Question

1ft8ft9ft4ftRectangle is removed from a right triangle to create the shaded region shown below find the area of the shaded region be sure to include the correct unit in your answer

Answer 1

Given that,

Rectangle is removed from a right triangle to create the shaded region

To find the area of the shaded region.

Area of the shaded region is

`=\text{Area of the right triangle}-\text{Area of the rectangle}`

Base of the right triangle is 8 ft

Height of the right triangle is 9 ft

Area of the right triangle is,

`\begin{gathered} =(1)/(2)* base* height \\ =(1)/(2)*8*9=36ft^2 \end{gathered}`

Area of the rectangle is,

`=\text{length}* height`
`=4*1=4ft^2`

Area of the shaded region is,

`\begin{gathered} =(36-4)ft^2 \\ =32ft^2 \end{gathered}`

Area of the shaded region is 32 ft^2.