Question

PLEASE HELP!!

To the nearest square unit, what is the area of the regular heptagon shown below?


A. 2772 square units
B. 1572 square units
C. 792 square units
D. 5545 square units

Answer 1

1572 Square Units

Explanation:

First, find the perimeter by multiplying 20.8 * 7 which is 145.6. Then multiply the perimeter with the apothem. After that, you divide by 2.

So, 145.6*21.6/2= 1572.

Answer 2

The formula for a regular polygon, which this one is, is A = 1/2 ap where a is the apothem and p is the perimeter. 20.8 * 7 = 145.6 which is the perimeter, so now just multiply by 21.6 and .5. 145.6 * 21.6 * .5 = 1572.48, or B above.