Question

at is the area, in square feet, of the shaded part of the rectangle below

Explanation:

Step1: Calculate the area of the rectangle

The area formula of a rectangle is \(A = length\times width\). Here, \(length = 19\) ft and \(width=11\) ft. So, \(A_{rectangle}=19\times11 = 209\) square - feet.

Step2: Calculate the area of the un - shaded triangle

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

Step3: Calculate the area of the shaded region

The area of the shaded region \(A = A_{rectangle}-A_{triangle}\). Substitute the values: \(A = 209-49.5=159.5\) square - feet.

Answer:

\(159.5\) square feet