69.8k views
0 votes
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

User Rurp
by
8.2k points

2 Answers

5 votes

Answer:

4.65m

Explanation:

User Jasongonzales
by
8.3k points
3 votes
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
User Santeri Sarle
by
8.7k points

Related questions