Find the area of the regular polygon with the given apothem a and side length s.

Question

​octagon, aequals72.4 ​in, sequals60 in
Question content area bottom
Part 1
The area is
A.
​17,376 in squared
B.
​34,752 in squared
C.
​2,172 in squared
D.
​4,344 in squared

Answer 1

To find the area of a regular polygon, we can use the formula:

Area = 1/2 * Perimeter * Apothem

First, let's find the perimeter of the octagon:

Perimeter = 8 * side length = 8 * 60 = 480 inches

Now, we can plug in the values and calculate the area:

Area = 1/2 * 480 * 72.4 = 17,376 in²

Therefore, the correct answer is A. 17,376 in².