Question

A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.

What is the area of the octagon, rounded to the nearest square inch?

Answer 1

Answer: 331.5 inches²

Explanation:

To solve for the area of a regular octagon, we can use the formula that is shown below:

Area = 1/2 × apothem × perimeter

In this problem, we have been given the following values:

Apothem = 10 inches

Perimeter = 66.3 inches

To solve for the area,

Area = 1/2 × apothem × perimeter

Area = 1/2 × 10 × 66.3

Area = 331.5 inches²