Question

A regular octagon with sides of length 7 and an apothem of length 10.49 has an area of how many square units

Answer 1

the answer 293.72 square units

Answer 2

The area of the regular octagon is
`293.72\ units^(2)`

Explanation:

we know that

The area of the regular polygon is equal to

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

where

P is the perimeter of the regular polygon

a is the apothem

Find the perimeter P

`P=8(7)=56\ units`

Find the area

`A=(1)/(2)(56)(10.49)=293.72\ units^(2)`