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:
[tex]P=2\cdot(26+2c+2w)+2\cdot(14+2c+2w)=80+8c+8w\text{.}[/tex]
Answer
80 + 8c + 8w
