You are remodeling your bathroom and decide to install a tile floor. The bathroom is in the shape of a rectangle, and the floor measures 14 feet 8 inches long b

Question

You are remodeling your bathroom and decide to install a tile floor. The bathroom is in the shape of a rectangle, and the floor measures 14 feet 8 inches long by 5 feet 6 inches wide. The tiles you want to use cost $5 each, and each tile covers 4\frac{2}{3} 4 2 3 square feet. The hardware store will only sell tiles in whole units. For example, you cannot buy one-half of a tile.

How much money will you spend on this project?
You Answered

Answer 1

each tile covers 4\frac{2}{3} 4 2 3 square feet ???

What is this?  Is it 4 2/3 ft² per tile?

 

14 ft 8 inches:

8 inches = 8/12 of a foot = 2/3 of a foot

So length is 14 2/3 ft

 

5 ft 6 inches = 5 1/2 ft

 

Floor area:  (14 2/3)(5 1/2) = (44/3)(11/2) = 22(11)/3 = 242/3 ft² of floor area

 

Divide the total floor area by the area covered by each tile to get the number

of tiles needed.  If there is any fraction, round up to next whole number.

Multiply that number by the cost per tile.

 

If the area per tile is 4 2/3 ft² then:

(242/3)/(4 2/3) = (242/3)/(14/3) = (242/3)(3/14) = 242/14 = 17.3 tiles.

Rounded up we need 18 tiles.

 

18(5) = $90