To calculate the number of tiles Mitch will need to completely tile the shower, we need to consider the dimensions of the shower and the tiles.
The shower height is 10 ft, which is equivalent to 120 inches. The sections of the shower are 3 ft (36 inches), 6 ft (72 inches), and 3 ft (36 inches) long.
The tile height is 4 inches, and the tile length is 8 inches.
To find the number of tiles needed, we divide the total shower height and length by the tile height and length, respectively.
For the shower height, we have:
Total tile height = Shower height / Tile height
Total tile height = 120 inches / 4 inches
Total tile height = 30 tiles (rounded to the nearest whole number)
For the shower length, we have:
Total tile length = Shower length / Tile length
Total tile length = (36 inches + 72 inches + 36 inches) / 8 inches
Total tile length = 144 inches / 8 inches
Total tile length = 18 tiles (rounded to the nearest whole number)
To find the total number of tiles needed, we multiply the number of tiles required for height and length:
Total number of tiles = Total tile height * Total tile length
Total number of tiles = 30 tiles * 18 tiles
Total number of tiles = 540 tiles
Therefore, the number of tiles Mitch will need to completely tile the shower is approximately 540 tiles.
The closest option provided is:
b. 551 tiles.