MATH SOLVE

5 months ago

Q:
# 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.

Accepted Solution

A:

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

[tex]4 \frac{5}{8} \times4 \frac{5}{8} = \frac{37}{8} \times \frac{37}{8} \\ \\ = \frac{1369}{64} =21.390625 \ square \ inches[/tex]

Number of tiles needed is given by:

[tex] \frac{3,600 \ square \ inches}{21.390625 \ square \ inches} =168.3[/tex]

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.

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

[tex]4 \frac{5}{8} \times4 \frac{5}{8} = \frac{37}{8} \times \frac{37}{8} \\ \\ = \frac{1369}{64} =21.390625 \ square \ inches[/tex]

Number of tiles needed is given by:

[tex] \frac{3,600 \ square \ inches}{21.390625 \ square \ inches} =168.3[/tex]

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.