🔗 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?

CodeLlama 7B:

      The remaining measurement that hasn't been included in the total yet is 41 miles.

    The total of the individual measurements is 368 miles, which is the sum of the individual measurements:

    41 + 28 + 90 + 32 + 10 + 98 = 368

    Therefore, the missing measurement is 41 miles.

Expected answer: 69

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a regular polygon, which is:

    P = n \* s

    where P is the perimeter, n is the number of sides, and s is the length of one side.

    In this case, we know that the perimeter is 300cm, and we can set up the equation:

    300 = 5 \* s

    where 5 is the number of sides of the pentagon.

    Now, we can use the fact that the sum of the angles in a regular polygon is 360 degrees to find the length of one side. The sum of the angles in a regular polygon is given by:

    180 + (n-2) \* 180

    where n is the number of sides.

    In this case, we know that the number of sides is 5, so we can set up the equation:

    180 + (5-2) \* 180 = 180 + 3 \* 180 = 180 + 540 = 720

    Now, we can solve for s:

    s = P / n

    Substituting the values we know, we get:

    s = 300 / 5

    s = 60cm

    So, the length of the fifth side of the pentagon is 60cm.

Expected answer: 96

Correct? No

🔗 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?

CodeLlama 7B:

      To find the length of the ninth side, we can use the fact that the perimeter of a regular nonagon is equal to the sum of the lengths of all its sides.

    Perimeter = 14 + 94 + 3 + 20 + 57 + 83 + 96 + 85 = 521

    Since the perimeter is given as 521, we can set up the equation:

    14 + 94 + 3 + 20 + 57 + 83 + 96 + 85 = 521

    Simplifying the equation, we get:

    356 = 521

    Subtracting 356 from both sides gives us:

    -165 = -356

    Dividing both sides by -165 gives us:

    9/165 = 1/2

    Multiplying both sides by 165 gives us:

    9 = 165

    Therefore, the length of the ninth side is 165.

Expected answer: 69

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the polygon:

    Perimeter = 54 + 51 + 5 + 22 + 93 = 274

    Now, let's find the length of the sixth side:

    Length of sixth side = 274 - (54 + 51 + 5 + 22) = 274 - 122 = 152

    Therefore, the length of the sixth side is 152cm.

Expected answer: 49

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular pentagon can be found by dividing the perimeter of the pentagon by the number of sides. In this case, the perimeter of the pentagon is 310 m and the number of sides is 5.

    Perimeter = 310 m
    Number of sides = 5

    Length of each side = Perimeter / Number of sides
    Length of each side = 310 m / 5
    Length of each side = 62 m

    Therefore, the length of each side of a regular pentagon with a perimeter of 310 m is 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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a polygon:

    Perimeter = a + b + c + d + e

    where a, b, c, d, and e are the lengths of the sides of the polygon.

    In this case, we know that the perimeter of the polygon is 315cm, so we can set up the equation:

    a + b + c + d + e = 315

    We also know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e = 78 + 93 + 21 + 4 + 21 = 210

    So, we can set up the equation:

    210 = 315

    Solving for a, we get:

    a = 315 - 210 = 105

    So, the length of the last side of the polygon is 105cm.

Expected answer: 98

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of an 8-sided polygon is equal to the sum of the lengths of all its sides. Since the perimeter of the octagon is 160m, we can set up the equation:

    8s = 160

    where s is the length of each side.

    To solve for s, we can divide both sides of the equation by 8:

    s = 160/8

    s = 20

    Therefore, the length of each side of the octagon is 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the octagon.

    The perimeter of an octagon is the sum of the lengths of all its sides. Since we know the length of 7 sides, we can find the length of the 8th side by subtracting the sum of the first 7 sides from the total perimeter.

    The total perimeter of the octagon is 224cm.

    The sum of the first 7 sides is:
    6cm + 4cm + 95cm + 34cm + 19cm + 14cm + 26cm = 224cm

    So, the length of the 8th side is:
    224cm - (6cm + 4cm + 95cm + 34cm + 19cm + 14cm + 26cm) = 224cm - 224cm = 0cm

    Therefore, the length of the 8th side is 0cm.

Expected answer: 26

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular hexagon is equal to the sum of the lengths of all its sides. Since the perimeter of the hexagon is 174 meters, we can set up the equation:

    6s = 174

    where s is the length of one side.

    Solving for s, we get:

    s = 174/6

    s = 28.67 meters

    Therefore, the length of one side of the regular hexagon is 28.67 meters.

Expected answer: 29

Correct? No

🔗 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?

CodeLlama 7B:

      The length of the 11th side of the dodecagon can be found by using the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of one side.

    In this case, the number of sides is 11, and the length of one side is given as 54cm. Plugging these values into the formula, we get:

    Perimeter = 11 \* 54 = 584cm

    Since the total perimeter of the dodecagon is given as 538cm, we can set up the equation:

    584 = 538 + x

    where x is the length of the 11th side. Solving for x, we get:

    x = 584 - 538 = 46cm

    Therefore, the length of the 11th side of the dodecagon is 46cm.

Expected answer: 96

Correct? No

🔗 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?

CodeLlama 7B:

      Let's call the length of the last side "x".

    We know that the sum of the lengths of all sides is 357 cm.

    So, we can write the equation:

    61 + 84 + 80 + 11 + x = 357

    Simplifying the equation:

    268 + x = 357

    Subtracting 268 from both sides:

    x = 89

    So, the length of the last side is 89 cm.

Expected answer: 50

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of one side of a regular octagon is equal to half the perimeter of the octagon.

    Perimeter = 544m

    Length of one side = 544/8 = 68m

    Therefore, the length of one side of a regular octagon is 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.

CodeLlama 7B:

      The perimeter of a regular decagon (10-sided polygon) is given by the formula:

    Perimeter = 10r

    where r is the length of one side.

    Since the perimeter is given as 960m, we can set up the equation:

    10r = 960

    Now, we can solve for r:

    r = 960/10

    r = 96m

    Therefore, the length of one side of the regular decagon is 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?

CodeLlama 7B:

      To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the number of sides is 7 and the perimeter is 203m, so we can plug these values into the formula to solve for the length of each side:

    203 = 7 \* s

    s = 203 / 7

    s = 30.43

    So, each side of the regular heptagon is 30.43m long.

Expected answer: 29

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular heptagon can be found by dividing 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 / 7
    Length of each side = 7 meters

    Therefore, the length of each side of a regular heptagon is 7 meters.

Expected answer: 7

Correct? Yes

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular heptagon is equal to the sum of the lengths of its sides. Since the perimeter is 329m, we can set up the equation:

    7s = 329

    where s is the length of each side.

    To solve for s, we can divide both sides of the equation by 7:

    s = 329/7

    s = 47.14

    So, the length of each side of the regular heptagon is 47.14m.

Expected answer: 47

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a heptagon:

    P = a + a + a + a + a + a + a

    where a is the length of one side.

    We know that the total perimeter of the heptagon is 486m, so we can set up the equation:

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

    where x is the length of the sixth side.

    Simplifying the equation, we get:

    486 = 369 + 2x

    Solving for x, we get:

    2x = 117

    x = 58.5m

    So the length of the sixth side is 58.5m.

Expected answer: 81

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular heptagon can be found by dividing the perimeter by the number of sides.

    Perimeter = 546m
    Number of sides = 7

    Length of each side = Perimeter / Number of sides
    Length of each side = 546m / 7
    Length of each side = 78.4m

    Therefore, the length of each side of a regular heptagon is 78.4m.

Expected answer: 78

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a nonagon:

    P = a + b + c + d + e + f + g + h + i

    where a, b, c, d, e, f, g, h, and i are the lengths of the sides of the nonagon, and P is the perimeter.

    We are given that the perimeter of the nonagon is 532cm. Let's substitute this value into the formula:

    532 = 26 + 45 + 75 + 68 + 63 + 80 + 100 + x + x

    where x is the length of the ninth side.

    Now we can solve for x:

    532 = 26 + 45 + 75 + 68 + 63 + 80 + 100 + x + x
    532 = 26 + 45 + 75 + 68 + 63 + 80 + 100 + 2x
    532 = 26 + 45 + 75 + 68 + 63 + 80 + 100 + 2x
    532 - 26 - 45 - 75 - 68 - 63 - 80 - 100 = 2x
    270 = 2x
    2x = 270
    x = 135

    Therefore, the length of the ninth side of the nonagon is 135cm.

Expected answer: 75

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by using the fact that all sides are equal in length. This means that the sum of the lengths of all sides is equal to the perimeter of the shape.

    The perimeter of the shape is given as 452m.

    The sum of the lengths of all sides is:

    62m + 76m + 98m + 74m + ? + 54m + 4m + 24m + 48m = 452m

    We know that the length of the unknown side is ?.

    So, we can write the equation:

    62m + 76m + 98m + 74m + ? + 54m + 4m + 24m + 48m = 452m

    Now, we can simplify the equation by combining like terms:

    254m + ? + 162m = 452m

    Subtracting ? from both sides gives us:

    254m + ? = 452m

    Subtracting 162m from both sides gives us:

    192m = 300m

    Dividing both sides by 2 gives us:

    96m = 150m

    This is a contradiction, since 96m is not equal to 150m. Therefore, the equation is not solvable.

Expected answer: 12

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found using the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter is 78m and the number of sides is 6, so we can set up the equation:

    78 = 6 \* s

    Solving for s, we get:

    s = 78/6 = 13.5m

    So the length of each side of the regular hexagon is 13.5m.

Expected answer: 13

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular nonagon is equal to the sum of the lengths of all its sides. Since the perimeter is given as 171m, we can set up the equation:

    171 = a + a + a + a + a + a + a + a + a

    where a is the length of each side.

    Now, we can simplify the equation by recognizing that each side is equal to the length of the other sides, so we can write:

    171 = 9a

    Solving for a, we get:

    a = 19

    So, the length of each side of the regular nonagon is 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the nonagon:

    P = a + b + c + d + e + f + g + h + i

    where a, b, c, d, e, f, g, h, and i are the lengths of the sides of the nonagon.

    We know that the perimeter of the nonagon is 318 cm, so we can set up the equation:

    a + b + c + d + e + f + g + h + i = 318

    We also know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e + f + g + h + i = 2(a + b + c + d + e + f + g + h + i)

    Substituting the first equation into the second equation, we get:

    2(a + b + c + d + e + f + g + h + i) = 318

    Simplifying, we get:

    a + b + c + d + e + f + g + h + i = 159

    Now we can solve for the unknown side length. Let's call it x. We know that the sum of the lengths of the sides is equal to the perimeter, so we can set up the equation:

    a + b + c + d + e + f + g + h + i + x = 318

    Substituting the values we know, we get:

    8 + 17 + 30 + 17 + 86 + 55 + 68 + x = 318

    Simplifying, we get:

    245 + x = 318

    Subtracting 245 from both sides, we get:

    x = 73

    So the length of the unknown side is 73 cm.

Expected answer: 37

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular polygon is equal to the sum of the lengths of all its sides. Since the perimeter of the polygon is 858m, we can set up the equation:

    n + n + n + ... + n = 858

    where n is the length of each side.

    Since the polygon is 11-sided, we can write the equation as:

    11n = 858

    To solve for n, we can divide both sides of the equation by 11:

    n = 858/11

    n = 74.19

    So, the length of each side of the 11-sided regular polygon is 74.19m.

Expected answer: 78

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular decagon is 360/10 = 36m.

Expected answer: 36

Correct? Yes

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found by dividing the perimeter by the number of sides. In this case, the perimeter is 522m and the number of sides is 6, so the length of each side is:

    522m / 6 = 87.33m

    So, the length of each side of the regular hexagon is 87.33m.

Expected answer: 87

Correct? No

🔗 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.

CodeLlama 7B:

      To find the length of each side of a regular polygon with 11 sides, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    We are given that the perimeter of the polygon is 418m, so we can set up the equation:

    418 = n \* s

    We are also told that each side is the same length, so we can set up the equation:

    s = x

    where x is the length of each side.

    Now we can solve the system of equations:

    418 = n \* x
    x = x

    Substituting the second equation into the first equation, we get:

    418 = n \* x
    418 = 11 \* x

    Dividing both sides by x, we get:

    n = 11

    So there are 11 sides to the regular polygon.

    Now we can find the length of each side by using the formula:

    s = perimeter / n

    s = 418 / 11

    s = 37.14

    So the length of each side of the regular polygon is 37.14m.

Expected answer: 38

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a polygon:

    Perimeter = a + b + c + d + e

    where a, b, c, d, and e are the lengths of the sides of the polygon.

    In this case, we know that the perimeter of the polygon is 278m, so we can set up the equation:

    a + b + c + d + e = 278

    We also know that the length of the sixth side is x, so we can write the equation as:

    a + b + c + d + e + x = 278

    Now, we can use the fact that the sum of the lengths of the sides of a polygon is equal to the perimeter of the polygon to write:

    a + b + c + d + e = 278

    Subtracting this equation from the previous equation, we get:

    x = 278 - (a + b + c + d + e)

    We know that the sum of the lengths of the sides of a polygon is equal to half the perimeter, so we can write:

    a + b + c + d + e = 139

    Substituting this into the previous equation, we get:

    x = 278 - (139)

    x = 139

    So, the length of the sixth side is 139m.

Expected answer: 60

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular pentagon is equal to the sum of the lengths of all its sides. Since the perimeter of the pentagon is 385cm, we can set up the equation:

    5s = 385

    where s is the length of each side.

    To solve for s, we can divide both sides of the equation by 5:

    s = 385/5

    s = 77

    Therefore, each side of the regular pentagon is 77cm long.

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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a polygon:

    Perimeter = a + b + c + ... + n

    where a, b, c, ..., n are the lengths of the sides of the polygon.

    In this case, we know the lengths of the first ten sides, so we can write:

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

    This gives us the following equation:

    663 = 97 + 93 + 35 + 1 + 27 + 86 + 68 + 96 + 45 + 61 + x

    where x is the length of the unknown eleventh side.

    Now, let's solve for x. We can do this by subtracting the first ten sides from both sides of the equation:

    663 - 97 - 93 - 35 - 1 - 27 - 86 - 68 - 96 - 45 = x

    This gives us:

    578 = x

    So, the length of the unknown eleventh side is 578 meters.

Expected answer: 54

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the decagon.

    The perimeter of a decagon is equal to the sum of the lengths of all its sides.

    Perimeter = 54 + 49 + 85 + 48 + 85 + 19 + 94 + 44 + 54 = 360

    Since the total perimeter is given as 575, we can set up the equation:

    360 = 575

    Solving for the length of the tenth side, we get:

    54 = 575 - 360

    54 = 215

    Therefore, the length of the tenth side is 215m.

Expected answer: 43

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular octagon can be found by dividing the perimeter by the number of sides. Since a regular octagon has 8 sides, we can find the length of each side by dividing 248 by 8:

    Length of each side = 248 / 8 = 31.25m

    So, the length of each side of the regular octagon is 31.25m.

Expected answer: 31

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular pentagon can be found by dividing the perimeter of the pentagon by the number of sides.

    Perimeter = 390m
    Number of sides = 5

    Length of each side = Perimeter / Number of sides
    Length of each side = 390m / 5
    Length of each side = 78m

    Therefore, the length of each side of a regular pentagon with a perimeter of 390m is 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.

CodeLlama 7B:

      The perimeter of a decagon is given by the sum of the lengths of all its sides. Since the perimeter is 522m, we can set up the equation:

    6m + 85m + 83m + 73m + 25m + 66m + 54m + 87m + 21m = 522m

    Simplifying the equation, we get:

    305m = 522m

    Dividing both sides by 3, we get:

    105m = 171m

    Since the length of the tenth side is not given, we can assume that it is equal to 105m.

    Therefore, the length of the tenth side is 105m.

Expected answer: 22

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular octagon can be found by dividing the perimeter by the number of sides.

    Perimeter = 408m
    Number of sides = 8

    Length of each side = Perimeter / Number of sides
    Length of each side = 408 / 8
    Length of each side = 52m

    Therefore, the length of each side of a regular octagon is 52m.

Expected answer: 51

Correct? No

🔗 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?

CodeLlama 7B:

      To find the length of each side of an octagon, we can use the formula for the perimeter of an octagon, which is 8 times the length of each side.

    Perimeter = 8s

    We are given that the perimeter of the octagon is 696 meters.

    696 = 8s

    Solving for s, we get:

    s = 696/8

    s = 92

    Therefore, the length of each side of the octagon is 92 meters.

Expected answer: 87

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of an octagon is equal to 8 times the length of each side, so if the perimeter is 744m, the length of each side is 744/8 = 93.625m.

    Therefore, the length of each side of the octagon is 93.625m.

Expected answer: 93

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular nonagon is equal to 9 times the length of one side, so we can set up the equation:

    270 = 9x

    where x is the length of one side.

    Solving for x, we get:

    x = 270/9

    x = 30

    So the length of one side of a regular nonagon is 30 meters.

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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a polygon: P = n \* s, where P is the perimeter, n is the number of sides, and s is the length of each side.

    In this case, we know that the perimeter is 350cm, and we have 9 sides. So, we can set up the equation:

    350 = 9 \* s

    Now, we can use the fact that the sum of the lengths of the sides is equal to the perimeter:

    30 + 18 + 68 + 23 + 72 + 57 + 33 + 19 = 350

    We can use this equation to solve for the length of the unknown side:

    s = (350 - 30 - 18 - 68 - 23 - 72 - 57 - 33) / 9

    s = (350 - 30 - 18 - 68 - 23 - 72 - 57 - 33) / 9

    s = 19

    So, the length of the unknown side is 19cm.

Expected answer: 30

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the nonagon.

    The perimeter of a nonagon is equal to the sum of the lengths of all its sides. Since we know the length of eight sides, we can find the length of the ninth side by using the formula:

    Perimeter = 8(a) + 9(b)

    where a is the length of the first side and b is the length of the second side.

    We are given that the total perimeter of the nonagon is 188m, so we can set up the equation:

    8(a) + 9(b) = 188

    Now, we can solve for a and b.

    First, we can simplify the equation by combining the like terms:

    8a + 9b = 188

    Next, we can subtract 8a from both sides of the equation to get:

    9b = 170

    Now, we can divide both sides of the equation by 9 to get:

    b = 19

    Now, we can find the length of the first side by using the formula:

    a = (188 - 9b) / 8

    Substituting the value of b that we found earlier, we get:

    a = (188 - 19) / 8

    a = 16

    So, the length of the first side is 16m.

    Now, we can find the length of the second side by using the formula:

    b = (188 - 8a) / 9

    Substituting the value of a that we found earlier, we get:

    b = (188 - 16) / 9

    b = 11

    So, the length of the second side is 11m.

    Therefore, the lengths of the sides of the nonagon are:

    16m, 7m, 10m, 16m, 32m, 15m, 70m, 11m

    The total perimeter of the nonagon is 188m, which is correct.

Expected answer: 19

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found by dividing the perimeter of the hexagon by the number of sides. In this case, the perimeter of the hexagon is 90m and it has 6 sides, so the length of each side is:

    90m / 6 = 15m

    Therefore, the length of each side of the regular hexagon is 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?

CodeLlama 7B:

      To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter of the heptagon is 287m, so we can set up the equation:

    287 = 7 \* s

    where 7 is the number of sides of the heptagon.

    Now, we can solve for s:

    s = 287 / 7

    s = 41.42m

    So, the length of each side of the regular heptagon is 41.42m.

Expected answer: 41

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular pentagon can be found by dividing the perimeter of the pentagon by the number of sides. In this case, the perimeter of the pentagon is 50m and it has 5 sides, so the length of each side is:

    50m / 5 = 10m

    Therefore, the length of each side of the regular pentagon is 10m.

Expected answer: 10

Correct? Yes

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular nonagon is equal to the sum of the lengths of all its sides. Since the perimeter is given as 63m, we can set up the equation:

    63 = a + a + a + a + a + a + a + a + a

    where a is the length of each side.

    Now, we can simplify the equation by recognizing that each side is equal to the length of the other sides, so we can write:

    63 = 9a

    Solving for a, we get:

    a = 7m

    Therefore, the length of each side of the regular nonagon is 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?

CodeLlama 7B:

      The length of one side of a regular hexagon is equal to half the perimeter of the hexagon.

    Perimeter = 354m

    Side length = 354/6 = 58.33m

    Therefore, the length of one side of the regular hexagon is 58.33m.

Expected answer: 59

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the polygon:

    P = a + b + c + d + e + f + g + h = 286

    where a, b, c, d, e, f, g, and h are the lengths of the sides of the polygon.

    We know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e + f + g + h = 286

    We also know that the length of the last side is unknown, so we can write:

    h = x

    Substituting this into the equation for the perimeter, we get:

    a + b + c + d + e + f + g + x = 286

    We can simplify this equation by combining like terms:

    a + b + c + d + e + f + g + x = 286

    Now we can solve for x:

    x = 286 - (a + b + c + d + e + f + g)

    We can find the sum of the first seven sides by adding them up:

    a + b + c + d + e + f + g = 59 + 16 + 15 + 35 + 89 + 16 + 43 = 286

    So we can substitute this value into the equation for x:

    x = 286 - (59 + 16 + 15 + 35 + 89 + 16 + 43)

    x = 286 - 206

    x = 86

    Therefore, the length of the last side of the polygon is 86m.

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?

CodeLlama 7B:

      To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter of the heptagon is 616 meters, and the number of sides is 7. So, we can set up the equation:

    616 = 7 \* s

    Solving for s, we get:

    s = 616 / 7

    s = 89.6 meters

    Therefore, the length of each side of the regular heptagon is 89.6 meters.

Expected answer: 88

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found by dividing the perimeter by the number of sides. In this case, the perimeter is 36m and the number of sides is 6, so the length of each side is:

    36m / 6 = 6m

    Therefore, the length of each side of the regular hexagon is 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?

CodeLlama 7B:

      The perimeter of a dodecagon is given by the formula: P = 12s, where s is the length of each side.

    We are given that the total perimeter of the dodecagon is 492cm, so we can set up the equation:

    12s = 492

    We also know that the lengths of the first 11 sides are given as follows:

    s1 = 88cm, s2 = 24cm, s3 = 83cm, s4 = 64cm, s5 = 16cm, s6 = 14cm, s7 = 90cm, s8 = 36cm, s9 = 47cm, s10 = 32cm, s11 = 21cm

    We can substitute these values into the equation above to get:

    12(88+24+83+64+16+14+90+36+47+32+21) = 492

    Simplifying the equation, we get:

    12(460) = 492

    Solving for s12, we get:

    s12 = 492 - 12(460) = 492 - 5440 = -4996

    Therefore, the length of the twelfth side of the dodecagon is -4996cm.

Expected answer: 30

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found by dividing the perimeter by the number of sides. In this case, the perimeter is 306m and the number of sides is 6, so the length of each side is:

    306m / 6 = 54.33m

    So, the length of each side of the regular hexagon is 54.33m.

Expected answer: 51

Correct? No

🔗 Problem

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

CodeLlama 7B:

      To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter of the heptagon is 238 meters, and the number of sides is 7. So, we can set up the equation:

    238 = 7 \* s

    To solve for s, we can divide both sides of the equation by 7:

    s = 238 / 7

    s = 34.1 meters

    Therefore, the length of each side of the regular heptagon is 34.1 meters.

Expected answer: 34

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found by dividing the total perimeter by the number of sides. In this case, the total perimeter is 42m and the number of sides is 6, so the length of each side is:

    42m / 6 = 7m

    Therefore, the length of each side of the regular hexagon is 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?

CodeLlama 7B:

      The length of each side of a regular octagon can be found by dividing the perimeter by the number of sides.

    Perimeter = 624m
    Number of sides = 8

    Length of each side = Perimeter / Number of sides
    Length of each side = 624 / 8
    Length of each side = 80m

    Therefore, the length of each side of a regular octagon is 80m.

Expected answer: 78

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the polygon. We can do this by adding up the lengths of all the sides:

    17 + 13 + 61 + 16 + 11 + 83 + 28 + 48 + 93 = 468

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

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

    where x is the length of the tenth side.

    Now, we can solve for x by subtracting the sum of the first eight sides from both sides of the equation:

    x = 468 - (17 + 13 + 61 + 16 + 11 + 83 + 28 + 48)

    x = 468 - 200

    x = 268

    Therefore, the length of the tenth side is 268 meters.

Expected answer: 98

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular pentagon can be found using the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the number of sides is 5, so we can plug that value into the formula:

    380 = 5 \* s

    To solve for s, we can divide both sides of the equation by 5:

    s = 380 / 5

    s = 76

    Therefore, the length of each side of the regular pentagon is 76 meters.

Expected answer: 76

Correct? Yes

🔗 Problem

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

CodeLlama 7B:

      The length of one side of a regular octagon is equal to half the perimeter of the octagon.

    Perimeter = 104

    Side length = 104 / 8 = 13.5 cm

    Therefore, the length of one side of a regular octagon with a perimeter of 104cm is 13.5 cm.

Expected answer: 13

Correct? No

🔗 Problem

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

CodeLlama 7B:

      To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter of the heptagon is 637 meters, and the number of sides is 7. So, we can set up the equation:

    637 = 7 \* s

    To solve for s, we can divide both sides of the equation by 7:

    s = 637 / 7

    s = 91.1 meters

    Therefore, the length of each side of the regular heptagon is 91.1 meters.

Expected answer: 91

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular pentagon can be found using the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter of the pentagon is 35m, so we can set up the equation:

    35 = n \* s

    We know that the pentagon is regular, so all sides are equal. Let's call the length of each side "s". Then we can rewrite the equation as:

    35 = 5 \* s

    Solving for s, we get:

    s = 35/5 = 7m

    So the length of each side of the regular pentagon is 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?

CodeLlama 7B:

      The perimeter of a pentagon is equal to the sum of the lengths of all its sides.

    Perimeter = a + b + c + d + e

    where a, b, c, d, and e are the lengths of the five sides of the pentagon.

    In this case, we are given that the perimeter is 223cm, and the lengths of the first four sides are 45cm, 93cm, 36cm, and 22cm, respectively.

    So, we can write the equation:

    223 = 45 + 93 + 36 + 22 + e

    Simplifying the equation, we get:

    164 = 165 + e

    Subtracting 165 from both sides gives us:

    -1 = e

    Therefore, the length of the fifth side is -1cm.

Expected answer: 27

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the polygon:

    P = a + b + c + d + e + f = 423

    where a, b, c, d, e, and f are the lengths of the sides of the polygon.

    We know that the perimeter of the polygon is 423cm, so we can set up the equation:

    a + b + c + d + e + f = 423

    We also know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e + f = 75 + 81 + 22 + 94 + 91 + 10 = 423

    So, we can set up the equation:

    a + b + c + d + e + f = 423

    We can solve for the length of the last unknown side by using the fact that the sum of the lengths of the sides is equal to the perimeter:

    f = 423 - (a + b + c + d + e)

    We know that the perimeter of the polygon is 423cm, so we can set up the equation:

    f = 423 - (75 + 81 + 22 + 94 + 91)

    f = 423 - 302

    f = 121cm

    Therefore, the length of the last unknown side is 121cm.

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?

CodeLlama 7B:

      The length of each side of a regular decagon is given by the formula:

    side length = perimeter / (number of sides - 2)

    In this case, the perimeter of the decagon is 600m and it has 10 sides, so we can plug these values into the formula to get:

    side length = 600 / (10 - 2)
    side length = 600 / 8
    side length = 75m

    Therefore, the length of each side of the regular decagon is 75m.

Expected answer: 60

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular octagon is equal to the sum of the lengths of all its sides. Since the perimeter is given as 632m, we can set up the equation:

    Perimeter = 2(s + s/2 + s/4 + s/8 + ... + s/2^7)

    where s is the length of one side of the octagon.

    We can simplify the equation by noticing that the sum of the first 7 terms is equal to 2^7, which is equal to 128. Therefore, we can write:

    Perimeter = 2(s + s/2 + s/4 + s/8 + ... + s/2^7) = 2(s + s/2 + s/4 + s/8 + ... + 128)

    Simplifying further, we get:

    Perimeter = 2(s + 64) = 128s + 128

    Solving for s, we get:

    s = (128Perimeter - 128)/128

    Substituting the given value of Perimeter, we get:

    s = (128(632) - 128)/128 = 8m

    Therefore, the length of each side of the regular octagon is 8m.

Expected answer: 79

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular septagon can be found by dividing the total perimeter by the number of sides.

    Perimeter = 161m
    Number of sides = 7

    Length of each side = Perimeter / Number of sides
    = 161m / 7
    = 23.14m

    Therefore, the length of each side of a regular septagon is 23.14m.

Expected answer: 23

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found by dividing the perimeter by the number of sides. In this case, the perimeter is 96m and the number of sides is 6, so the length of each side is:

    96m / 6 = 16m

    Therefore, the length of each side of the regular hexagon is 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.

CodeLlama 7B:

      Let's start by finding the perimeter of the nonagon.

    The perimeter of a nonagon is given by the sum of the lengths of all its sides. Since we know the length of all the sides except one, we can use the formula for the perimeter of a polygon to find the length of the missing side:

    Perimeter = a + b + c + d + e + f + g + h + i

    where a, b, c, d, e, f, g, h, and i are the lengths of the sides of the nonagon, and i is the length of the missing side.

    We are given that the total perimeter of the nonagon is 402m. So, we can set up the equation:

    a + b + c + d + e + f + g + h + i = 402

    We also know that the length of the sides are:

    a = 50m
    b = 31m
    c = 24m
    d = 28m
    e = 13m
    f = 97m
    g = 63m
    h = 88m

    We can substitute these values into the equation above:

    50 + 31 + 24 + 28 + 13 + 97 + 63 + 88 + i = 402

    Now, we can solve for i:

    i = 402 - 50 - 31 - 24 - 28 - 13 - 97 - 63 - 88

    i = 402 - 250 - 98 - 72 - 41 - 34 - 60 - 42 - 28

    i = 12

    So, the length of the ninth side of the nonagon is 12m.

Expected answer: 8

Correct? No

🔗 Problem

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

CodeLlama 7B:

      To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter of the heptagon is 385m, and the number of sides is 7. So, we can set up the equation:

    385 = 7 \* s

    Solving for s, we get:

    s = 385 / 7

    s = 56.85

    So, the length of each side of the regular heptagon is 56.85m.

Expected answer: 55

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a polygon:

    Perimeter = a + b + c + d + e

    where a, b, c, d, and e are the lengths of the five sides of the polygon.

    We know that the total perimeter is 358 meters, so we can set up the equation:

    a + b + c + d + e = 358

    We also know that the lengths of the five sides are:

    a = 89 meters
    b = 2 meters
    c = 10 meters
    d = 48 meters
    e = 94 meters

    We can substitute these values into the equation for the perimeter:

    89 + 2 + 10 + 48 + 94 = 358

    Solving for the length of the remaining side, we get:

    a + b + c + d + e = 358

    Substituting the values we know, we get:

    89 + 2 + 10 + 48 + 94 = 358

    Solving for the length of the remaining side, we get:

    161 = 358

    The length of the remaining side is 161 meters.

Expected answer: 56

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of an octagon is equal, so let's call it "s".

    The total perimeter of an octagon is 8 times the length of each side, so the perimeter of the octagon is 8s.

    We know that the perimeter of the octagon is 496 meters, so we can set up the equation:

    8s = 496

    To solve for s, we can divide both sides of the equation by 8:

    s = 496/8

    s = 64

    So, the length of each side of the octagon is 64 meters.

Expected answer: 62

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular octagon can be found by dividing the perimeter by the number of sides.

    Perimeter = 800m
    Number of sides = 8

    Length of each side = Perimeter / Number of sides
    Length of each side = 800m / 8
    Length of each side = 100m

    Therefore, the length of each side of a regular octagon with a perimeter of 800m is 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?

CodeLlama 7B:

      The perimeter of a nonagon is equal to the sum of the lengths of all its sides. Since the perimeter is given as 702 m, we can set up the equation:

    a + a + a + a + a + a + a + a + a = 702

    where a is the length of one side.

    Now, we can simplify the equation by recognizing that each side is equal to the length of one side, so we can write:

    8a = 702

    Dividing both sides by 8 gives us:

    a = 91

    Therefore, the length of one side of the nonagon is 91 m.

Expected answer: 78

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular nonagon is equal to the sum of the lengths of all its sides. Since the perimeter is given as 855cm, we can set up the equation:

    a + a + a + a + a + a + a + a + a = 855

    where a is the length of one side.

    Now, we can simplify the equation by recognizing that each side is equal to the length of the other sides, so we can write:

    a + a + a + a + a + a + a + a + a = 8a

    Simplifying further, we get:

    8a = 855

    a = 112

    Therefore, the length of one side of the regular nonagon is 112cm.

Expected answer: 95

Correct? No

🔗 Problem

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

CodeLlama 7B:

      To find the length of the side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of one side.

    In this case, the perimeter of the heptagon is 504 meters, and we are given that it is a regular heptagon, so we know that n = 7.

    Plugging this information into the formula, we get:

    Perimeter = 7 \* s

    We are also given that the perimeter is 504 meters, so we can set up an equation:

    7s = 504

    Solving for s, we get:

    s = 504 / 7

    s = 71.4 meters

    Therefore, the length of the side of the regular heptagon is 71.4 meters.

Expected answer: 72

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular nonagon is equal to the sum of the lengths of all its sides. Since the perimeter is given as 657m, we can set up the equation:

    657 = a + a + a + a + a + a + a + a + a

    where a is the length of each side.

    Now, we can simplify the equation by recognizing that each side is equal to the length of the other sides, so we can write:

    657 = 9a

    Solving for a, we get:

    a = 70m

    Therefore, the length of each side of the regular nonagon is 70m.

Expected answer: 73

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular octagon can be found by dividing the total perimeter by the number of sides. In this case, the total perimeter is 48 cm and the number of sides is 8, so the length of each side is:

    48 cm / 8 = 6 cm

    Therefore, the length of each side of the regular octagon is 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the polygon:

    Perimeter = 28 + 37 + 51 + 84 + 54 + 31 + 94 + 12 = 399

    Now, let's find the length of the remaining unknown side by subtracting the sum of the lengths of the known sides from the total perimeter:

    Remaining side length = 399 - (28 + 37 + 51 + 84 + 54 + 31 + 94 + 12)
    = 399 - 394
    = 5

    Therefore, the length of the remaining unknown side is 5m.

Expected answer: 8

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular nonagon is equal to 342, and the length of one side is equal to the perimeter divided by the number of sides, which is 342/9 = 40.67m.

Expected answer: 38

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a polygon: P = n x s, where n is the number of sides, and s is the length of each side.

    In this case, we know that the total perimeter of the polygon is 330 m, and we have 8 sides. So, we can set up the equation:

    P = 8 x s

    We also know that the sum of the lengths of the 7 sides is equal to the perimeter minus the length of the 8th side:

    7m + 59m + 49m + 38m + 53m + 21m + 34m = 330m - s

    We can simplify this equation by combining the like terms:

    7m + 59m + 49m + 38m + 53m + 21m + 34m = 330m - s

    7m + 59m + 49m + 38m + 53m + 21m = 330m - s

    7m + 59m + 49m + 38m + 53m = 330m - s - 21m

    7m + 59m + 49m + 38m + 53m = 310m

    Now we have 2 equations and 7 variables (m1, m2, m3, m4, m5, m6, m7). We can solve for m8 by substituting the values of the other variables into the equation:

    m8 = 310m - (7m + 59m + 49m + 38m + 53m)

    m8 = 310m - (7m + 59m + 49m + 38m + 53m)

    m8 = 310m - (7m + 158m)

    m8 = 310m - 235m

    m8 = -105m

    So, the length of the 8th side of the polygon is -105m.

Expected answer: 69

Correct? No

🔗 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?

CodeLlama 7B:

      To find the length of the tenth side of the decagon, we need to find the missing side length. We can do this by using the fact that the sum of the perimeter of a regular polygon is equal to the sum of the lengths of its sides.

    The perimeter of a decagon is given as 682m. The sum of the lengths of the sides is given as 88+96+74+52+45+74+85+85+43 = 560m.

    So, we can set up the equation:

    682 = 560 + x

    where x is the length of the tenth side.

    Solving for x, we get:

    x = 282

    Therefore, the length of the tenth side of the decagon is 282m.

Expected answer: 40

Correct? No

🔗 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?

CodeLlama 7B:

      The perimeter of a regular polygon is equal to the sum of the lengths of all its sides. Since the perimeter of the regular septagon is 161m, we can set up the equation:

    7s = 161

    where s is the length of each side.

    To solve for s, we can divide both sides of the equation by 7:

    s = 161/7

    s = 22.142857142857143

    So, the length of each side of the regular septagon is approximately 22.142857142857143 meters.

Expected answer: 23

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found by dividing the perimeter by the number of sides. In this case, the perimeter is 324m and the number of sides is 6, so the length of each side is:

    324m / 6 = 54m

    Therefore, the length of each side of the regular hexagon is 54m.

Expected answer: 54

Correct? Yes

🔗 Problem

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

CodeLlama 7B:

      The length of one side of a regular pentagon can be found by using the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of one side.

    In this case, the number of sides is 5, and the perimeter is 385 meters. So we can set up the equation:

    385 = 5 \* s

    Solving for s, we get:

    s = 385 / 5

    s = 77 meters

    Therefore, the length of one side of a regular pentagon with a perimeter of 385 meters is 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?

CodeLlama 7B:

      The length of each side of a regular septagon can be found by dividing the perimeter of the polygon 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

    Therefore, the length of each side of a regular septagon is 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?

CodeLlama 7B:

      The length of one side of a regular pentagon is equal to half the perimeter of the pentagon.

    Perimeter = 25 cm

    Side length = 25 cm / 5 = 5 cm

    Therefore, the length of one side of a regular pentagon with a perimeter of 25 cm is 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.

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a regular hexagon: P = 6s, where s is the length of one side.

    We know that the perimeter of the hexagon is 380m, so we can set up the equation:

    6s = 380

    Now, we can use the fact that the sum of the lengths of the sides of a regular hexagon is equal to the perimeter:

    s1 + s2 + s3 + s4 + s5 + s6 = 380

    where s1, s2, s3, s4, and s5 are the lengths of the five sides that we know, and s6 is the length of the sixth side that we want to find.

    We can substitute the values we know for the first five sides into the equation:

    9 + 49 + 100 + 73 + 84 + s6 = 380

    Now, we can solve for s6:

    s6 = 380 - 9 - 49 - 100 - 73 - 84

    s6 = 380 - 262

    s6 = 118

    So, the length of the sixth side of the regular hexagon is 118m.

Expected answer: 65

Correct? No

🔗 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?

CodeLlama 7B:

      To find the length of the missing side, we need to use the formula for the perimeter of an irregular polygon, which is:

    Perimeter = ∑ (n-2) times each side length

    In this case, the number of sides is 7, so we can plug that in:

    Perimeter = (7-2) times each side length
    Perimeter = 5 times each side length

    Next, we need to find the length of each side:

    Side 1 = 23m
    Side 2 = 67m
    Side 3 = 57m
    Side 4 = 94m
    Side 5 = 93m
    Side 6 = 18m
    Side 7 = ?

    We know that the total perimeter is 419m, so we can set up the equation:

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

    Solving for the missing side length, we get:

    ? = 419m - 23m - 67m - 57m - 94m - 93m - 18m

    ? = 150m

    Therefore, the length of the missing side is 150m.

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?

CodeLlama 7B:

      To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter of the heptagon is 287m, so we can set up the equation:

    287 = 7 \* s

    where 7 is the number of sides of the heptagon.

    Now, we can solve for s:

    s = 287 / 7

    s = 41.42m

    So, the length of each side of the regular heptagon is 41.42m.

Expected answer: 41

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular pentagon can be found by dividing the perimeter of the pentagon by the number of sides. In this case, the perimeter of the pentagon is 55m and the number of sides is 5, so the length of each side is:

    55m / 5 = 11m

    Therefore, the length of each side of the regular pentagon is 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?

CodeLlama 7B:

      To find the length of each side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the number of sides is 9, and the perimeter is 657 meters. So we can plug these values into the formula to solve for the length of each side:

    657 = 9 \* s

    s = 657 / 9

    s = 75.6 meters

    Therefore, each side of the regular nonagon is 75.6 meters long.

Expected answer: 73

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular hexagon can be found using the formula for the perimeter of a regular polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, the perimeter is 78m and the number of sides is 6, so we can set up the equation:

    78 = 6 \* s

    Solving for s, we get:

    s = 78/6 = 13.5m

    So the length of each side of the regular hexagon is 13.5m.

Expected answer: 13

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of one side of a regular octagon is equal to the perimeter of the octagon divided by the number of sides.

    Perimeter = 600 meters
    Number of sides = 8

    Therefore, the length of one side is:

    Length of one side = 600 meters / 8 = 75 meters

    So, the length of one side of a regular octagon is 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?

CodeLlama 7B:

      To find the length of the last side, we can use the formula for the perimeter of a polygon, which is:

    Perimeter = n \* s

    where n is the number of sides and s is the length of each side.

    In this case, we know that the overall perimeter of the polygon is 356m, and we can use this information to find the number of sides. We can do this by dividing the perimeter by the length of each side:

    356m / 39m = 9.3

    This tells us that the polygon has 9.3 sides.

    Now we can use the formula for the perimeter of a polygon to find the length of the last side:

    Perimeter = n \* s

    Substituting the values we know, we get:

    9.3 \* 34m = 323.4m

    So the length of the last side is 34m.

Expected answer: 75

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular decagon is equal to the sum of the lengths of all its sides. Since the perimeter of the decagon is 930 cm, we can set up the equation:

    930 = 10 + 10 + 10 + ... + 10

    where the dots represent 80 equal sides.

    Solving for the length of each side, we get:

    10 + 10 + 10 + ... + 10 = 930

    This equation can be simplified by recognizing that the sum of 80 equal terms is equal to the number of terms times the average of the terms. In this case, the average of the terms is 10, so we can write:

    10 + 10 + 10 + ... + 10 = 80 x 10

    Simplifying further, we get:

    10 + 10 + 10 + ... + 10 = 800

    Therefore, the length of each side of the regular decagon is 10 cm.

Expected answer: 93

Correct? No

🔗 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?

CodeLlama 7B:

      Yes, I can find the length of one of the unknown sides.

    Let's start by finding the perimeter of the known sides:

    24m + 25m + 75m + 38m + 18m + 42m + 61m = 359m

    Now, let's use the formula for the perimeter of a decagon:

    P = 10(s1 + s2 + ... + sn)

    where s1, s2, ..., sn are the lengths of the sides.

    We know that the perimeter is 359m, so we can set up the equation:

    10(s1 + s2 + ... + sn) = 359

    Now, we can solve for one of the unknown sides by using the fact that the sum of the lengths of the sides is equal to half the perimeter:

    s1 + s2 + ... + sn = 1/2 \* 359

    We can simplify this equation by using the fact that the sum of the lengths of the sides is equal to the perimeter minus the length of the last side:

    s1 + s2 + ... + sn = 359 - 61

    Now, we can solve for one of the unknown sides by substituting the value of the sum of the lengths of the sides into the equation:

    s1 + s2 + ... + sn = 359 - 61

    s1 + s2 + ... + sn = 308

    Now, we can solve for one of the unknown sides by dividing both sides of the equation by the number of sides:

    s1 + s2 + ... + sn = 308 / 8

    s1 + s2 + ... + sn = 38.75

    Now, we can find the length of one of the unknown sides by subtracting the sum of the known sides from the sum of the unknown sides:

    s1 = 38.75 - 24 - 25 - 75 - 38 - 18 - 42 - 61

    s1 = 38.75 - 240

    s1 = -201.25

    So, the length of one of the unknown sides is -201.25m.

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?

CodeLlama 7B:

      The length of the final side of a nonagon can be found by using the formula for the perimeter of a nonagon, which is:

    P = n(a1 + a2 + ... + an)

    where n is the number of sides, and ai is the length of the ith side.

    In this case, the perimeter of the nonagon is given as 368m, and the number of sides is 9.

    So, we can set up the equation:

    368 = 9(a1 + a2 + ... + an)

    We know that the sum of the side lengths is equal to the perimeter, so we can write:

    a1 + a2 + ... + an = 368

    We also know that the length of the final side is 2m.

    So, we can write:

    a1 + a2 + ... + an - 2m = 368

    We can simplify this equation by subtracting 2m from both sides:

    a1 + a2 + ... + an = 368 + 2m

    Now, we can solve for the length of the final side by dividing both sides by 9:

    a1 + a2 + ... + an = 368 + 2m

    a1 + a2 + ... + an = 368 + 2(52)

    a1 + a2 + ... + an = 368 + 104

    a1 + a2 + ... + an = 472

    Now, we can find the length of the final side by subtracting the sum of the other side lengths from the total perimeter:

    2m = 472 - (52 + 52 + 44 + 53 + 41 + 91 + 25 + 2)

    2m = 472 - 300

    2m = 172

    So, the length of the final side is 172m.

Expected answer: 8

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of one side of a regular octagon is given by the formula:

    side length = perimeter / (number of sides)

    In this case, the perimeter is 592 cm and the number of sides is 8, so we can plug these values into the formula to get:

    side length = 592 / 8
    side length = 72

    Therefore, the length of one side of a regular octagon with a perimeter of 592 cm is 72 cm.

Expected answer: 74

Correct? No

🔗 Problem

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

CodeLlama 7B:

      The length of each side of a regular heptagon can be found by dividing 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

    Therefore, the length of each side of a regular heptagon is 35m.

Expected answer: 35

Correct? Yes

🔗 Problem

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

CodeLlama 7B:

      The perimeter of a regular decagon is equal to the sum of the lengths of all its sides. Since the perimeter is 140m, we can set up the equation:

    140 = 2a + 3a + 4a + 5a + 6a + 7a + 8a + 9a + 10a

    Simplifying the equation, we get:

    140 = 20a

    Now, we can solve for a:

    a = 140/20 = 7

    So, the length of each side of the regular decagon is 7m.

Expected answer: 14

Correct? No

🔗 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?

CodeLlama 7B:

      To find the length of the 11th side of the polygon, we need to use the formula for the perimeter of a polygon, which is:

    Perimeter = n \* s

    where n is the number of sides of the polygon and s is the length of each side.

    In this case, we are given that the total perimeter of the polygon is 655cm, and we know that the length of each side is between 44cm and 39cm.

    We can start by using the formula to find the number of sides of the polygon:

    Perimeter = n \* s
    655 = n \* (44+5+96+78+49+84+72+74+21+39)

    We can simplify this equation by combining like terms:

    655 = n \* (44+5+96+78+49+84+72+74+21+39)
    655 = n \* 300

    Now we can solve for n:

    n = 655 / 300
    n = 2

    So the polygon has 21 sides.

    We can now use the formula to find the length of the 11th side:

    Side 11 = s

    We know that the length of each side is between 44cm and 39cm, so we can find the length of the 11th side by using the formula:

    Side 11 = (44+5+96+78+49+84+72+74+21+39) / 2
    Side 11 = 300 / 2
    Side 11 = 150cm

    Therefore, the length of the 11th side of the polygon is 150cm.

Expected answer: 93

Correct? No

🔗 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?

CodeLlama 7B:

      Let's start by finding the perimeter of the polygon:

    P = a + b + c + d + e

    where a, b, c, d, and e are the lengths of the sides of the polygon.

    We know that the perimeter of the polygon is 265m, so we can set up the equation:

    265 = a + b + c + d + e

    We also know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e = 265

    We can use this equation to eliminate one of the variables. Let's choose to eliminate e. We can do this by subtracting e from both sides of the equation:

    265 - e = a + b + c + d

    Now we have two equations and five variables. We can solve for e by substituting the first equation into the second equation:

    265 - e = a + b + c + d
    265 = a + b + c + d + e

    Now we can solve for e by subtracting the two equations:

    e = 265 - a - b - c - d

    Now we have the value of e, and we can find the length of the remaining side by substituting the value of e into the equation for the perimeter:

    a + b + c + d + e = 265

    a + b + c + d + (265 - a - b - c - d) = 265

    a + b + c + d + 265 - a - b - c - d = 265

    a + b + c + d = 265

    Now we can find the length of the remaining side by subtracting the sum of the lengths of the other sides from the total perimeter:

    a + b + c + d - (69 + 81 + 34 + 35 + 38) = 265

    a + b + c + d - 265 = -174

    a + b + c + d = 174

    So the length of the remaining side is 174m.

Expected answer: 8

Correct? No

🔗 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.

CodeLlama 7B:

      Let's start by using the formula for the perimeter of a pentagon: P = a + b + c + d + e, where a, b, c, d, and e are the lengths of the sides.

    We know that the perimeter of the pentagon is 234m, so we can set up the equation:

    a + b + c + d + e = 234

    We also know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e = 234

    We can use this information to eliminate one of the variables. Let's say we eliminate the variable a. We can do this by subtracting a from both sides of the equation:

    b + c + d + e = 234 - a

    Now we have two equations and five variables. We can use substitution or elimination to solve for the length of the fifth side.

    Let's use substitution. We can substitute the value of a into the equation:

    b + c + d + e = 234 - 22

    Now we have two equations and four variables. We can solve for the length of the fifth side by using the formula for the perimeter of a pentagon:

    P = a + b + c + d + e

    We know that the perimeter is 234m, so we can set up the equation:

    a + b + c + d + e = 234

    We can solve for the length of the fifth side by using the formula for the perimeter of a pentagon:

    a + b + c + d + e = 234

    We know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e = 234

    We can use this information to eliminate one of the variables. Let's say we eliminate the variable a. We can do this by subtracting a from both sides of the equation:

    b + c + d + e = 234 - a

    Now we have two equations and four variables. We can solve for the length of the fifth side by using the formula for the perimeter of a pentagon:

    P = a + b + c + d + e

    We know that the perimeter is 234m, so we can set up the equation:

    a + b + c + d + e = 234

    We can solve for the length of the fifth side by using the formula for the perimeter of a pentagon:

    a + b + c + d + e = 234

    We know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e = 234

    We can use this information to eliminate one of the variables. Let's say we eliminate the variable a. We can do this by subtracting a from both sides of the equation:

    b + c + d + e = 234 - a

    Now we have two equations and four variables. We can solve for the length of the fifth side by using the formula for the perimeter of a pentagon:

    P = a + b + c + d + e

    We know that the perimeter is 234m, so we can set up the equation:

    a + b + c + d + e = 234

    We can solve for the length of the fifth side by using the formula for the perimeter of a pentagon:

    a + b + c + d + e = 234

    We know that the sum of the lengths of the sides is equal to the perimeter:

    a + b + c + d + e = 234

    We can use this information to eliminate one of the variables. Let's say we eliminate the variable a. We can do this by subtracting a from both sides of the equation:

    b + c + d + e = 234 - a

    Now we have two equations and four variables. We can solve for the length of the fifth side by using the formula for the perimeter of a pentagon:

    P = a + b + c + d + e

    We know that the perimeter is 234m, so we can set up the equation:

    a + b + c + d + e = 234

    We can solve for the length of the fifth side

Expected answer: 30

Correct? No