Question

For a regular pentagon, the area is 336 mm^2 and the apothem is 9.6 mm. Find the side length, in millimeters of the pentagon. Round your answer to the nearest whole number​

Answer 1

Explanation:

The area of a pentagon = a * p / 2

Area = 336 mm^2

a = 9.6 mm

336 = 1/2 * 9.6 * p Multiply by 2

672 = 9.6 p Divide by 9.6

672/9.6 = 9.6 * p / 9.6

70 = p

A pentagon has 5 sides

s = p / # sides

s = 70 / 5

s = 14