To determine the perimeter of a regular octagon, we need to understand the properties of the shape. A regular octagon has eight equal sides. Therefore, the perimeter of a regular octagon is simply 8 times the length of one side.
Given that the water wheel is designed in the shape of a regular octagon, let's denote the length of one side of the octagon as [tex]\(a\)[/tex]. The formula for the perimeter [tex]\(P\)[/tex] of a regular octagon can be expressed as:
[tex]\[ P = 8 \times a \][/tex]
However, we need to specifically address the units provided in the possible answers. The most straightforward interpretation without further information on the exact side length leads us to analyze the options given.
Among the given choices:
- A. 8 ft
- B. onf (not a correct mathematical term)
- C. [tex]\(\sqrt{10} f\)[/tex] (not typically related to a regular octagon's perimeter without further context)
- D. [tex]\(8 \sqrt{10} f\)[/tex] (also an unlikely match without further specifics)
Given the available choices and the understanding that a "regular octagon" implies equal side lengths multiplied by 8, the perimeter that makes the most intuitive sense based on simplicity and the given options is:
A. 8 ft
Thus, the correct answer is:
A. 8 ft
