Verified Answer :

Length of each side of a regular octagon = 8 inches
We already know the formula for finding the area of a regular octagon as
Area = 2 (1 + square root 2) (Side)^2
         = 2 (1 + 1.414)
(8)^2
         = 2 (2.414) * 64
         = 308.99 inches ^2
         = 309 inches ^2
So the area of the regular octagon having sides of 8 inches is 309 square inches. This is the easiest method for solving these kind of problems.

Answer:

The area of the regular octagon having sides of 8 inches is 309 square inches.

Step-by-step explanation:

It is given that Length of each side of a regular octagon is 8 inches.

Now,  the formula for finding the area of a regular octagon is:

\({\text}{Area}=2(1+\sqrt{2}){\times}(Side)^2\)

Substituting the given values, we get

\(A=2(1+1.414){\times}(8)^2\)

\(A=2(2.414){\times}64\)

\(A=308.99{in^2\)

\(A\)≈\(309 in^2\)

Thus, the area of the regular octagon having sides of 8 inches is 309 square inches.