🔗 Problem

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

Gemma 2B:

    Reasoning: We know that the total sum of the measurements is 368 miles. We can subtract the measurements that we know from the total to find the remaining measurement.

    368 - 41 - 28 - 90 - 32 - 10 - 98 = ?

    First, let's subtract the measurements:

    368 - 41 = 327
    327 - 28 = 299
    299 - 90 = 209
    209 - 32 = 177
    177 - 10 = 167
    167 - 98 = 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?

Gemma 2B:

    Reasoning: The total perimeter of the pentagon is the sum of the lengths of all its sides. We know the total perimeter is 300cm, and we have four sides with lengths 70cm, 36cm, 53cm, and 45cm. We can set up an equation to find the length of the fifth side:

    70 + 36 + 53 + 45 + x = 300

    where x is the length of the fifth side.

    Simplifying the equation, we get:

    204 + x = 300

    Subtracting 204 from both sides gives:

    x = 96

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 14 + 94 + 3 + 20 + 57 + 83 + 96 + 85 = 452.
    The perimeter of the nonagon is 521, so the length of the ninth side is 521 - 452 = 69.
    ### Answer: 69

Expected answer: 69

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's first find the sum of the lengths of the given sides:
    54 + 51 + 5 + 22 + 93 = 225
    Since the total perimeter is 274cm, the length of the sixth side is:
    274 - 225 = 49
    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

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

Gemma 2B:

    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, so we can set up the equation:

    5s = 310

    To find the length of each side, we can divide both sides 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?

Gemma 2B:

    Reasoning: The total perimeter of the shape is the sum of all the side lengths. Let's add up the given side lengths: 78 + 93 + 21 + 4 + x = 315, where x is the length of the last side.
    We can simplify the equation by combining like terms: 196 + x = 315.
    Subtract 196 from both sides to isolate x: x = 119.
    ### Answer: 119

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?

Gemma 2B:

    Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Since the octagon has 8 sides, we can set up the equation:

    Perimeter = 8 × side length
    160 = 8 × side length

    To find the length of each side, 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?

Gemma 2B:

    Reasoning: Let's add up the lengths of the seven given sides to find the total length of the octagon's perimeter without the unknown side:

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

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

    198 + unknown side = 224

    To find the length of the unknown side, we can subtract 198 from both sides of the equation:

    unknown side = 224 - 198
    unknown side = 26

    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since the hexagon is regular, all sides are equal. Let's call the length of one side "x". The perimeter of the hexagon is the sum of all its sides, which is 6x. We are given that the perimeter is 174 meters, so we can set up the equation:

    6x = 174

    To solve for x, we can divide both sides by 6:

    x = 174/6
    x = 29

    So, the length of one side is 29 meters.

    ### 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?

Gemma 2B:

    Reasoning: We are given the total perimeter of the dodecagon, which is 538cm. We are also given the lengths of 10 of the sides. To find the length of the 11th side, we need to subtract the sum of the lengths of the 10 given sides from the total perimeter.

    The sum of the lengths of the 10 given sides is:

    65 + 22 + 32 + 31 + 78 + 88 + 7 + 29 + 36 + 54 = 482

    Now, we subtract this sum from the total perimeter:

    538 - 482 = 56

    So, the length of the 11th side is 56cm.

    ### Answer: 56

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?

Gemma 2B:

    Reasoning: Let the length of the last side be x. The sum of the lengths of all sides is 357 cm. So, we can set up the equation:

    61 + 84 + 80 + 11 + 71 + x = 357

    Combine like terms:

    307 + x = 357

    Subtract 307 from both sides:

    x = 50

    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since it's a regular octagon, 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:

    8x = 544

    To find the length of one side, we can divide both sides 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.

Gemma 2B:

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

    We know 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 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?

Gemma 2B:

    Reasoning: Let's denote the side length of the heptagon as x. Since it's a regular heptagon, all its sides have the same length, which is x.

    The total perimeter of the heptagon is the sum of the lengths of all its sides, which is 7x. We know that the total perimeter is 203m, so we can set up the equation:

    7x = 203

    To find the value of x, we can divide both sides of the equation by 7:

    x = 203 ÷ 7
    x = 29

    So, each side of the heptagon has a length of 29m.

    ### Answer: 29m

Expected answer: 29

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's call the length of each side "x". Since it's a heptagon, we can use the formula for the perimeter of a polygon: Perimeter = Number of sides * Side length.
    We know the perimeter is 49 meters, and the number of sides is 7. So, we can set up the equation: 7x = 49.
    To solve for x, we can divide both sides by 7: x = 49/7.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a regular polygon is the sum of the lengths of all its sides. Since the polygon is regular, all sides are equal. Let's call the length of each side "s". Then, the perimeter is 7s, since there are 7 sides.

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

    7s = 329

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

    s = 329/7
    s = 47

    So, the length of each side is 47m.

    ### Answer: 47m.

Expected answer: 47

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The total perimeter of the heptagon is the sum of the lengths of all its sides. We know the total perimeter is 486m, and we have the lengths of 5 sides: 86m, 80m, 47m, 93m, and 99m. To find the length of the sixth side, we subtract the sum of the lengths of the known sides from the total perimeter.

    Let x be the length of the sixth side. Then, the sum of the lengths of all sides is:

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

    Combine like terms:

    405m + x = 486m

    Subtract 405m from both sides:

    x = 486m - 405m

    x = 81m

    ### Answer: 81m

Expected answer: 81

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a regular heptagon, all sides are equal. The perimeter is the sum of all sides, so we can set up the equation:

    7x = 546

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

    x = 546 / 7
    x = 78

    So, the length of each side is 78m.

    ### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of the nonagon is the sum of the lengths of all its sides. We know the perimeter is 532cm, and we have the lengths of 8 of the sides. We can add up the lengths of these 8 sides to find the total length of the sides we know:

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

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

    532 - 457 = 75

    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since all sides of the decagon are equal in length, we can find the length of the unknown side by subtracting the sum of the known sides from the perimeter.

    Let the length of the unknown side be x.

    The sum of the known sides is:
    62 + 76 + 98 + 74 + 54 + 4 + 24 + 48 = 440

    The perimeter is 452, so we can set up the equation:
    440 + x = 452

    Subtracting 440 from both sides gives:
    x = 452 - 440
    x = 12

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    6x = 78

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

    x = 78/6
    x = 13

    So, the length of each side is 13m.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since it's a nonagon, it has 9 sides. The perimeter is the sum of all the sides, so we can set up the equation:

    9s = 171

    where s is the length of each side.

    To solve for s, we can divide both sides by 9:

    s = 171/9
    s = 19

    So, the length of each side is 19m.

    ### Answer: 19

Expected answer: 19

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the given side lengths to find the total perimeter without the unknown side:
    8 + 17 + 30 + 17 + 86 + 55 + 68 = 281
    The total perimeter is 318 cm, so we need to find the unknown side length that will make the total perimeter equal to 318:
    281 + unknown side = 318
    Subtract 281 from both sides:
    unknown side = 318 - 281
    unknown side = 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?

Gemma 2B:

    Reasoning: Let's denote the length of each side as s. Since it's a regular polygon, all sides are equal. 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 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?

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a decagon, it has 10 sides. The perimeter is the sum of all the sides, so we can set up the equation:

    10x = 360

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

    x = 360/10
    x = 36

    So, the length of each side is 36m.

    ### Answer: 36m

Expected answer: 36

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since it's a regular hexagon, all sides are equal. Let's call the length of each side "s". The perimeter of a hexagon is the sum of the lengths of all its sides, which is 6s. We know the perimeter is 522m, 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.

Gemma 2B:

    Reasoning: Since the polygon has 11 sides, we can use the formula for the perimeter of a regular polygon, which is:

    Perimeter = Number of sides × Side length

    We are given that the perimeter is 418m, and the number of sides is 11. We can set up an equation:

    11 × Side length = 418

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

    Side length = 418 ÷ 11
    Side length = 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?

Gemma 2B:

    Reasoning: The total perimeter of the polygon is the sum of the lengths of all its sides. We know the total perimeter is 278m, and we have the lengths of five sides: 56m, 73m, 39m, 24m, and 26m. We can set up an equation to represent the total perimeter:

    56 + 73 + 39 + 24 + 26 + x = 278

    where x is the length of the sixth side.

    Simplifying the equation, we get:

    178 + x = 278

    Subtracting 178 from both sides gives:

    x = 100

    ### Answer: 100m

Expected answer: 60

Correct? No

🔗 Problem

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

Gemma 2B:

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

    5s = 385

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

    s = 385/5
    s = 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?

Gemma 2B:

    Reasoning: Let's add up the lengths of the known sides to find the total length of the perimeter that we know:

    97m + 93m + 35m + 1m + 27m + 86m + 68m + 96m + 45m + 61m = 599m

    Since the total perimeter is 663m, the unknown side must add up to:

    663m - 599m = 64m

    So, the length of the unknown eleventh side is 64m.

    ### Answer: 64m

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?

Gemma 2B:

    Reasoning: Let's add up the lengths of the known sides to find the total length of the sides that we know: 54 + 49 + 85 + 48 + 85 + 19 + 94 + 44 + 54 = 478m.
    Since the total perimeter is 575m, the unknown side must be 575 - 478 = 97m.
    ### Answer: 97

Expected answer: 43

Correct? No

🔗 Problem

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

Gemma 2B:

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

    8s = 248

    To find the length of each side, we can divide both sides 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?

Gemma 2B:

    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, so we can set up the equation:

    5s = 390

    To find the length of each side, we can divide both sides 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.

Gemma 2B:

    Reasoning: The total perimeter of a decagon is the sum of the lengths of all its sides. Since we are given the lengths of 9 sides, we can set up an equation:

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

    Combine like terms:

    421 + 522 = 943

    Subtract 943 from both sides:

    0 = 522 - 943

    This equation is not true, so we know that the total perimeter is not 522m. This means that the length of the tenth side is not given.

    However, we can find the length of the tenth side by subtracting the sum of the given side lengths from the total perimeter:

    522 - (6 + 85 + 83 + 73 + 25 + 66 + 54 + 87 + 21) = 522 - 421 = 101

    ### Answer: 101m

Expected answer: 22

Correct? No

🔗 Problem

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

Gemma 2B:

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

    8x = 408

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

    x = 408 ÷ 8
    x = 51

    So, the length of each side is 51m.

    ### Answer: 51

Expected answer: 51

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since the octagon has an equal length of sides, we can represent the length of each side as 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 696m, so we can set up the equation:

    8x = 696

    To solve for x, we can divide both sides by 8:

    x = 696 ÷ 8
    x = 87

    So, the length of each side is 87m.

    ### Answer: 87m

Expected answer: 87

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since the octagon has a perimeter of 744m, we can set up the equation:

    8s = 744

    where s is the length of each side.

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

    s = 744/8
    s = 93

    So, the length of each side is 93m.

    ### Answer: 93

Expected answer: 93

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's denote the length of one side as x. Since it's a nonagon, it has 9 sides. The perimeter is the sum of all the sides, which is 270m. We can set up an equation:

    9x = 270

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

    x = 270/9

    x = 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?

Gemma 2B:

    Reasoning: Let's add up the lengths of the known sides to find the total perimeter without the unknown side. 30 + 18 + 68 + 23 + 72 + 57 + 33 + 19 = 320.
    The total perimeter is 350, so the unknown side must be 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?

Gemma 2B:

    Reasoning: Let's add up the lengths of the known sides: 19 + 7 + 10 + 16 + 32 + 15 + 70 = 169m.
    The total perimeter is 188m, so the length of the ninth side is 188 - 169 = 19m.
    ### Answer: 19m

Expected answer: 19

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    6x = 90

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

    x = 90/6
    x = 15

    So, the length of each side is 15m.

    ### Answer: 15m

Expected answer: 15

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's call the length of each side "x". Since it's a heptagon, we can use the formula for the perimeter of a polygon: Perimeter = Number of sides * Side length.
    287 = 7 * x
    To find the length of each side, we can divide both sides by 7:
    x = 287 / 7
    x = 41.0
    ### Answer: 41.0m

Expected answer: 41

Correct? Yes

🔗 Problem

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

Gemma 2B:

    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, so we can set up the equation:

    5s = 50

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

    s = 50/5
    s = 10

    So, the length of each side is 10m.

    ### Answer: 10m

Expected answer: 10

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Since it's a nonagon, it has 9 sides. The perimeter is the sum of all the sides, so we can set up the equation:

    9s = 63

    where s is the length of each side.

    To solve for s, we can divide both sides by 9:

    s = 63/9
    s = 7

    So, the length of each side is 7m.

    ### Answer: 7m

Expected answer: 7

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's call the length of one side of the hexagon "s". Since it's a regular hexagon, all sides are equal. The perimeter is the sum of all sides, which is 6 times the length of one side. So, we can set up the equation:

    6s = 354

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

    s = 354 ÷ 6
    s = 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?

Gemma 2B:

    Reasoning: Let's add up the given side lengths to find the total perimeter without the unknown side:
    59m + 16m + 15m + 35m + 89m + 16m + 43m + x = 286m
    Where x is the length of the unknown side.

    Combine like terms:
    189m + x = 286m

    Subtract 189m from both sides:
    x = 286m - 189m
    x = 97m

    ### Answer: 97m

Expected answer: 6

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a heptagon, we can use the formula for the perimeter of a polygon, which is the sum of all its sides. In this case, the perimeter is 616m, so we can set up the equation:

    7x = 616

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

    x = 616 ÷ 7
    x = 88

    So, the length of each side is 88m.

    ### Answer: 88m.

Expected answer: 88

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    6x = 36

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

    x = 36/6
    x = 6

    So, the length of each side is 6 meters.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: We know the total perimeter of the dodecagon is 492cm. We also know the lengths of 11 of its sides. To find the length of the 12th side, we need to subtract the sum of the lengths of the 11 known sides from the total perimeter.

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

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

    Now, subtract the sum from the total perimeter:

    492cm - 462cm = 30cm

    So, the length of the 12th side is 30cm.

    ### Answer: 30cm

Expected answer: 30

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    6x = 306

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

    x = 306/6
    x = 51

    So, the length of each side is 51m.

    ### 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?

Gemma 2B:

    Reasoning: Let's call the length of each side "x". Since it's a heptagon, we can use the formula for the perimeter of a polygon: Perimeter = Number of sides * Side length.
    We know the perimeter is 238 meters, and the number of sides is 7. So, we can set up the equation: 7x = 238.
    To solve for x, we can divide both sides by 7: x = 238/7.
    ### 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?

Gemma 2B:

    Reasoning: Since it's a regular hexagon, all sides are equal. Let's call the length of each side "x". The perimeter of a hexagon is the sum of the lengths of all its sides. Since there are 6 sides in a hexagon, the perimeter is 6x.

    We know the perimeter is 42m, so we can set up the equation:

    6x = 42

    To solve for x, we can divide both sides by 6:

    x = 42 ÷ 6
    x = 7

    So, the length of each side is 7m.

    ### Answer: 7m

Expected answer: 7

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's denote the length of each side of the octagon as x. Since it's a regular octagon, all sides are equal. The perimeter is the sum of all sides, so we can set up the equation:

    8x = 624

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

    x = 624 ÷ 8
    x = 78

    So, the length of each side of the octagon is 78m.

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 17 + 13 + 61 + 16 + 11 + 83 + 28 + 48 + 93 = 370 meters.
    The total perimeter is 468 meters, so the length of the tenth side is 468 - 370 = 98 meters.
    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Problem

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

Gemma 2B:

    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, so we can set up the equation:

    5s = 380

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

    s = 380/5
    s = 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?

Gemma 2B:

    Reasoning: Since it's a regular octagon, all its 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:

    8x = 104

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

    x = 104/8
    x = 13

    So, the length of one side is 13cm.

    ### 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?

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a heptagon, we can use the formula for the perimeter of a polygon: Perimeter = Number of sides * Side length.
    We know the perimeter is 637m, and the number of sides is 7. So, we can set up the equation: 7x = 637.
    To find the length of each side, we can divide both sides by 7: x = 637/7.
    ### Answer: 91m

Expected answer: 91

Correct? Yes

🔗 Problem

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

Gemma 2B:

    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, so we can set up the equation:

    5s = 35

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

    s = 35/5
    s = 7

    So, the length of each side is 7m.

    ### Answer: 7m

Expected answer: 7

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a pentagon is the sum of the lengths of all its sides. Let's denote the length of the fifth side as x. Then, we can set up the equation:

    45 + 93 + 36 + 22 + x = 223

    Combine like terms:

    196 + x = 223

    Subtract 196 from both sides:

    x = 27

    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 75 + 81 + 22 + 94 + 91 + x = 423, where x is the length of the unknown side.
    We can simplify the equation by combining like terms: 363 + x = 423.
    Subtract 363 from both sides to isolate x: x = 423 - 363.
    x = 60.
    ### Answer: 60

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?

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a decagon, we can use the formula for the perimeter of a polygon, which is the sum of all its sides. In this case, the formula would be:

    Perimeter = 10x

    We are given that the perimeter is 600m, so we can set up the equation:

    10x = 600

    To solve for x, we can divide both sides by 10:

    x = 600/10

    x = 60

    So, the length of each side is 60m.

    ### Answer: 60m.

Expected answer: 60

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since it is a regular octagon, all its sides are equal. Let's call the length of each side "s". Then, the perimeter is 8s, since there are 8 sides.

    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?

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a regular septagon, all sides have the same length. The total perimeter is the sum of the lengths 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 by 7:

    x = 161/7

    x = 23

    So, the length of each side is 23m.

    ### Answer: 23m.

Expected answer: 23

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    6x = 96

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

    x = 96/6
    x = 16

    So, the length of each side is 16m.

    ### Answer: 16m

Expected answer: 16

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 50 + 31 + 24 + 28 + 13 + 97 + 63 + 88 = 392.
    The total perimeter is 402m, so the length of the ninth side is 402 - 392 = 10m.
    ### Answer: 10m.

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?

Gemma 2B:

    Reasoning: Let's call the length of each side "x". Since it's a heptagon, we can use the formula for the perimeter of a polygon: Perimeter = Number of sides * Side length.
    We know the perimeter is 385m, and the number of sides is 7, so we can set up the equation: 7x = 385.
    To solve for x, we can divide both sides by 7: x = 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?

Gemma 2B:

    Reasoning: Let's add up the lengths of the known sides: 89 + 2 + 10 + 48 + 94 = 243 meters.
    The total perimeter is 358 meters, so the remaining side's length is 358 - 243 = 115 meters.
    ### Answer: 115

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?

Gemma 2B:

    Reasoning: Since the octagon has equal sides, we can let the length of each side be x. The total perimeter is the sum of all the sides, which is 8x. We are given that the total perimeter is 496m, so we can set up the equation:

    8x = 496

    To solve for x, we can divide both sides by 8:

    x = 496/8
    x = 62

    So, the length of each side is 62m.

    ### Answer: 62

Expected answer: 62

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    8x = 800

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

    x = 800/8
    x = 100

    So, the length of each side is 100m.

    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a nonagon is the sum of the lengths of all its sides. Since it is a regular nonagon, all its sides are equal. Let's call the length of one side "x". Then, the perimeter is 9x, since there are 9 sides.

    We know that the perimeter is 702 m, so we can set up the equation:

    9x = 702

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

    x = 702 ÷ 9
    x = 78

    So, the length of one side of the nonagon is 78 m.

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a nonagon is the sum of the lengths of all its sides. Since the perimeter is 855cm, we can set up the equation:

    9s = 855

    where s is the length of one side.

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

    s = 855/9
    s = 95

    So, the length of one side of the nonagon is 95cm.

    ### 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.

Gemma 2B:

    Reasoning: The formula to find the perimeter of a polygon is the sum of the lengths of all its sides. Since it's a heptagon, it has 7 sides. Let's call the length of each side "s". Then, the perimeter is 7s.

    We know the perimeter is 504 meters, so we can set up the equation:

    7s = 504

    To find the length of the side, we can divide both sides 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?

Gemma 2B:

    Reasoning: The perimeter of a nonagon is the sum of the lengths of its 9 sides. Let's call the length of each side "x". Then, the perimeter is 9x.

    We know the perimeter is 657m, so we can set up the equation:

    9x = 657

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

    x = 657 ÷ 9
    x = 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?

Gemma 2B:

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

    8x = 48

    To solve for x, we can divide both sides by 8:

    x = 48/8
    x = 6

    So, the length of each side is 6 cm.

    ### Answer: 6 cm

Expected answer: 6

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 28m + 37m + 51m + 84m + 54m + 31m + 94m + ?m = 399m
    Combine like terms: 275m + ?m = 399m
    Subtract 275m from both sides: ?m = 399m - 275m
    ?m = 124m
    ### Answer: 124m

Expected answer: 8

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a nonagon is the sum of the lengths of its 9 sides. Let's call the length of one side "x". Then, the perimeter is 9x. We are given that the perimeter is 342m, so we can set up the equation:

    9x = 342

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

    x = 342 ÷ 9
    x = 38

    So, the length of one side of the nonagon is 38m.

    ### Answer: 38

Expected answer: 38

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the 7 given sides: 7 + 59 + 49 + 38 + 53 + 21 + 34 = 261 m.
    The total perimeter of the polygon is 330 m, so the length of the eighth side is 330 - 261 = 69 m.
    ### Answer: 69 m.

Expected answer: 69

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 88 + 96 + 74 + 52 + 45 + 74 + 85 + 85 + 43 = 552.
    The total perimeter is 682, so the length of the tenth side is 682 - 552 = 130.
    ### Answer: 130

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?

Gemma 2B:

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

    7x = 161

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

    x = 161/7

    x = 23

    ### Answer: 23m

Expected answer: 23

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    6x = 324

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

    x = 324/6
    x = 54

    So, the length of each side is 54m.

    ### Answer: 54m

Expected answer: 54

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The perimeter of a regular polygon is the sum of the lengths of all its sides. Since the pentagon is regular, all its sides are equal. Let's call the length of one side "s". Then, the perimeter is 5s, which is given as 385 meters.

    We can set up an equation: 5s = 385

    To solve for s, we can divide both sides by 5: s = 385/5

    s = 77

    So, the length of one side of the pentagon is 77 meters.

    ### 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?

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a septagon, we can use the formula for the perimeter of a polygon: Perimeter = Number of sides * Side length.
    We know the perimeter is 245m, and the number of sides is 7, so we can set up the equation: 7x = 245.
    To solve for x, we can divide both sides by 7: x = 245/7 = 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?

Gemma 2B:

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

    5x = 25

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

    x = 25/5
    x = 5

    So, the length of one side is 5cm.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The total perimeter of the hexagon is the sum of the lengths of all its sides. Since there are six sides, we can set up the equation:

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

    where x is the length of the sixth side.

    Simplifying the equation, we get:

    315 + x = 380

    Subtracting 315 from both sides gives:

    x = 65

    ### Answer: 65

Expected answer: 65

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The total perimeter of the polygon is the sum of the lengths of all its sides. We know the total perimeter is 419m, and we have 6 sides with lengths 23m, 67m, 57m, 94m, 93m, and 18m. We can calculate the sum of these lengths:

    23m + 67m + 57m + 94m + 93m + 18m = 352m

    Since the total perimeter is 419m, the missing side must have a length of:

    419m - 352m = 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?

Gemma 2B:

    Reasoning: Let's call the length of each side "x". Since it's a heptagon, we can use the formula for the perimeter of a polygon: Perimeter = Number of sides * Side length.
    287 = 7 * x
    To find the length of each side, we can divide both sides by 7:
    x = 287 / 7
    x = 41.0
    ### Answer: 41.0m

Expected answer: 41

Correct? Yes

🔗 Problem

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

Gemma 2B:

    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, so we can set up the equation:

    5s = 55

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

    s = 55/5
    s = 11

    So, the length of each side is 11m.

    ### Answer: 11m

Expected answer: 11

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    9x = 657

    To find the length of each side, we can divide both sides 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?

Gemma 2B:

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

    6x = 78

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

    x = 78/6
    x = 13

    So, the length of each side is 13m.

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: A regular octagon has 8 sides. Let's call the length of one side "x". The total perimeter is the sum of all 8 sides, which is 8x. We know the total perimeter is 600 meters, so we can set up the equation:

    8x = 600

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

    x = 600 ÷ 8
    x = 75

    So, the length of one side of the octagon is 75 meters.

    ### 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?

Gemma 2B:

    Reasoning: Let's add up the lengths of all the sides except the last one:
    39m + 26m + 47m + 52m + 66m + 17m = 247m
    The overall perimeter is 356m, so the length of the last side is:
    356m - 247m = 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?

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a regular decagon, all sides are equal. The perimeter is the sum of all sides, so we can set up the equation:

    10x = 930

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

    x = 930/10
    x = 93

    So, the length of each side is 93 cm.

    ### Answer: 93 cm.

Expected answer: 93

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The total perimeter of the decagon is the sum of the lengths of all its sides. Since we know the total perimeter is 359m, we can set up the equation:

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

    where x is the length of the unknown side.

    Simplifying the equation, we get:

    243 + x = 359

    Subtracting 243 from both sides gives:

    x = 116

    ### Answer: 116

Expected answer: 76

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 52 + 52 + 44 + 53 + 41 + 91 + 25 + x = 368
    Combine like terms: 352 + x = 368
    Subtract 352 from both sides: x = 368 - 352
    x = 16
    ### Answer: 16

Expected answer: 8

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: A regular octagon has 8 sides. The perimeter is the sum of all the sides, so we can set up the equation:

    8s = 592

    where s is the length of one side.

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

    s = 592/8
    s = 74

    So, the length of one side is 74cm.

    ### Answer: 74cm.

Expected answer: 74

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a regular heptagon, all sides are equal. The perimeter is the sum of all sides, so we can set up the equation:

    7x = 245

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

    x = 245/7
    x = 35

    So, the length of each side is 35m.

    ### Answer: 35m

Expected answer: 35

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's denote the length of each side as x. Since it's a regular decagon, all sides are equal. The perimeter is the sum of all sides, so we can set up the equation:

    10x = 140

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

    x = 140/10
    x = 14

    So, the length of each side is 14m.

    ### Answer: 14m

Expected answer: 14

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: Let's add up the lengths of the given sides: 44 + 5 + 96 + 78 + 49 + 84 + 72 + 74 + 21 + 39 = 562.
    The total perimeter is 655, so the length of the 11th side is 655 - 562 = 93.
    ### Answer: 93

Expected answer: 93

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The total perimeter of the polygon is the sum of the lengths of all its sides. We know the total perimeter is 265m, and we have the lengths of 4 sides: 69m, 81m, 34m, 35m, and 38m. We can subtract the lengths of these 4 sides from the total perimeter to find the length of the remaining side:

    265m - (69m + 81m + 34m + 35m + 38m) = ?

    First, let's add up the lengths of the 4 known sides:

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

    Now, subtract this sum from the total perimeter:

    265m - 257m = 8m

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

    ### Answer: 8m.

Expected answer: 8

Correct? Yes

🔗 Problem

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

Gemma 2B:

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

    We know that the total perimeter of the pentagon is the sum of the lengths of all its sides, which is given as 234m. We can set up an equation:

    22m + 14m + 93m + 75m + x = 234m

    Combine like terms:

    204m + x = 234m

    Subtract 204m from both sides:

    x = 30m

    ### Answer: 30m

Expected answer: 30

Correct? Yes