Question

A patio deck in the shape of a parallelogram has three square cutouts for trees to grown through. Each square has a side length of 4 1/2 feet. What area of wood boards is needed to cover the deck while leaving room for the square cutouts?

Answer 1

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.