Question

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

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A = l\times w$, where $l = 10$ ft and $w=11$ ft. So $A_{rectangle}=10\times11 = 110$ square - feet.

Step2: Calculate triangle area

The area formula for a right - triangle is $A=\frac{1}{2}bh$, where $b = 8$ ft and $h = 6$ ft. So $A_{triangle}=\frac{1}{2}\times8\times6=24$ square - feet.

Step3: Calculate shaded area

The shaded area $A_{shaded}$ is the area of the rectangle minus the area of the triangle. So $A_{shaded}=A_{rectangle}-A_{triangle}=110 - 24=86$ square - feet.

Answer:

$86$ square feet