Question

An octagon has a side length of 18 feet and an area of 806.4ft^2. find the area of a smaller octagon that has a side length of 15

Answer 1

Given side length is 15 feet

Area of octagon is:

$A=2(1+\sqrt[]{2})a^2$

Where

a = side length

so the area of this octagon is:

$\begin{gathered} A=2(1+\sqrt[]{2})a^2 \\ =2(1+\sqrt[]{2})15^2 \\ =2\times(15)^2\times(1+\sqrt[]{2}) \\ =450(1+\sqrt[]{2}) \\ =1086.39 \end{gathered}$