Question

a tile setter is covering a 5ft by 5ft square showerwall with tiles that cover 4 5/8 icnhes by 4 5/8 inches. how many tiles will the setter need to cover the 5ft by 5ft wall.

Answer 1

Therefore, the number of 4 5/8 inches by 4 5/8 inches tiles that will be needed by the setter to cover the 5ft by 5ft wall is 169 tiles.

Explanation:

Answer 2

Recall that there are 12 inches in 1 ft.

Dimensions of the wall to be tilled in inches is given by 5 x 12 inches by 5 x 12 inches = 60 inches by 60 inches.

Area of wall to be covered by tiles in square inches = 60 x 60 = 3,600 square inches.

Area of each tile is given by


`4 (5)/(8) *4 (5)/(8) = (37)/(8) * (37)/(8) \\ \\ = (1369)/(64) =21.390625 \ square \ inches`

Number of tiles needed is given by:


`(3,600 \ square \ inches)/(21.390625 \ square \ inches) =168.3`

Therefore, the number of 4 5/8 icnhes by 4 5/8 inches tiles that will be needed by the setter to cover the 5ft by 5ft wall is 169 tiles.