find the length of each side, we can divide both sides of the equation by 7: s = 287 ÷ 7 = 41.

    ### Answer: 41m

Expected answer: 41

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A regular pentagon has 5 equal sides. Let's call the length of each side "s". The perimeter of the pentagon is the sum of the lengths of all its sides, which is 5s. We are given that the perimeter is 55m, so we can set up the equation:

    5s = 55

    To find the length of each side, we can divide both sides of the equation by 5:

    s = 55/5
    s = 11

    ### 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?

Llama 3 70B:

    Reasoning: Since the nonagon has 9 sides of equal length, we can set up the equation:

    9x = 657

    where x is the length of each side.

    To solve for x, we can divide both sides of the equation by 9:

    x = 657 ÷ 9
    x = 73

    ### 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?

Llama 3 70B:

    Reasoning: A regular hexagon has 6 sides of equal length. Let's call the length of each side "s". The perimeter of the hexagon is the sum of the lengths of all its sides, which is 6s. We are given that the perimeter is 78m, so we can set up the equation:

    6s = 78

    To find the length of each side, we can divide both sides of the equation by 6:

    s = 78/6
    s = 13

    ### 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?

Llama 3 70B:

    Reasoning: A regular octagon has 8 sides of equal length. Let's call the length of one side "s". The total perimeter is the sum of the lengths of all sides, so we can set up the equation:

    8s = 600

    To find the length of one side, we can divide both sides of the equation by 8:

    s = 600 ÷ 8
    s = 75

    ### Answer: 75

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?

Llama 3 70B:

    Let's add up the given side lengths:

    39m + 26m + 47m + 52m + 66m + 17m + x = 356m

    where x is the length of the last side.

    First, let's add up the given side lengths:

    39m + 26m + 47m + 52m + 66m + 17m = 247m

    Now, we can set up an equation:

    247m + x = 356m

    Subtract 247m from both sides:

    x = 356m - 247m
    x = 109m

    ### Answer: 109m

Expected answer: 75

Correct? No

🔗 Problem

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

Llama 3 70B:

    Reasoning: A decagon is a polygon with 10 sides. Since it's a regular decagon, all sides are equal. Let's call the length of each side "s". The perimeter of the decagon is the sum of the lengths of all its sides, which is 10s. We are given that the perimeter is 930 cm, so we can set up the equation:

    10s = 930

    To find the length of each side, we can divide both sides of the equation by 10:

    s = 930/10
    s = 93

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the known sides:

    24m + 25m + 75m + 38m + 18m + 42m + 61m = 283m

    Since the total perimeter of the decagon is 359m, we can set up an equation to find the length of one of the unknown sides:

    283m + x + y = 359m

    where x and y are the lengths of the two unknown sides.

    Since the decagon has 10 sides, we know that x and y must be equal (because the decagon is symmetrical). Therefore, we can rewrite the equation as:

    283m + x + x = 359m

    Combine like terms:

    283m + 2x = 359m

    Subtract 283m from both sides:

    2x = 76m

    Divide both sides by 2:

    x = 38m

    So, the length of one of the unknown sides is 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?

Llama 3 70B:

    Reasoning: A nonagon has 9 sides. We are given the lengths of 8 sides: 52m, 52m, 44m, 53m, 41m, 91m, 25m, and 2m. We can find the total length of these 8 sides by adding them up: 52 + 52 + 44 + 53 + 41 + 91 + 25 + 2 = 360m. The total perimeter of the nonagon is 368m, so the length of the final side is 368 - 360 = 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?

Llama 3 70B:

    Reasoning: A regular octagon has 8 sides of equal length. Let's call the length of one side "x". Since the perimeter is the sum of all sides, we can set up the equation:

    8x = 592

    To find the length of one side, we can divide both sides of the equation by 8:

    x = 592 ÷ 8
    x = 74

    ### Answer: 74cm

Expected answer: 74

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A heptagon has 7 sides. Let's call the length of each side "s". The perimeter of the heptagon is the sum of the lengths of all its sides, which is 7s. We are given that the perimeter is 245m, so we can set up the equation:

    7s = 245

    To find the length of each side, we can divide both sides of the equation by 7:

    s = 245 ÷ 7
    s = 35

    ### Answer: 35m

Expected answer: 35

Correct? Yes

🔗 Problem

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

Llama 3 70B:

    Reasoning: A decagon is a polygon with 10 sides. Since it's a regular decagon, all sides are equal. Let's call the length of each side "s". The perimeter of the decagon is the sum of the lengths of all its sides, which is 10s. We are given that the perimeter is 140m, so we can set up the equation:

    10s = 140

    To find the length of each side, we can divide both sides of the equation by 10:

    s = 140/10
    s = 14

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the given sides:

    44 + 5 + 96 + 78 + 49 + 84 + 72 + 74 + 21 + 39 = 562

    The total perimeter of the polygon is 655cm, so the length of the 11th side is:

    655 - 562 = 93

    ### 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?

Llama 3 70B:

    Let's first add up the lengths of the given sides:

    69m + 81m + 34m + 35m + 38m = 257m

    Since the total perimeter is 265m, we can set up an equation to find the length of the remaining side:

    257m + x = 265m

    Subtract 257m from both sides:

    x = 265m - 257m
    x = 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.

Llama 3 70B:

    Let's start by adding up the lengths of the four known sides:

    22m + 14m + 93m + 75m = 204m

    Since the total perimeter is 234m, we can set up an equation to find the length of the fifth side:

    204m + x = 234m

    where x is the length of the fifth side.

    Subtracting 204m from both sides gives us:

    x = 234m - 204m
    x = 30m

    ### Answer: 30m

Expected answer: 30

Correct? Yes