The area of the wall that she paints = 276 sq. ft.
"The area of the rectangle is [tex]A=l\times w[/tex], where l is the length and w is the width."
For given question,
Pat needs to paint an 8 ft x 36 ft wall with a window opening of 3 ft x 4 ft.
From dimensions of the wall and window we can say that both are rectangular in shape.
So, the area of the entire wall would be the area of the rectangle.
Let A1 be the area of the wall.
For length (l) = 36 ft. and width (w) = 8 ft.
Using the formula for the area of the rectangle,
⇒ A1 = 36 × 8
⇒ A1 = 288 sq. ft.
Let A2 be the area of the window.
For length (l) = 4 ft. and width (w) = 3 ft.
Using the formula for the area of the rectangle,
⇒ A2 = 4 × 3
⇒ A2 = 12 sq. ft.
Pat needs to paint an 8 ft x 36 ft wall with a window opening of 3 ft x 4 ft.
Let 'A' be the area that Pat paints.
⇒ A = A1 - A2
⇒ A = 288 - 12
⇒ A = 276 sq. ft.
Therefore, the area of the wall that she paints = 276 sq. ft.
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