Your friend claims to have drawn a regular polygon with sides 8 centimeters and a perimeter of 52 centimeters. Use the formula n=Ps to explain why your friend must have made a mistake. If P=52 cm and s=8, then n=528=6.5. Since n is the number of sides of the polygon, n must be a whole number. So the measurement for the perimeter and/or the side length must be incorrect. If s=8, then n=82=64. Since n is equal to the perimeter in a regular polygon, n must be equal to P. So the measurement for the perimeter and/or the side length must be incorrect. If P=52 cm and s=8, then n=8×52=416. Since n is the number of sides of the polygon, n must be less than 10. So the measurement for the perimeter and/or the side length must be incorrect. If P=52 cm and s=8, then n=852≈0.15. Since n is the ratio of the number of sides to the perimeter, n must be equal to 1. So the measurement for the perimeter and/or the side length must be incorrect.