Question

Find the area of a regular octagon with perimeter of 88 in

Answer 1

584.24 inches squared

Explanation:

The regular octagon has 8 sides which are all equal. Since the perimeter, the distance all around is 88, divide 88 by 8. This gives 11 inches as the side length.

The formula is
`A = 2(1+√(2)) a^2\\A = 2(1+√(2)) 11^2\\A = 2(1 + √(2)) * 121\\A = 584.24`