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Qwen2-Math 7B on 3.MD.D.8-polygon

Common Core Standard 3.MD.D.8-polygon

This standard covers the following:

Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

🔗 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?

Qwen2-Math 7B:

 Reasoning: The sum of the given measurements is 41+28+90+32+10+98 = <<41+28+90+32+10+98=299>>299 miles.
The remaining measurement is 368-299 = <<368-299=69>>69 miles.
### 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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter is given as 300cm.
The sum of the given side lengths is 70+36+53+45 = <<70+36+53+45=204>>204cm.
Therefore, the length of the fifth side is 300-204 = <<300-204=96>>96cm.
### 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?

Qwen2-Math 7B:

 Reasoning: The perimeter of the nonagon is the sum of all its side lengths. Therefore, the length of the ninth side is 521 - (14 + 94 + 3 + 20 + 57 + 83 + 96 + 85) = <<521-(14+94+3+20+57+83+96+85)=100>>100cm.
### Answer: 100

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of the polygon is the sum of the lengths of all its sides. Therefore, the length of the sixth side is 274 - (54 + 51 + 5 + 22 + 93) = <<274-(54+51+5+22+93)=274-225=49>>49cm.
### Answer: 49cm

Expected answer: 49

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 310/5 = <<310/5=62>>62 m.
### Answer: 62

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of the polygon is the sum of all its side lengths. Therefore, the length of the last side is 315 - (78 + 93 + 21 + 4 + 21) = <<315-(78+93+21+4+21)=315-219=96>>96cm.
### Answer: 96cm

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since all sides are equal in length, we can find the length of one side by dividing the perimeter by the number of sides.
Length of one side = Perimeter / Number of sides = 160m / 8 = <<160/8=20>>20m.
### Answer: 20m

Expected answer: 20

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The sum of the lengths of the seven given sides is 6+4+95+34+19+14+26 = <<6+4+95+34+19+14+26=218>>218cm.
The length of the other side is 224-218 = <<224-218=6>>6cm.
### Answer: 6

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular hexagon is the sum of the lengths of all its sides. Since all sides are equal, we can find the length of one side by dividing the perimeter by the number of sides. Therefore, the length of one side is 174/6 = <<174/6=29>>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?

Qwen2-Math 7B:

 Reasoning: The total perimeter of the dodecagon is 538cm. The sum of the lengths of the first 10 sides is 65+22+32+31+78+88+7+29+36+54 = <<65+22+32+31+78+88+7+29+36+54=422>>422cm.
The length of the 11th side is 538-422 = <<538-422=116>>116cm.
### Answer: 116

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?

Qwen2-Math 7B:

 Reasoning: The sum of the given side lengths is 61+84+80+11+71 = <<61+84+80+11+71=307>>307 cm.
To find the length of the last side, we subtract the sum of the given side lengths from the total sum of lengths: 357-307 = <<357-307=50>>50 cm.
### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 sides of equal length, the length of one side is the perimeter divided by 8.
The length of one side is 544/8 = <<544/8=68>>68m.
### 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.

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular decagon is the sum of the lengths of all its sides. Since a regular decagon has 10 equal sides, the length of one side is the perimeter divided by the number of sides.
The length of one side is 960m / 10 = <<960/10=96>>96m.
### 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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of its 7 sides. If the perimeter is 203m, then each side is 203/7 = <<203/7=29>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a heptagon has 7 sides, the length of each side is the perimeter divided by 7.
The length of each side is 49/7 = <<49/7=7>>7 meters.
### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular heptagon has 7 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 329/7 = <<329/7=47>>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?

Qwen2-Math 7B:

 Reasoning: The total perimeter of the heptagon is 486m. The sum of the lengths of the first five sides is 86m + 80m + 47m + 93m + 99m = <<86+80+47+93+99=405>>405m.
The length of the sixth side is 486m - 405m = <<486-405=81>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, the length of each side is 546/7 = <<546/7=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The sum of the lengths of the 8 given sides is 26+45+75+68+63+80+100 = <<26+45+75+68+63+80+100=457>>457cm.
The length of the ninth side is 532-457 = <<532-457=75>>75cm.
### 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?

Qwen2-Math 7B:

 Reasoning: The sum of the known sides is 62+76+98+74+54+4+24+48 = <<62+76+98+74+54+4+24+48=392>>392m.
The perimeter of the shape is 452m, so the length of the unknown side is 452-392 = <<452-392=60>>60m.
### Answer: 60

Expected answer: 12

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 78/6 = <<78/6=13>>13m.
### Answer: 13m

Expected answer: 13

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular nonagon is the sum of the lengths of its 9 sides. Therefore, the length of each side is 171/9 = <<171/9=19>>19m.
### Answer: 19m

Expected answer: 19

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The sum of the known side lengths is 8+17+30+17+86+55+68 = <<8+17+30+17+86+55+68=281>>281 cm.
The unknown side length is 318-281 = <<318-281=37>>37 cm.
### 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?

Qwen2-Math 7B:

 Reasoning: The length of each side of the polygon is 858/11 = <<858/11=78>>78m.
### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular decagon has 10 sides of equal length. Therefore, the length of each side is 360m / 10 = <<360/10=36>>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?

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 522/6 = <<522/6=87>>87m.
### Answer: 87m

Expected answer: 87

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The length of each side is 418/11 = <<418/11=38>>38m.
### Answer: 38

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter is given as 278m, and the lengths of the first five sides are 56m, 73m, 39m, 24m, and 26m. To find the length of the sixth side, we can subtract the sum of the lengths of the first five sides from the total perimeter.

The sum of the lengths of the first five sides is 56m + 73m + 39m + 24m + 26m = 218m.

Therefore, the length of the sixth side is 278m - 218m = <<278-218=60>>60m.
### Answer: 60m

Expected answer: 60

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 equal sides. Therefore, each side is 385/5 = <<385/5=77>>77cm long.
### Answer: 77

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?

Qwen2-Math 7B:

 Reasoning: The sum of the known sides is 97+93+35+1+27+86+68+96+45+61 = <<97+93+35+1+27+86+68+96+45+61=570>>570m.
The length of the unknown side is 663-570 = <<663-570=93>>93m.
### Answer: 93

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter of the decagon is 575m.
The sum of the lengths of the first nine sides is 54+49+85+48+85+19+94+44+54 = <<54+49+85+48+85+19+94+44+54=484>>484m.
Therefore, the length of the tenth side is 575-484 = <<575-484=91>>91m.
### Answer: 91m

Expected answer: 43

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 equal sides, the length of each side is the perimeter divided by 8.
The length of each side is 248/8 = <<248/8=31>>31m.
### Answer: 31m

Expected answer: 31

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 390/5 = <<390/5=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The sum of the given side lengths is 6+85+83+73+25+66+54+87+21 = <<6+85+83+73+25+66+54+87+21=484>>484m.
The total perimeter is 522m, so the length of the tenth side is 522-484 = <<522-484=38>>38m.
### Answer: 38

Expected answer: 22

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 sides of equal length, the length of each side is the perimeter divided by 8.
The length of each side is 408/8 = <<408/8=51>>51m.
### Answer: 51m

Expected answer: 51

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of an octagon is the sum of the lengths of all its sides. Since all sides are of equal length, we can find the length of one side by dividing the perimeter by the number of sides.
Length of one side = Perimeter / Number of sides = 696m / 8 = <<696/8=87>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of an octagon is the sum of the lengths of all its sides. If all sides are equal, then the length of each side is the perimeter divided by the number of sides.
The length of each side is 744/8 = <<744/8=93>>93m.
### Answer: 93m

Expected answer: 93

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular nonagon is the sum of the lengths of all its sides. Since a nonagon has 9 sides, the length of one side is the perimeter divided by the number of sides.
The length of one side is 270/9 = <<270/9=30>>30m.
### Answer: 30

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?

Qwen2-Math 7B:

 Reasoning: The sum of the known side lengths is 30+18+68+23+72+57+33+19 = <<30+18+68+23+72+57+33+19=350>>350cm.
The total perimeter of the nonagon is 350cm.
The length of the unknown ninth side is 350 - 350 = <<350-350=0>>0cm.
### Answer: 0

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?

Qwen2-Math 7B:

 Reasoning: The sum of the known side lengths is 19+7+10+16+32+15+70 = <<19+7+10+16+32+15+70=179>>179m.
The total perimeter of the nonagon is 188m, so the length of the ninth side is 188-179 = <<188-179=9>>9m.
### Answer: 9m

Expected answer: 19

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 90/6 = <<90/6=15>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, the length of each side is the perimeter divided by the number of sides.
The length of each side is 287/7 = <<287/7=41>>41m.
### Answer: 41m

Expected answer: 41

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 50/5 = <<50/5=10>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular nonagon is the sum of the lengths of its 9 sides. Therefore, the length of each side is 63/9 = <<63/9=7>>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?

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of one side is 354/6 = <<354/6=59>>59m.
### Answer: 59m

Expected answer: 59

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of the polygon is the sum of all its side lengths. Therefore, the length of the last unknown side is 286 - (59 + 16 + 15 + 35 + 89 + 16 + 43 + 7) = <<286-(59+16+15+35+89+16+43+7)=286-286=0>>0m.
### Answer: 0m

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, the length of each side is the perimeter divided by 7.
The length of each side is 616/7 = <<616/7=88>>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?

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 36/6 = <<36/6=6>>6m.
### Answer: 6m

Expected answer: 6

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The sum of the lengths of the 11 known sides is 88+24+83+64+16+14+90+36+47 = <<88+24+83+64+16+14+90+36+47=491>>491cm.
The length of the twelfth side is 492-491 = <<492-491=1>>1cm.
### Answer: 1

Expected answer: 30

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 306/6 = <<306/6=51>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a heptagon has 7 sides, the length of each side is the perimeter divided by 7.
The length of each side is 238/7 = <<238/7=34>>34 meters.
### 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?

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The total perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 42/6 = <<42/6=7>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 sides of equal length, the length of each side is the perimeter divided by 8.
The length of each side of the octagon is 624/8 = <<624/8=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The total perimeter of the polygon is 468 meters. The sum of the lengths of the nine sides is 17+13+61+16+11+83+28+48+93 = <<17+13+61+16+11+83+28+48+93=388>>388 meters.
The length of the tenth side is 468-388 = <<468-388=80>>80 meters.
### Answer: 80

Expected answer: 98

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 380/5 = <<380/5=76>>76m.
### Answer: 76m

Expected answer: 76

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 sides of equal length, the length of one side is the perimeter divided by 8.
The length of one side is 104/8 = <<104/8=13>>13cm.
### Answer: 13

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, the length of each side is the perimeter divided by 7.
The length of each side is 637/7 = <<637/7=91>>91m.
### Answer: 91m

Expected answer: 91

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 35/5 = <<35/5=7>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of the pentagon is the sum of the lengths of all its sides. Therefore, the length of the fifth side is 223 - (45 + 93 + 36 + 22) = <<223-(45+93+36+22)=223-196=27>>27cm.
### 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?

Qwen2-Math 7B:

 Reasoning: The perimeter of the polygon is the sum of the lengths of all its sides. Therefore, the length of the last unknown side is 423 - (75 + 81 + 22 + 94 + 91 + 10) = <<423-(75+81+22+94+91+10)=100>>100cm.
### Answer: 100cm

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular decagon is the sum of the lengths of all its sides. Since a regular decagon has 10 equal sides, the length of each side is the perimeter divided by the number of sides.
The length of each side is 600/10 = <<600/10=60>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 equal sides, the length of each side is the perimeter divided by 8.
The length of each side is 632/8 = <<632/8=79>>79m.
### Answer: 79m

Expected answer: 79

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The length of each side of a regular septagon is the total perimeter divided by the number of sides.
The length of each side is 161/7 = <<161/7=23>>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?

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 96/6 = <<96/6=16>>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.

Qwen2-Math 7B:

 Reasoning: The sum of the lengths of the eight given sides is 50+31+24+28+13+97+63+88 = <<50+31+24+28+13+97+63+88=408>>408m.
The length of the ninth side is 402-408 = <<402-408=-6>>-6m.
However, a negative length is not possible, so there must be an error in the given information.

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, the length of each side is the perimeter divided by the number of sides.
The length of each side is 385m / 7 = <<385/7=55>>55m.
### 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?

Qwen2-Math 7B:

 Reasoning: The total perimeter of the polygon is 358 meters. The sum of the lengths of the five known sides is 89 + 2 + 10 + 48 + 94 = <<89+2+10+48+94=243>>243 meters. The length of the remaining side is 358 - 243 = <<358-243=115>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of an octagon is the sum of the lengths of all its sides. Since all sides are equal, we can find the length of one side by dividing the total perimeter by the number of sides.
496m / 8 = <<496/8=62>>62m
### Answer: 62m

Expected answer: 62

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 sides of equal length, the length of each side is the perimeter divided by the number of sides.
The length of each side is 800/8 = <<800/8=100>>100m.
### Answer: 100m

Expected answer: 100

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular nonagon is the sum of the lengths of all its sides. Since a nonagon has 9 sides, the length of one side is the perimeter divided by 9.
The length of one side is 702/9 = <<702/9=78>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular nonagon is the sum of the lengths of its 9 sides. Therefore, the length of one side is 855/9 = <<855/9=95>>95cm.
### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular heptagon has 7 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of one side is the perimeter divided by the number of sides.
Length of one side = Perimeter / Number of sides = 504 / 7 = <<504/7=72>>72 meters.
### 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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular nonagon is the sum of the lengths of all its sides. Since a nonagon has 9 sides, the length of each side is the perimeter divided by 9.
657m / 9 = <<657/9=73>>73m
### 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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since the octagon is regular, all sides are of equal length. Therefore, the length of each side is the total perimeter divided by the number of sides, which is 48 cm / 8 = <<48/8=6>>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?

Qwen2-Math 7B:

 Reasoning: The sum of the known side lengths is 28+37+51+84+54+31+94+12 = <<28+37+51+84+54+31+94+12=399>>399m.
The total perimeter of the polygon is 399m, so the length of the remaining unknown side is 399-399 = <<399-399=0>>0m.
### Answer: 0m

Expected answer: 8

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular nonagon has 9 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of one side is 342/9 = <<342/9=38>>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?

Qwen2-Math 7B:

 Reasoning: The sum of the given side lengths is 7 + 59 + 49 + 38 + 53 + 21 + 34 = <<7+59+49+38+53+21+34=251>>251 m.
The total perimeter of the polygon is 330 m, so the length of the eighth side is 330 - 251 = <<330-251=79>>79 m.
### Answer: 79

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?

Qwen2-Math 7B:

 Reasoning: The sum of the given side lengths is 88+96+74+52+45+74+85+85+43 = <<88+96+74+52+45+74+85+85+43=566>>566m.
The total perimeter of the decagon is 682m, so the length of the tenth side is 682-566 = <<682-566=116>>116m.
### Answer: 116

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?

Qwen2-Math 7B:

 Reasoning: Since a regular septagon has 7 equal sides, the length of each side is 161m / 7 = <<161/7=23>>23m.
### Answer: 23m

Expected answer: 23

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of all sides, so each side is 324/6 = <<324/6=54>>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?

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 equal sides.
The length of one side is 385/5 = <<385/5=77>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular septagon is the sum of the lengths of all its sides. Since a septagon has 7 sides, the length of each side is the perimeter divided by 7.
The length of each side is 245/7 = <<245/7=35>>35m.
### Answer: 35m

Expected answer: 35

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of one side is the perimeter divided by the number of sides.
The length of one side is 25/5 = <<25/5=5>>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.

Qwen2-Math 7B:

 Reasoning: The perimeter of a hexagon is the sum of the lengths of all its sides. Given that the perimeter is 380m and we have the lengths of five sides, we can find the length of the sixth side by subtracting the sum of the known sides from the total perimeter.
The sum of the known sides is 9m + 49m + 100m + 73m + 84m = <<9+49+100+73+84=315>>315m.
The length of the sixth side is 380m - 315m = <<380-315=65>>65m.
### Answer: 65m

Expected answer: 65

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The sum of the given side lengths is 23+67+57+94+93+18+30 = <<23+67+57+94+93+18+30=382>>382m.
The total perimeter of the polygon is 419m, so the length of the missing side is 419-382 = <<419-382=37>>37m.
### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, the length of each side is the perimeter divided by the number of sides.
The length of each side is 287/7 = <<287/7=41>>41m.
### Answer: 41m

Expected answer: 41

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular pentagon has 5 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 55/5 = <<55/5=11>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular nonagon is the sum of the lengths of its nine equal sides. To find the length of one side, we divide the total perimeter by the number of sides.
657 meters / 9 sides = <<657/9=73>>73 meters per side.
### Answer: 73 meters

Expected answer: 73

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular hexagon has 6 equal sides. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 78/6 = <<78/6=13>>13m.
### Answer: 13m

Expected answer: 13

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of its 8 sides. Therefore, the length of one side is 600/8 = <<600/8=75>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Therefore, the length of the last side can be found by subtracting the sum of the lengths of the known sides from the total perimeter.
The sum of the lengths of the known sides is 39m + 26m + 47m + 52m + 66m + 17m + 34m = <<39+26+47+52+66+17+34=277>>277m.
The length of the last side is 356m - 277m = <<356-277=79>>79m.
### Answer: 79m

Expected answer: 75

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular decagon has 10 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 930/10 = <<930/10=93>>93 cm.
### Answer: 93

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?

Qwen2-Math 7B:

 Reasoning: The sum of the known sides is 24+25+75+38+18+42+61 = <<24+25+75+38+18+42+61=283>>283m.
The total perimeter is 359m, so the sum of the two unknown sides is 359-283 = <<359-283=76>>76m.
Since the decagon is regular, the two unknown sides are equal, so each unknown side is 76/2 = <<76/2=38>>38m.
### Answer: 38

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?

Qwen2-Math 7B:

 Reasoning: The perimeter of a nonagon is the sum of the lengths of all its sides. Therefore, the length of the final side is 368m - (52m + 52m + 44m + 53m + 41m + 91m + 25m + 2m) = <<368-(52+52+44+53+41+91+25+2)=100>>100m.
### Answer: 100m

Expected answer: 8

Correct? No

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: The perimeter of a regular octagon is the sum of the lengths of all its sides. Since a regular octagon has 8 sides of equal length, the length of one side is the perimeter divided by 8.
The length of one side is 592/8 = <<592/8=74>>74cm.
### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Problem

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

Qwen2-Math 7B:

 Reasoning: A regular heptagon has 7 sides of equal length. Therefore, the length of each side is 245/7 = <<245/7=35>>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?

Qwen2-Math 7B:

 Reasoning: A regular decagon has 10 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is 140/10 = <<140/10=14>>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?

Qwen2-Math 7B:

 Reasoning: The perimeter of the polygon is the sum of all its side lengths. Therefore, the length of the 11th side is 655 - (44+5+96+78+49+84+72+74+21+39) = <<655-(44+5+96+78+49+84+72+74+21+39)=100>>100cm.
### Answer: 100

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?

Qwen2-Math 7B:

 Reasoning: The sum of the given sides is 69+81+34+35+38 = <<69+81+34+35+38=277>>277m.
The remaining side is 265-277 = <<265-277=-12>>-12m.
However, a negative length is not possible, so there must be an error in the given information.

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.

Qwen2-Math 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter of the pentagon is 234m.
The sum of the lengths of the four known sides is 22m + 14m + 93m + 75m = <<22+14+93+75=184>>184m.
Therefore, the length of the fifth side is 234m - 184m = <<234-184=50>>50m.
### Answer: 50m

Expected answer: 30

Correct? No