Question

The figure below is a regular octagon with a side length of 8 inches.

8 inches
To the nearest square inch, what is the area of the figure?
309
118
64
49

Answer 1

309in²

Explanation:

Area of an octagon is expressed as;

A=2(1+√2)a²

a is the side length of the octagon

Given

a = 8

Substitute into the formula

A = 2(1+√2)(8)²

A = 2(1+√2)(64)

Expand

A = 2(64+64√2)

A = 128+128√2

A = 128+128(1.414)

A = 128+181.01

A = 309in²

Hence the area of the octagon is 309in²