Question

a composite figure contains a rectangle and a triangle as shown below .which of the following describes the area of the composite figure ?.

Answer 1

The area of the composite figure is the addition of the area of its parts; in this case the area of the rectangle and the area of the triangle. Then the total area is:

`A=A_T+A_R`

The area of the triangle is:

`\begin{gathered} A_T=(1)/(2)bh \\ =(1)/(2)(20)(3) \\ =30 \end{gathered}`

The area of the rectangle is:

`\begin{gathered} A_R=wl \\ =5.8(20) \\ =116 \end{gathered}`

Therefore the area of the figure is 146 sq ft.