A regular octagon with side lengths of 5.5 inches has an apothem length of 3 inches

What is the area of this figure in square inches

Guest May 4, 2020

#1**+6 **

The area of a regular octagon is given by the formula \(A = 2s^2(1 + \sqrt{2})\), where \(s\) is the side length of the octagon.

We know that \(s = 5.5\text{ in}\), so we just plug in that value into the equation to get:

\(A = 2(5.5^2)(1 + \sqrt{2})\)

\(A = 60.5(1 + \sqrt{2})\)

\(A = 60.5 + 60.5(1.414)\)

\(A = 60.5 + 85.547 = \fbox{$146.047 \text{ in}^2$}\) :D

CentsLord May 4, 2020