Question

The perimeter of a regular pentagon is 41.5cm. Write and solve an equation to determine the length of each side of the pentagon.

Answer 1

The length of each side of the pentagon is 8.3 cm

Explanation:

we know that

A regular pentagon has five equal sides

The perimeter of a regular pentagon is equal to

`P=5x`

where

x is the length side of each side

we have

`P=41.5\ cm`

substitute

`41.5=5x`

Solve for x

Divide by 5 both sides

`x=41.5/5`

`x=8.3\ cm`