Question

what is the area, in square feet, of the shaded part of the rectangle below? 19 ft 10 ft 11 ft answer attempt 1 out of 100 $a=\text{ }ft^{2}$ submit answer

Explanation:

Step1: Find the area of the rectangle

The area formula for a rectangle is $A = l\times w$, where $l = 19$ ft and $w=11$ ft. So, $A_{rectangle}=19\times11 = 209$ square - feet.

Step2: Find the area of the non - shaded triangle

The area formula for a triangle is $A=\frac{1}{2}\times b\times h$, where $b = 11$ ft and $h=(19 - 10)=9$ ft. So, $A_{triangle}=\frac{1}{2}\times11\times9=\frac{99}{2}=49.5$ square - feet.

Step3: Find the area of the shaded part

Subtract the area of the triangle from the area of the rectangle. $A_{shaded}=A_{rectangle}-A_{triangle}=209 - 49.5 = 159.5$ square - feet.

Answer:

$159.5$