Question

tom wants to paint a rectangular wall that measures 16 feet by 9 feet. the wall contains a window with the dimensions shown. if tom does not paint the window, what is the total shaded area he will paint? 144 square feet 134 square feet 140 square feet 130 square feet

Explanation:

Step1: Calculate the area of the large rectangle

The area formula for a rectangle is \(A = length\times width\). For the large rectangle with length \(l = 16\) feet and width \(w = 9\) feet, \(A_{large}=16\times9 = 144\) square feet.

Step2: Calculate the area of the small rectangle (window)

For the small rectangle (window) with length \(l = 6\) feet and width \(w = 4\) feet, using the formula \(A = length\times width\), \(A_{small}=6\times4=24\) square feet.

Step3: Calculate the area to be painted

Subtract the area of the window from the area of the large rectangle. \(A = A_{large}-A_{small}\). So \(A=144 - 24=120\) square feet.

Answer:

120 square feet