Question

The Turners want to carpet the cement around their rectangular pool. The dimensions for the rectangular area formed by the pool and its cement walkways are 20 ft by 30 ft. The pool is 12 ft by 24 ft. Carpet is sold only by the square foot. If the carpet costs $1.95 per square foot, what will be the total cost of the carpet?

Answer 1

$608.40

Explanation:

Dimensions of pool: 12 ft by 24 ft

Dimensions of pool & cement walkways: 20 ft by 30 ft

The pool is a rectangle that sits inside the walkways. The area of the walkways (AW) is the area of the pool & walkways (the 20 ft by 30 ft rectangle) minus the area of the the pool (the 12 ft by 24 ft rectangle). Once we know the area of the just the walkways (AW), we multiply it by the price of the carpet too find the cost of the carpet.

area of walkways = area of pool & walkways - area of pool

AW = 20 ft * 30 ft - 12 ft * 24 ft

AW = 600 ft^2 - 288 ft^2

AW = 312 ft^2

The area of the walkways alone is 312 ft^2. Now we multiply it by the unit cost of carpet to find the cost of the carpet needed for the walkways.

cost = AW * unit rate

cost = 312 ft^2 * $1.95/ft^2

cost = $608.40

Answer 2

$1,170

Explanation:

Area around the pool = 20 x 30

Pool = 12 x 24

Carpet is sold $1.95 by square foot

Use formula A = bh

Plug it in: A = 20 x 30

So they need 600 sq ft of carpet.

Multiply 600 by 1.95 to get 1170

The total cost = $1,170