Question

A gazebo is shaped like a regular octagon It has sides of length 12 feet and an area of 696 square feet. Find the area of a gazebo that has a side length of 8 feet. Round to the nearest tenth

Answer 1

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:

`\begin{gathered} A=2\cdot L^2\cdot(\sin(67.5))/(\sin(22.5)) \\ A=2\cdot(8ft)^2\cdot(\sin(67.5))/(\sin(22.5)) \\ A\approx309.0ft^2 \end{gathered}`

According with this, we can see that the correct answer is the first answer choice.