Question

Carlita has a swimming pool in her backyard that is rectangular with a length of 24 feet and a width of 14 feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.

Answer 1

(d) 76 +8c +8w

Explanation:

You want the perimeter of a wood deck if it has width w and is situated outside a concrete walk of width c around a pool that is 24 ft by 14 ft.

Side lengths

The length of one side of the deck is ...

L = 24 +2c +2w

The width of one side of the deck is ...

W = 14 +2c +2w

Perimeter

The perimeter is found using the formula ...

P = 2(L+W)

P = 2((24 +2c +2w) +(14 +2c +2w))

P = 2(38 +4c +4w)

P = 76 +8c +8w

An expression for the perimeter of the wood deck is 76 +8c +8w.

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