Answer:
192 pieces of tiles will be required.
Explanation:
A customer is tiling a shower's back wall which is in the dimensions of 6' by 4'
This area of the wall is = 6 × 4 square feet = 24 feet²
Customer wants to cover this wall with the tiles measuring 3" by 6" or 3 inches by 6 inches.
Now we will convert these dimensions of the tiles in foot.
Since 12 inches = 1 foot
Therefore, 1 inch =
foot
Dimensions of one tile in foot will be
foot by
foot.
In simplified form, dimensions of the tile is
foot by
foot.
Area of one tile =
square feet
Number of tiles =
![\frac{\text{Area of the wall}}{\text{Area of one tile}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2j964dygtxwdpizb6c4o91yklzkto0tpcd.png)
=
![(24)/((1)/(8))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5g55lq2gyd0n38ox0p7h5xjywrvfrm657x.png)
= 24×8
= 192 tiles
Therefore, 192 pieces of tiles will be required.