Question

A regular equal sided octagon is formed by cutting 45-degree right triangles off of the corners of a square of side length d = 30 . what is the area of the resulting octagon?

Answer 1

The diagram below shows the octagon made of 15 right angle triangle cut from a square.

The area of the square is 30×30 = 900 unit squares

The area of half of the square is 900/2 = 450

The area of the octagon is 15×450=6750 unit squares