Okay, here we have this:
Considering the provided information, we are going to find the area of the regular octagon, replacing in the following formula of the octagon area:
[tex]\begin{gathered} A=2\cdot L^2\cdot\frac{\sin(67.5)}{\sin(22.5)} \\ A=2\cdot(8ft)^2\cdot\frac{\sin(67.5)}{\sin(22.5)} \\ A\approx309.0ft^2 \end{gathered}[/tex]
According with this, we can see that the correct answer is the first answer choice.
