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?

Mixtral 8x22B:

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

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?

Mixtral 8x22B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides.
The total perimeter of the pentagon is 300cm, and the lengths of four of its sides are 70cm, 36cm, 53cm, and 45cm.
The length of the fifth side can be found by subtracting the sum of the lengths of the other four sides from the total perimeter.
The sum of the lengths of the four sides 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: 96cm

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?

Mixtral 8x22B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides.
The perimeter of the nonagon is 521cm, and the sum of the lengths of the eight given sides 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 lengths of the eight given sides, 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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of all its sides.
The sum 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 the total perimeter minus the sum of the five given sides, which is 274-225 = <<274-225=49>>49cm.
### Answer: 49cm

Expected answer: 49

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular pentagon has 5 equal sides.
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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of all its side lengths.
The sum of the given side lengths is 78cm + 93cm + 21cm + 4cm + 21cm = <<78+93+21+4+21=217>>217cm.
The length of the last side is the total perimeter minus the sum of the given side lengths, which is 315cm - 217cm = <<315-217=98>>98cm.
### Answer: 98cm

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?

Mixtral 8x22B:

 Reasoning: An octagon has 8 sides, so to find the length of each side, we divide the perimeter by the number of sides.
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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the octagon is the sum of the lengths of all eight sides.
Let x be the length of the eighth side.
The total perimeter is 6+4+95+34+19+14+26+x = 224.
Solving for x, we get x = 224 - (6+4+95+34+19+14+26) = <<224-(6+4+95+34+19+14+26)=224-198=26>>26 cm.
### Answer: 26 cm

Expected answer: 26

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of all its sides.
So, the length of one side is 174/6 = <<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?

Mixtral 8x22B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides.
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=452>>452cm.
The length of the 11th side is the total perimeter minus the sum of the lengths of the first 10 sides, which is 538-452 = <<538-452=86>>86cm.
### Answer: 86cm

Expected answer: 96

Correct? No

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?

Mixtral 8x22B:

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

Expected answer: 50

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 sides of equal length.
The perimeter of a regular octagon is the sum of the lengths of all its sides.
Therefore, the length of one side of the octagon is 544m/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.

Mixtral 8x22B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of all its sides. Since a regular decagon has 10 sides 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
= 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?

Mixtral 8x22B:

 Reasoning: The perimeter of a regular polygon is the sum of all its side lengths. Since the heptagon is regular, all its sides are equal in length. Therefore, to find the length of one side, we divide the total perimeter by the number of sides.

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?

Mixtral 8x22B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since the heptagon is regular, all its sides are equal in length. Therefore, the length of each side can be found by dividing the perimeter by the number of sides.

Length of each side = Perimeter / Number of sides
= 49 meters / 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?

Mixtral 8x22B:

 Reasoning: A regular heptagon has 7 sides of equal length.
The perimeter of a regular heptagon is the sum of the lengths of all its sides.
Therefore, 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?

Mixtral 8x22B:

 Reasoning: The perimeter of a heptagon is the sum of the lengths of all its sides.
The total perimeter of the heptagon is 486m, and the lengths of the first five sides are 86m, 80m, 47m, 93m, and 99m.
The length of the sixth side is the total perimeter minus the sum of the lengths of the first five sides.
The length of the sixth side is 486 - (86 + 80 + 47 + 93 + 99) = <<486 - (86 + 80 + 47 + 93 + 99)=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?

Mixtral 8x22B:

 Reasoning: A regular heptagon has 7 equal sides.
The perimeter of a regular heptagon is the sum of the lengths of all its sides.
The length of each side is the perimeter divided by the number of sides.
The length of each side is 546m/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?

Mixtral 8x22B:

 Reasoning: The perimeter of the nonagon is the sum of the lengths of all its sides.
The sum of the lengths of the eight known sides is 26+45+75+68+63+80+100 = <<26+45+75+68+63+80+100=467>>467cm.
The length of the ninth side is the perimeter minus the sum of the lengths of the eight known sides, which is 532-467 = <<532-467=65>>65cm.
### Answer: 65cm

Expected answer: 75

Correct? No

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?

Mixtral 8x22B:

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

The sum of the known sides is 62m + 76m + 98m + 74m + 54m + 4m + 24m + 48m = <<62+76+98+74+54+4+24+48=440>>440m.

The length of the unknown side is the total perimeter minus the sum of the known sides, which is 452m - 440m = <<452-440=12>>12m.

### Answer: 12m

Expected answer: 12

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of the lengths of all its sides.
The length of each side of the hexagon 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?

Mixtral 8x22B:

 Reasoning: A regular nonagon has 9 sides of equal length.
The perimeter of a regular nonagon is the sum of the lengths of all its sides.
Therefore, the length of each side is 171m/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?

Mixtral 8x22B:

 Reasoning: The perimeter of the nonagon is the sum of all its side lengths. We know the lengths of 8 sides and the overall perimeter, so we can find the length of the unknown side by subtracting the sum of the known side lengths from the overall perimeter.

The sum of the known side lengths is 8 + 17 + 30 + 17 + 86 + 55 + 68 = <<8+17+30+17+86+55+68=321>>321 cm.

The length of the unknown side is the overall perimeter minus the sum of the known side lengths, which is 318 - 321 = <<318-321=-3>>-3 cm. However, a side length cannot be negative, so there must be a mistake in the given information.

### Answer: There is a mistake in the given information. The length of the unknown side cannot be determined.

Expected answer: 37

Correct? No

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

Mixtral 8x22B:

 Reasoning: A regular polygon has all sides of equal length.
The perimeter of a polygon is the sum of the lengths of all its sides.
The length of each side of the 11-sided regular polygon is 858m/11 = <<858/11=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular decagon has 10 sides of equal length.
The perimeter of a regular decagon is the sum of the lengths of all its sides.
Therefore, the length of each side is 360m/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?

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The length of each side is 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.

Mixtral 8x22B:

 Reasoning: A regular polygon has all sides of equal length. To find the length of each side, we divide the perimeter by the number of sides.

Length of each side = Perimeter / Number of sides
= 418m / 11
= <<418/11=38>>38m

### Answer: 38m

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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of all its side lengths.
The sum of the given side lengths is 56m + 73m + 39m + 24m + 26m = <<56+73+39+24+26=218>>218m.
The length of the sixth side is the total perimeter minus the sum of the given side lengths, which is 278m - 218m = <<278-218=60>>60m.
### Answer: 60m

Expected answer: 60

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular pentagon has 5 equal sides.
The perimeter of a regular pentagon is the sum of the lengths of all its sides.
So, the length of each side is the perimeter divided by the number of sides.
The length of each side is 385cm / 5 = <<385/5=77>>77cm.
### Answer: 77cm

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?

Mixtral 8x22B:

 Reasoning: The sum of the ten known sides is 97+93+35+1+27+86+68+96+45+61 = <<97+93+35+1+27+86+68+96+45+61=615>>615m.
The perimeter of the polygon is 663m, so the length of the unknown eleventh side is 663-615 = <<663-615=48>>48m.
### Answer: 48m

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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the decagon is the sum of the lengths of all ten sides. We know the lengths of nine of the sides, so we can find the length of the tenth side by subtracting the sum of the known side lengths from the total perimeter.

The sum of the known side lengths is 54m + 49m + 85m + 48m + 85m + 19m + 94m + 44m + 54m = <<54+49+85+48+85+19+94+44+54=532>>532m.

The length of the tenth side is the total perimeter minus the sum of the known side lengths, which is 575m - 532m = <<575-532=43>>43m.

### Answer: 43m

Expected answer: 43

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 equal sides.
The perimeter of a regular octagon is the sum of the lengths of all its sides.
The length of each side is the perimeter divided 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?

Mixtral 8x22B:

 Reasoning: A regular pentagon has 5 equal sides.
The length of each side is 390m/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.

Mixtral 8x22B:

 Reasoning: The perimeter of a decagon is the sum of the lengths of all its sides. We know the lengths of nine of the sides and the total perimeter, so we can find the length of the tenth side by subtracting the sum of the known side lengths from the total perimeter.

Sum of known side lengths = 6m + 85m + 83m + 73m + 25m + 66m + 54m + 87m + 21m = <<6+85+83+73+25+66+54+87+21=500>>500m

Total perimeter = 522m

Length of tenth side = Total perimeter - Sum of known side lengths = 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?

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 sides of equal length.
The perimeter of a regular octagon is the sum of the lengths of all its sides.
Therefore, the length of each side is 408m/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?

Mixtral 8x22B:

 Reasoning: An octagon has 8 sides.
The perimeter of the octagon is the sum of the lengths of all its sides.
The length of each side is the perimeter divided by the number of sides.
The length of each side is 696m/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?

Mixtral 8x22B:

 Reasoning: An octagon has 8 sides.
The length of each side is 744m/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?

Mixtral 8x22B:

 Reasoning: A regular nonagon has 9 equal sides.
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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the nonagon is the sum of all its side lengths.
The known side lengths add up to 30+18+68+23+72+57+33+19 = <<30+18+68+23+72+57+33+19=340>>340cm.
The length of the unknown ninth side is the total perimeter minus the sum of the known side lengths, which is 350-340 = <<350-340=10>>10cm.
### Answer: 10cm

Expected answer: 30

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the nonagon is the sum of all its side lengths.
Let x be the length of the ninth side.
The total perimeter is 188m, so we have:
19m + 7m + 10m + 16m + 32m + 15m + 70m + x = 188m
Solving for x, we get:
x = 188m - (19m + 7m + 10m + 16m + 32m + 15m + 70m)
x = 188m - 169m
x = 19m
### Answer: 19m

Expected answer: 19

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of the lengths of all its sides.
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?

Mixtral 8x22B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 equal sides, the length of each side can be found 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?

Mixtral 8x22B:

 Reasoning: A regular pentagon has 5 equal sides.
The perimeter of a regular pentagon is the sum of the lengths of all its sides.
The length of each side is the perimeter divided by the number of sides.
The length of each side is 50m/5 = <<50m/5=10m>>10m.
### Answer: 10m

Expected answer: 10

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular nonagon has 9 sides of equal length.
The perimeter of a regular nonagon is the sum of the lengths of all its sides.
Therefore, 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?

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of the lengths of all its sides.
Therefore, the length of one side of the hexagon is 354m/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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of all its side lengths. We know the lengths of seven sides and the total perimeter, so we can find the length of the last unknown side by subtracting the sum of the known side lengths from the total perimeter.

The sum of the known side lengths is 59m + 16m + 15m + 35m + 89m + 16m + 43m = <<59+16+15+35+89+16+43=273>>273m.

The length of the last unknown side is the total perimeter minus the sum of the known side lengths, which is 286m - 273m = <<286-273=13>>13m.

### Answer: 13m

Expected answer: 6

Correct? No

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

Mixtral 8x22B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 equal sides, the length of each side can be found by dividing the perimeter by 7.

Length of each side = Perimeter / Number of sides
= 616m / 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?

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of the lengths of all its sides.
So, 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?

Mixtral 8x22B:

 Reasoning: The total length of the 11 measured 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 the total perimeter minus the total length of the 11 measured sides, which is 492-462 = <<492-462=30>>30cm.
### Answer: 30cm

Expected answer: 30

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The length of each side is 306m/6 = <<306m/6=51m>>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?

Mixtral 8x22B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since all sides of a regular heptagon 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
= 238 meters / 7
= <<238/7=34>>34 meters

### Answer: 34 meters

Expected answer: 34

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The length of each side is 42m/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?

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 equal sides.
The perimeter of the octagon is the sum of the lengths of all its sides.
Therefore, the length of each side of the octagon is 624m/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?

Mixtral 8x22B:

 Reasoning: The sum of the lengths of the nine sides is 17m + 13m + 61m + 16m + 11m + 83m + 28m + 48m + 93m = <<17+13+61+16+11+83+28+48+93=470>>470 meters.
The total perimeter of the polygon is 468 meters, so the length of the tenth side must be 470m - 468m = <<470-468=2>>2 meters.
### Answer: 2 meters

Expected answer: 98

Correct? No

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

Mixtral 8x22B:

 Reasoning: A regular pentagon has 5 equal sides.
The length of each side is 380m/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?

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 sides, so to find the length of one side, we divide the perimeter by 8.
104cm / 8 = <<104/8=13>>13cm
### Answer: 13cm

Expected answer: 13

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 equal sides, the length of each side can be found by dividing the perimeter by 7.

Length of each side = Perimeter / Number of sides
= 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?

Mixtral 8x22B:

 Reasoning: A regular pentagon has 5 equal sides.
The perimeter of a regular pentagon is the sum of the lengths of all its sides.
The length of each side is the perimeter divided by the number of sides.
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?

Mixtral 8x22B:

 Reasoning: The perimeter of a pentagon is the sum of the lengths of all its sides.
Let x be the length of the fifth side.
Then, 45+93+36+22+x = 223
Solving for x, we get x = 223 - (45+93+36+22) = <<223-(45+93+36+22)=27>>27cm
### Answer: 27cm

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?

Mixtral 8x22B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides.
The sum of the known sides is 75+81+22+94+91+10 = <<75+81+22+94+91+10=373>>373cm.
The length of the last unknown side is the perimeter minus the sum of the known sides, which is 423-373 = <<423-373=50>>50cm.
### Answer: 50cm

Expected answer: 50

Correct? Yes

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

Mixtral 8x22B:

 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 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?

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 equal sides.
The perimeter of a regular octagon is the sum of the lengths of all its sides.
Therefore, 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?

Mixtral 8x22B:

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

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of the lengths of all its sides.
The length of each side is the perimeter divided by the number of sides.
The length of each side is 96m/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.

Mixtral 8x22B:

 Reasoning: The total perimeter of the nonagon is the sum of the lengths of all its sides.
Let x be the length of the ninth side.
The total perimeter is 402m = 50m + 31m + 24m + 28m + 13m + 97m + 63m + 88m + x
Solving for x, we get x = 402m - (50m + 31m + 24m + 28m + 13m + 97m + 63m + 88m)
x = 402m - 404m
x = -2m
Since the length of a side cannot be negative, this means that there is an error in the given information.
### Answer: There is an error in the given information.

Expected answer: 8

Correct? No

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

Mixtral 8x22B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 equal sides, the length of each side can be found by dividing the perimeter by 7.

Length of each side = Perimeter / Number of sides
= 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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of all its sides.
Let x be the length of the remaining side.
The total perimeter is 358 meters, so we have:
89 + 2 + 10 + 48 + 94 + 59 + x = 358
Simplifying, we get:
202 + x = 358
Subtracting 202 from both sides, we get:
x = 358 - 202
x = 156
### Answer: 156 meters

Expected answer: 56

Correct? No

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

Mixtral 8x22B:

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

Expected answer: 62

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 sides of equal length.
The perimeter of a regular octagon is the sum of the lengths of all its sides.
Therefore, the length of each side is 800m/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?

Mixtral 8x22B:

 Reasoning: A regular nonagon has 9 sides of equal length.
The perimeter of the nonagon is the sum of the lengths of all its sides.
Therefore, 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?

Mixtral 8x22B:

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

Expected answer: 95

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular heptagon has 7 sides of equal length.
The perimeter of a regular heptagon is the sum of the lengths of its sides.
The length of one side of the heptagon is the perimeter divided by the number of sides.
The length of one side of the heptagon is 504/7 = <<504/7=72>>72 meters.
### Answer: 72 meters

Expected answer: 72

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular nonagon has 9 sides of equal length.
The perimeter of a regular nonagon is the sum of the lengths of all its sides.
Therefore, the length of each side is 657m/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?

Mixtral 8x22B:

 Reasoning: A regular octagon has 8 equal sides.
The length of 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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of all its side lengths. We know the lengths of seven sides and the total perimeter, so we can find the length of the remaining side by subtracting the sum of the known side lengths from the total perimeter.

Sum of known side lengths = 28m + 37m + 51m + 84m + 54m + 31m + 94m = <<28+37+51+84+54+31+94=379>>379m

Length of the remaining side = Total perimeter - Sum of known side lengths = 399m - 379m = <<399-379=20>>20m

### Answer: 20m

Expected answer: 8

Correct? No

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

Mixtral 8x22B:

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

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of all its side lengths.
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 the total perimeter minus the sum of the given side lengths, which is 330 - 261 = <<330-261=69>>69 m.
### Answer: 69 m

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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the decagon is the sum of all its side lengths.
Let x be the length of the tenth side.
The total perimeter is 88+96+74+52+45+74+85+85+43+x = 682
Solving for x, we get x = 682 - (88+96+74+52+45+74+85+85+43) = <<682-(88+96+74+52+45+74+85+85+43)=18>>18m
### Answer: 18m

Expected answer: 40

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Since all sides of the regular septagon are equal, 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 = 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?

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of the lengths of all its sides.
So, the length of each side is 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?

Mixtral 8x22B:

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

Expected answer: 77

Correct? Yes

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

Mixtral 8x22B:

 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 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?

Mixtral 8x22B:

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

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.

Mixtral 8x22B:

 Reasoning: The perimeter of a regular hexagon is the sum of the lengths of all its sides. Since the hexagon is regular, all its sides are equal in length.
Let the length of the sixth side be x meters.
The total perimeter of the hexagon is 380m, so we have:
9m + 49m + 100m + 73m + 84m + x = 380m
Simplifying, we get:
215m + x = 380m
Subtracting 215m from both sides, we get:
x = 380m - 215m
x = 165m
Therefore, the length of the sixth side is 165m.
### Answer: 165m

Expected answer: 65

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of all its sides. The given perimeter is 419m, and the lengths of six of the sides are given. To find the length of the missing side, we can subtract the sum of the given side lengths from the total perimeter.

Sum of given side lengths = 23m + 67m + 57m + 94m + 93m + 18m = 352m

Length of missing side = Total perimeter - Sum of given side lengths = 419m - 352m = <<419-352=67>>67m

### Answer: 67m

Expected answer: 37

Correct? No

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

Mixtral 8x22B:

 Reasoning: The perimeter of a regular heptagon is the sum of the lengths of all its sides. Since a regular heptagon has 7 equal sides, the length of each side can be found 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?

Mixtral 8x22B:

 Reasoning: A regular pentagon has 5 equal sides.
The perimeter of a regular pentagon is the sum of the lengths of all its sides.
The length of each side is the perimeter divided by the number of sides.
The length of each side is 55m/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?

Mixtral 8x22B:

 Reasoning: A regular nonagon has nine equal sides.
The perimeter of a polygon is the sum of the lengths of all its sides.
Therefore, each side of the nonagon is 657/9 = <<657/9=73>>73 meters long.
### Answer: 73 meters

Expected answer: 73

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular hexagon has 6 equal sides.
The perimeter of a regular hexagon is the sum of the lengths of all its sides.
So, the length of each side is 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?

Mixtral 8x22B:

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

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?

Mixtral 8x22B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides.
The sum of the given side lengths is 39m + 26m + 47m + 52m + 66m + 17m + 34m = <<39+26+47+52+66+17+34=281>>281m.
The overall perimeter of the polygon is 356m, so the length of the last side is 356m - 281m = <<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?

Mixtral 8x22B:

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

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?

Mixtral 8x22B:

 Reasoning: The perimeter of a decagon is the sum of the lengths of all its sides. We know the lengths of eight of the sides, so we can find the length of the ninth side by subtracting the sum of the known side lengths from the total perimeter.

The sum of the known side lengths is 24m + 25m + 75m + 38m + 18m + 42m + 61m = <<24+25+75+38+18+42+61=293>>293m.

The length of the ninth side is the total perimeter minus the sum of the known side lengths, which is 359m - 293m = <<359-293=66>>66m.

### Answer: 66m

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?

Mixtral 8x22B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides.
The total perimeter of the nonagon is 368m.
The sum of the lengths of the eight known sides is 52m + 52m + 44m + 53m + 41m + 91m + 25m + 2m = 360m.
The length of the final side is the total perimeter minus the sum of the lengths of the eight known sides, which is 368m - 360m = <<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?

Mixtral 8x22B:

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

Expected answer: 74

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: A regular heptagon has 7 sides of equal length.
The perimeter of a regular heptagon is the sum of the lengths of all its sides.
Therefore, 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?

Mixtral 8x22B:

 Reasoning: A regular decagon has 10 equal sides.
The perimeter of a regular decagon is the sum of the lengths of all its sides.
Therefore, the length of each side is 140m/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?

Mixtral 8x22B:

 Reasoning: The total 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=655>>655cm.
Since the total perimeter of the polygon is 655cm, the length of the 11th side must be 0cm.
### Answer: 0cm

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?

Mixtral 8x22B:

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

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.

Mixtral 8x22B:

 Reasoning: The perimeter of a pentagon is the sum of all its side lengths.
Let the length of the fifth side be x meters.
The total perimeter is 22m + 14m + 93m + 75m + x = 234m.
Solving for x, we get x = 234m - (22m + 14m + 93m + 75m) = <<234-(22+14+93+75)=234-204=30>>30m.
### Answer: 30m

Expected answer: 30

Correct? Yes