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 72B:

 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: 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 72B:

 Reasoning: The total perimeter of the pentagon is 300cm.
The sum of the four given side lengths is 70+36+53+45 = <<70+36+53+45=204>>204cm.
The length of the fifth side is 300-204 = <<300-204=96>>96cm.
### Answer: 96

Expected answer: 96

Correct? Yes

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 72B:

 Reasoning: The perimeter of the nonagon is the sum of all its side lengths.
The sum of the given side lengths is 14+94+3+20+57+83+96+85 = <<14+94+3+20+57+83+96+85=452>>452cm.
The length of the ninth side is the perimeter minus the sum of the given side lengths, which is 521-452 = <<521-452=69>>69cm.
### Answer: 69cm

Expected answer: 69

Correct? Yes

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 72B:

 Reasoning: The sum of the lengths of the five given sides is 54+51+5+22+93 = <<54+51+5+22+93=225>>225cm.
The length of the sixth side is 274-225 = <<274-225=49>>49cm.
### Answer: 49

Expected answer: 49

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular pentagon is the sum of the lengths of its five equal sides. Therefore, the length of each side is the perimeter divided by 5.
The length of each side is 310 m / 5 = <<310/5=62>>62 m.
### Answer: 62 m

Expected answer: 62

Correct? Yes

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 72B:

 Reasoning: The perimeter of the shape is 78+93+21+4+21 = <<78+93+21+4+21=217>>217cm.
The length of the last side is 315-217 = <<315-217=98>>98cm.
### Answer: 98

Expected answer: 98

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Since the octagon is regular, all its sides are of equal length. Therefore, the length of each side is 160m / 8 = <<160/8=20>>20m.
### Answer: 20m

Expected answer: 20

Correct? Yes

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 72B:

 Reasoning: The sum of the lengths of the seven sides is 6+4+95+34+19+14+26 = <<6+4+95+34+19+14+26=202>>202cm.
The length of the other side is 224-202 = <<224-202=22>>22cm.
### Answer: 22

Expected answer: 26

Correct? No

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

Qwen2-Math 72B:

 Reasoning: A regular hexagon has 6 equal sides. The length of one side is the perimeter divided by the number of sides.
Length of one side = 174 meters / 6 = <<174/6=29>>29 meters.
### Answer: 29 meters

Expected answer: 29

Correct? Yes

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 72B:

 Reasoning: The perimeter of the dodecagon is the sum of all its side lengths.
The sum of the given side lengths is 65+22+32+31+78+88+7+29+36+54 = <<65+22+32+31+78+88+7+29+36+54=442>>442cm.
The length of the 11th side is the total perimeter minus the sum of the given side lengths.
The length of the 11th side is 538-442 = <<538-442=96>>96cm.
### Answer: 96

Expected answer: 96

Correct? Yes

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 72B:

 Reasoning: The sum of the five side lengths is 61+84+80+11+71 = <<61+84+80+11+71=307>>307 cm.
The length of the last side is 357-307 = <<357-307=50>>50 cm.
### Answer: 50

Expected answer: 50

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular octagon has 8 sides of equal length.
The length of one side is 544/8 = <<544/8=68>>68m.
### Answer: 68m

Expected answer: 68

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular decagon 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.
The length of one side is 960m / 10 = <<960/10=96>>96m.
### Answer: 96m

Expected answer: 96

Correct? Yes

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 72B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of its 7 sides. Since all sides are equal, the length of each side is the total perimeter divided by 7.
Length of each side = 203m / 7 = <<203/7=29>>29m
### Answer: 29m

Expected answer: 29

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, we can find the length of each side by dividing the perimeter by the number of sides.
Length of each side = Perimeter / Number of sides = 49 / 7 = <<49/7=7>>7 meters.
### Answer: 7 meters

Expected answer: 7

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of its seven equal sides. Therefore, the length of each side is the perimeter divided by 7.
The length of each side is 329m / 7 = <<329/7=47>>47m.
### Answer: 47m

Expected answer: 47

Correct? Yes

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 72B:

 Reasoning: The perimeter of a heptagon is the sum of all its sides.
The sum of the given sides is 86m + 80m + 47m + 93m + 99m = <<86+80+47+93+99=405>>405m.
The length of the sixth side is the total perimeter minus the sum of the given sides, which is 486m - 405m = <<486-405=81>>81m.
### Answer: 81m

Expected answer: 81

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 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 546/7 = <<546/7=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

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 72B:

 Reasoning: The perimeter of the nonagon is the sum of all its sides.
The sum of the given 8 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 the perimeter minus the sum of the other 8 sides, which is 532-457 = <<532-457=75>>75cm.
### Answer: 75cm

Expected answer: 75

Correct? Yes

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 72B:

 Reasoning: The perimeter of the decagon is the sum of all its sides.
Let the unknown side be x.
Perimeter = 62 + 76 + 98 + 74 + x + 54 + 4 + 24 + 48 = 452
340 + x = 452
x = 452 - 340 = <<452-340=112>>112
### Answer: 112

Expected answer: 12

Correct? No

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

Qwen2-Math 72B:

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

Expected answer: 13

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A nonagon has 9 sides. The length of each side is 171/9 = <<171/9=19>>19m.
### Answer: 19m

Expected answer: 19

Correct? Yes

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 72B:

 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 length of the unknown side is 318-281 = <<318-281=37>>37 cm.
### Answer: 37

Expected answer: 37

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 78

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular decagon has 10 sides of equal length.
The length of each side is 360/10 = <<360/10=36>>36m.
### Answer: 36m

Expected answer: 36

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 87

Correct? Yes

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 72B:

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

Expected answer: 38

Correct? Yes

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 72B:

 Reasoning: The total perimeter of the polygon is the sum of all its side lengths.
Let the length of the sixth side be x.
So, the total perimeter is 56m + 73m + 39m + 24m + 26m + x = 278m.
Solving for x, we get x = 278m - (56m + 73m + 39m + 24m + 26m) = <<278-(56+73+39+24+26)=60>>60m.
### Answer: 60m

Expected answer: 60

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular pentagon has 5 sides of equal length.
Each side is 385/5 = <<385/5=77>>77 cm long.
### Answer: 77

Expected answer: 77

Correct? Yes

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 72B:

 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=618>>618m.
The length of the unknown eleventh side is 663-618 = <<663-618=45>>45m.
### Answer: 45

Expected answer: 54

Correct? No

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 72B:

 Reasoning: The perimeter of a decagon is the sum of all its side lengths. Therefore, the length of the tenth side is 575m - (54m + 49m + 85m + 48m + 85m + 19m + 94m + 44m + 54m) = <<575-(54+49+85+48+85+19+94+44+54)=575-536=39>>39m.
### Answer: 39m

Expected answer: 43

Correct? No

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

Qwen2-Math 72B:

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

Expected answer: 31

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular pentagon has 5 sides of equal length.
The length of each side is 390/5 = <<390/5=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

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 72B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Therefore, the length of the tenth side can be found by subtracting the sum of the given side lengths from the total perimeter.
The sum of the given side lengths is 6m + 85m + 83m + 73m + 25m + 66m + 54m + 87m + 21m = <<6+85+83+73+25+66+54+87+21=500>>500m.
Therefore, the length of the tenth side is 522m - 500m = <<522-500=22>>22m.
### Answer: 22m

Expected answer: 22

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular octagon has 8 sides of equal length.
The length of each side is 408/8 = <<408/8=51>>51m.
### Answer: 51m

Expected answer: 51

Correct? Yes

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 72B:

 Reasoning: An octagon has 8 sides. The perimeter of the octagon is the sum of the length of all sides. Therefore, the length of each side is 696/8 = <<696/8=87>>87m.
### Answer: 87m

Expected answer: 87

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: An octagon has 8 sides. If all sides are equal, then the length of each side is 744/8 = <<744/8=93>>93m.
### Answer: 93m

Expected answer: 93

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A nonagon has 9 sides. The perimeter is the sum of all sides. Therefore, the length of one side is 270m/9 = <<270/9=30>>30m.
### Answer: 30m

Expected answer: 30

Correct? Yes

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 72B:

 Reasoning: The sum of the eight known side lengths is 30+18+68+23+72+57+33+19 = <<30+18+68+23+72+57+33+19=320>>320cm.
The length of the unknown ninth side is 350-320 = <<350-320=30>>30cm.
### Answer: 30

Expected answer: 30

Correct? Yes

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 72B:

 Reasoning: The sum of the eight known side lengths is 19+7+10+16+32+15+70 = <<19+7+10+16+32+15+70=169>>169m.
The length of the ninth side is 188-169 = <<188-169=19>>19m.
### Answer: 19m

Expected answer: 19

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 15

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, we can find the length of each side by dividing the perimeter by 7.
Length of each side = Perimeter / Number of sides = 287m / 7 = <<287/7=41>>41m
### Answer: 41m

Expected answer: 41

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular pentagon has 5 sides of equal length.
The length of each side is 50/5 = <<50/5=10>>10m.
### Answer: 10m

Expected answer: 10

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A nonagon has 9 sides. The length of each side is 63m/9 = <<63/9=7>>7m.
### Answer: 7m

Expected answer: 7

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular hexagon has 6 sides of equal length.
The length of one side of this hexagon is 354/6 = <<354/6=59>>59m.
### Answer: 59m

Expected answer: 59

Correct? Yes

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 72B:

 Reasoning: The total perimeter of the polygon is the sum of all its side lengths.
The sum of the given side lengths is 59+16+15+35+89+16+43+7 = <<59+16+15+35+89+16+43+7=280>>280m.
The length of the last unknown side is the total perimeter minus the sum of the given side lengths, which is 286-280 = <<286-280=6>>6m.
### Answer: 6

Expected answer: 6

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of its 7 sides.
The length of each side is 616/7 = <<616/7=88>>88m.
### Answer: 88m

Expected answer: 88

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 6

Correct? Yes

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 72B:

 Reasoning: The sum of the lengths of the 11 sides is 88+24+83+64+16+14+90+36+47 = <<88+24+83+64+16+14+90+36+47=462>>462cm.
The length of the twelfth side is 492-462 = <<492-462=30>>30cm.
### Answer: 30

Expected answer: 30

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular hexagon has 6 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is the perimeter divided by the number of sides.
Length of each side = Perimeter / Number of sides = 306m / 6 = <<306/6=51>>51m
### Answer: 51m

Expected answer: 51

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular heptagon has 7 sides of equal length.
The length of each side is 238/7 = <<238/7=34>>34 meters.
### Answer: 34

Expected answer: 34

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular hexagon has 6 sides of equal length. The length of each side is 42/6 = <<42/6=7>>7m.
### Answer: 7m

Expected answer: 7

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular octagon has 8 sides of equal length.
The length of each side of the octagon is 624/8 = <<624/8=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

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 72B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of all its sides. Therefore, the length of the tenth side can be found by subtracting the sum of the lengths of the other nine sides from the total perimeter.
The sum of the lengths of the other nine sides is 17m + 13m + 61m + 16m + 11m + 83m + 28m + 48m + 93m = <<17+13+61+16+11+83+28+48+93=370>>370m.
Therefore, the length of the tenth side is 468m - 370m = <<468-370=98>>98m.
### Answer: 98m

Expected answer: 98

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular pentagon has 5 sides of equal length.
The length of each side is 380/5 = <<380/5=76>>76m.
### Answer: 76m

Expected answer: 76

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular octagon has 8 sides of equal length.
The length of one side is 104/8 = <<104/8=13>>13 cm.
### Answer: 13

Expected answer: 13

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular polygon 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 637m / 7 = <<637/7=91>>91m.
### Answer: 91m

Expected answer: 91

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular pentagon is the sum of the lengths of its five equal sides. Therefore, the length of each side is the perimeter divided by 5.
The length of each side is 35m / 5 = <<35/5=7>>7m.
### Answer: 7m

Expected answer: 7

Correct? Yes

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 72B:

 Reasoning: The sum of the lengths of the four sides is 45+93+36+22 = <<45+93+36+22=196>>196cm.
The length of the fifth side is 223-196 = <<223-196=27>>27cm.
### Answer: 27

Expected answer: 27

Correct? Yes

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 72B:

 Reasoning: The perimeter of the polygon is the sum of the lengths of all its sides.
Let the length of the last unknown side be x cm.
Perimeter = 75 + 81 + 22 + 94 + 91 + 10 + x = 423
373 + x = 423
x = 423 - 373 = <<423-373=50>>50
### Answer: 50

Expected answer: 50

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 60

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular 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 perimeter by the number of sides.
The length of each side is 632m / 8 = <<632/8=79>>79m.
### Answer: 79m

Expected answer: 79

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of all its sides. Since a septagon has 7 sides, we can find the length of each side by dividing the total perimeter by 7.
Length of each side = Total perimeter / Number of sides = 161m / 7 = <<161/7=23>>23m.
### Answer: 23m

Expected answer: 23

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular hexagon has 6 sides of equal length. The length of each side is 96/6 = <<96/6=16>>16m.
### Answer: 16m

Expected answer: 16

Correct? Yes

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 72B:

 Reasoning: The total perimeter of the nonagon is 402m. The sum of the lengths of the eight known sides is 50m + 31m + 24m + 28m + 13m + 97m + 63m + 88m = <<50+31+24+28+13+97+63+88=394>>394m. Therefore, the length of the ninth side is 402m - 394m = <<402-394=8>>8m.
### Answer: 8m

Expected answer: 8

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 55

Correct? Yes

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 72B:

 Reasoning: The total length of the known sides is 89 + 2 + 10 + 48 + 94 + 59 = <<89+2+10+48+94+59=302>>302 meters.
The length of the remaining side is 358 - 302 = <<358-302=56>>56 meters.
### Answer: 56

Expected answer: 56

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The length of each side is 496/8 = <<496/8=62>>62m.
### Answer: 62

Expected answer: 62

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular octagon has 8 sides of equal length.
The length of each side is 800/8 = <<800/8=100>>100m.
### Answer: 100m

Expected answer: 100

Correct? Yes

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 72B:

 Reasoning: The perimeter of a regular nonagon 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.
The length of one side is 702 m / 9 = <<702/9=78>>78 m.
### Answer: 78 m

Expected answer: 78

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A nonagon has 9 sides. The length of one side is 855/9 = <<855/9=95>>95cm.
### Answer: 95

Expected answer: 95

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of its seven equal sides. Therefore, the length of one side is 504/7 = <<504/7=72>>72 meters.
### Answer: 72

Expected answer: 72

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular nonagon has 9 sides of equal length.
The length of each side is 657/9 = <<657/9=73>>73m.
### Answer: 73m

Expected answer: 73

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: Since the octagon is regular, all sides are equal. The perimeter is the sum of all sides, so each side is 48 cm / 8 = <<48/8=6>>6 cm.
### Answer: 6 cm

Expected answer: 6

Correct? Yes

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 72B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of all its sides. We can calculate the sum of the given side lengths: 28m + 37m + 51m + 84m + 54m + 31m + 94m + 12m = 391m. Since the total perimeter is 399m, the length of the remaining unknown side is 399m - 391m = <<399-391=8>>8m.
### Answer: 8m

Expected answer: 8

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A nonagon has 9 sides. The length of one side is 342/9 = <<342/9=38>>38m.
### Answer: 38m

Expected answer: 38

Correct? Yes

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 72B:

 Reasoning: The sum of the given side lengths is 7+59+49+38+53+21+34 = <<7+59+49+38+53+21+34=261>>261 m.
The length of the eighth side is 330-261 = <<330-261=69>>69 m.
### Answer: 69

Expected answer: 69

Correct? Yes

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 72B:

 Reasoning: The length of the tenth side is 682-(88+96+74+52+45+74+85+85+43) = <<682-(88+96+74+52+45+74+85+85+43)=682-642=40>>40m.
### Answer: 40m

Expected answer: 40

Correct? Yes

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 72B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Since a regular septagon has 7 equal sides, we can find the length of each side by dividing the total perimeter by 7.
Length of each side = Perimeter / Number of sides = 161m / 7 = <<161/7=23>>23m.
### Answer: 23m

Expected answer: 23

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular hexagon has 6 sides of equal length. The perimeter is the sum of the lengths of all sides. Therefore, the length of each side is the perimeter divided by the number of sides.
Length of each side = Perimeter / Number of sides = 324m / 6 = <<324/6=54>>54m
### Answer: 54m

Expected answer: 54

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 77

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Since a regular septagon has 7 sides of equal length, we can find the length of each side by dividing the perimeter by 7.
Length of each side = Perimeter / Number of sides = 245m / 7 = <<245/7=35>>35m
### Answer: 35m

Expected answer: 35

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular pentagon has 5 sides of equal length.
The length of one side is 25/5 = <<25/5=5>>5cm.
### Answer: 5

Expected answer: 5

Correct? Yes

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 72B:

 Reasoning: The total perimeter of the hexagon is the sum of all its sides. Therefore, the length of the sixth side can be found by subtracting the sum of the lengths of the other five sides from the total perimeter.
The sum of the lengths of the other five sides is 9m + 49m + 100m + 73m + 84m = <<9+49+100+73+84=315>>315m.
Therefore, the length of the sixth side is 380m - 315m = <<380-315=65>>65m.
### Answer: 65m

Expected answer: 65

Correct? Yes

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 72B:

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

Expected answer: 37

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides. Since a regular heptagon has 7 sides of equal length, we can find the length of each side by dividing the perimeter by 7.
Length of each side = Perimeter / Number of sides = 287m / 7 = <<287/7=41>>41m
### Answer: 41m

Expected answer: 41

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular pentagon has 5 sides of equal length.
The length of each side is 55/5 = <<55/5=11>>11m.
### Answer: 11m

Expected answer: 11

Correct? Yes

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 72B:

 Reasoning: The perimeter of a regular nonagon 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.
Length of one side = Perimeter / Number of sides = 657 / 9 = <<657/9=73>>73 meters.
### Answer: 73 meters

Expected answer: 73

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 13

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular octagon has 8 sides of equal length.
The length of one side is 600/8 = <<600/8=75>>75 meters.
### Answer: 75

Expected answer: 75

Correct? Yes

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 72B:

 Reasoning: The perimeter of the polygon is the sum of all its side lengths.
The sum of the given side lengths is 39+26+47+52+66+17+34 = <<39+26+47+52+66+17+34=281>>281m.
The length of the last side is the total perimeter minus the sum of the given side lengths, which is 356-281 = <<356-281=75>>75m.
### Answer: 75m

Expected answer: 75

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular decagon has 10 sides of equal length.
The length of each side is 930/10 = <<930/10=93>>93 cm.
### Answer: 93

Expected answer: 93

Correct? Yes

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 72B:

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

Expected answer: 76

Correct? No

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 72B:

 Reasoning: The perimeter of the nonagon is the sum of all its side lengths.
The sum of the given side lengths is 52+52+44+53+41+91+25+2 = <<52+52+44+53+41+91+25+2=360>>360m.
The length of the final side is the total perimeter minus the sum of the given side lengths, which is 368-360 = <<368-360=8>>8m.
### Answer: 8m

Expected answer: 8

Correct? Yes

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

Qwen2-Math 72B:

 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 one side is the perimeter divided by 8.
The length of one side is 592/8 = <<592/8=74>>74 cm.
### Answer: 74

Expected answer: 74

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 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 245m / 7 = <<245/7=35>>35m.
### Answer: 35m

Expected answer: 35

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: A regular decagon has 10 sides of equal length.
The length of each side is 140/10 = <<140/10=14>>14m.
### Answer: 14m

Expected answer: 14

Correct? Yes

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 72B:

 Reasoning: The perimeter of the polygon is the sum of all its side lengths.
The sum of the given side lengths is 44+5+96+78+49+84+72+74+21+39 = <<44+5+96+78+49+84+72+74+21+39=552>>552cm.
The length of the 11th side is the total perimeter minus the sum of the given side lengths.
The length of the 11th side is 655-552 = <<655-552=103>>103cm.
### Answer: 103

Expected answer: 93

Correct? No

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 72B:

 Reasoning: The sum of the lengths of the given sides is 69+81+34+35+38 = <<69+81+34+35+38=257>>257m.
The length of the remaining side is 265-257 = <<265-257=8>>8m.
### Answer: 8

Expected answer: 8

Correct? Yes

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 72B:

 Reasoning: The perimeter of a pentagon is the sum of all its side lengths.
Let the length of the fifth side be x.
Perimeter = 22m + 14m + 93m + 75m + x = 234m
204m + x = 234m
x = 234m - 204m
x = 30m
### Answer: 30m

Expected answer: 30

Correct? Yes