Question

Find the area of the regular polygon.

*HINT* - You must solve for the side of the octagon before you can find the area of the figure.

a. What is the Perimeter of the figure?


b. What is the area of the figure?

Answer 1

Answer: 960 unit²

The area of a regular polygon is

A=Pa, where P- perimeter, a- apothem.

I hope this helped you at least a little bit.

Answer 2

• 960 unit²

Explanation:

Area of the regular polygon:

• A = Pa, where P- perimeter, a- apothem

a. Side length is:

• s/2 = √13²-12² = √25 = 5
• s = 10 units

Perimeter is:

• P = 8*10 = 80 units

b. Area is:

• A = 80*12 = 960 unit²