Question

Hi, I need to send you a picture of the drawing, dealing with finding the area

Answer 1

Determine the area of square.

`\begin{gathered} A_1=20\cdot20 \\ =400 \end{gathered}`

The side of octagon is 8.

Determine the base length or height of a triangle.

`\begin{gathered} 2h=20-8 \\ h=(12)/(2) \\ =6 \end{gathered}`

So height and base of triangle is equal to h = 6 and b = 6 respectively.

Determine the area of 4 triangle.

`\begin{gathered} A_2=4*(1)/(2)\cdot b\cdot h \\ =4*(1)/(2)\cdot6\cdot6 \\ =72 \end{gathered}`

Determine the area of octagon by substract area of 4 triangles from area of square.

`\begin{gathered} A=A_2-A_1 \\ =400-72 \\ =328 \end{gathered}`

Thus area of octahedral room is 328 square feet.