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

Answer:

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,

$\begin{gathered} =\frac{1}{2}\times base\times height \\ =\frac{1}{2}\times8\times9=36ft^2 \end{gathered}$

Area of the rectangle is,

$=\text{length}\times height$$=4\times1=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.