Question

A regular pentagon has an apothem of 3.2 and an area of 37.2 m. What

is the length of one side of the pentagon

Answer 1

4.65m

Explanation:

Answer 2

The area of any regular polygon can be expressed as:

(ns^2)/(4tan(180/n)) where n is number of sides and s is a side length (no apothem needed :D)

37.2=5s^2/(4tan36)

s^2=(148.8tan36)/5

s≈4.65m