Question

Carlita has a swimming pool in her backyard that is rectangular with a length of 26 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 tohave a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.O 40 + 4C + 4w0 80 + 8c + 8w0 364 + 66 + 2wO 72 + 8c + 8w

Answer 1

From the statement of the problem, we know that Carlita:

• has a swimming pool with a length of 26ft and a width of 14ft,

,

• she will surround the swimming pool with a concrete walkway of width c,

,

• and she wants to have a wood deck that extends w feet on all sides.

Using the data of the problem, we make the following draw:

So we have a rectangle of:

• length = 26 + 2c + 2w,

,

• width = 14 + 2c + 2w.

The perimeter of the rectangle is twice the length plus twice the width:

`P=2\cdot(26+2c+2w)+2\cdot(14+2c+2w)=80+8c+8w\text{.}`

Answer

80 + 8c + 8w