Chapter 5.6, Problem 17E

Pool Tile Cost Mamadou put a rectangular pool in his yard, which is 50 feet by 30 feet.

There is a slate tile area $5\frac{1}{2}$ feet wide around the entire perimeter of the pool. The pool and the tile area take up the entire 50-foot by 30-foot yard.

a. What are the dimensions of the pool?

b. How much will it cost to put a row of slate tile around the edge of the pool if the tile costs $\$2\frac{1}{2}$ per linear foot?