Select the correct answer.

A water wheel is designed in the shape of a regular octagon. What is the perimeter of the water wheel?

A. 8 ft
B. [tex]$8 \sqrt{10}$[/tex] ft
C. [tex]$\sqrt{10}$[/tex] ft
D. 80 ft



Answer :

To determine the perimeter of a regular octagon, we need to know the length of one of its sides.

In this case, each side of the regular octagon is 8 feet long.

Since an octagon has 8 sides, the perimeter [tex]\( P \)[/tex] of the octagon is calculated by multiplying the length of one side by the number of sides.

[tex]\[ P = 8 \times \text{side length} \][/tex]

Plugging in the given side length:

[tex]\[ P = 8 \times 8 \text{ ft} = 64 \text{ ft} \][/tex]

Thus, the perimeter of the water wheel is 64 feet.

Therefore, the correct answer is not listed in the options given. The correct perimeter should be 64 feet.