Question

question 11 of 25
a regular octagon with sides of length 8 and an apothem of length 9.66 has
an area of ____ square units.

a. 17.66
b. 77.28
c. 618.24
d. 309.12
e. 38.64
f. 73.66

Explanation:

Answer:

D. 309.12

(The formula for the area of a regular polygon is \( A=\frac{1}{2} \times \text{perimeter} \times \text{apothem} \). The perimeter of a regular octagon with side length 8 is \( 8 \times 8 = 64 \). Then \( A=\frac{1}{2} \times 64 \times 9.66 = 32 \times 9.66 = 309.12 \).)