Question

A regular octagon has an apothem of approximately 7.8 ft and a perimeter of approximately 52.0 ft. Find the area of the octagon

Answer 1

The area of the octagon is
`A=202.8\ ft^2`

Explanation:

we know that

The area of a regular polygon is equal to

`A=(1)/(2)Pa`

where

P is the perimeter of the regular polygon

a is the apothem

we have

`P=52.0\ ft\\a=7.8\ ft`

substitute

`A=(1)/(2)(52)(7.8)`

`A=202.8\ ft^2`