Question

A rectangle 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

See below.

Explanation:

Length * width

4 * 3 = 12 ft
`^2`

Answer 2

24 square feet

Explanation:

Area = area of triangle - area of rectangle

`Area \ of \ triangle = (1)/(2) * base * height =(1)/(2) *(4 +5) * (5+3) = 9 * 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length * Breadth = 3 * 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2`