Answer:
A = 16803.2 in^2
Step-by-step explanation:
The area of a regular polygon is [tex]A=\frac{1}{2}(a)\cdot{P}[/tex], where a is apothem and P is the perimeter.
Given side length s = 59 in, and the knowledge that this is an octagon (8 sides): P = 8s.
- Substitute the value of s into the equation: [tex]P=8(59)=472[/tex]
Now substitute all known values into the area formula: [tex]A=\frac{1}{2}(71.2)\cdot{472}[/tex]
- Simplify: [tex]A=16803.2[/tex]
