SOLUTION: A regular heptagon has an apothem that is 3 inches in length. One of the sides has a length of 7 inches. What is the area of the heptagon?
A. 71.25 square inches
B. 73.5 square
Algebra ->
Rectangles
-> SOLUTION: A regular heptagon has an apothem that is 3 inches in length. One of the sides has a length of 7 inches. What is the area of the heptagon?
A. 71.25 square inches
B. 73.5 square
Log On
Question 1054063: A regular heptagon has an apothem that is 3 inches in length. One of the sides has a length of 7 inches. What is the area of the heptagon?
A. 71.25 square inches
B. 73.5 square inches
C. 65.3 square inches
D. 67.1 square inches Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! The area of a regular polygon is:
area = (1/2)(apothem)(perimeter)
A heptagon has 7 sides, thus:
7sides times 7 inches each side = 7*7 = 49 is the perimeter. Now back to the formula:
(1/2)(3)(49) = (1/2)(137) = 68.5 is the area of your heptagon
:
John
