Question

2. Find the area of the regular polygon.

Answer 1

Answer:

P = 80

A = 480²

Step-by-step explanation:

To solve for the base we use the Pythagorean Theorem

$13^2-12^2=25\\\sqrt{25} =5$

then we multiply by 2 to get the side length

2x5=10

this is an 8 sided figure with congruent sides so to get the perimeter we multiply 8 and 10

8x10=80 so the perimeter is 80

To find the area of a regular polygon we multiply the apothem (12) and the perimeter (80) and divide by 2

12x80=960

960/2=480

the area is 480²