Joe's bathroom floor is 5ft wide and 8ft long. he will cover the floor with 3in square tiles. how many tiles does joe need?

Question

Genesis Allen · Accepted Answer

1920 tiles.

The floor's area can be calculated by multiplying its length by its width. #5ft * 8ft = 40ft^2# Given the floor's area, we need to find out how many #3"in"^2# tiles can go into it. One square foot is equal to 144 square inches. #40ft^2 * (144"in"^2)/(1ft^2) = 5760"in"^2# We can easily use division to determine the required number of tiles now that we are aware of the area in the same term as the tile being used to cover it. #5760cancel("in"^2) * "1tile"/(3cancel("in"^2)) = "5760tile"/3 = 1920"tile"#

Isaiah Anthony · Answer

undefined To determine the number of tiles Joe needs, first convert the dimensions of the bathroom floor from feet to inches: $ 5 \text{ ft} \times 12 \text{ in/ft} = 60 \text{ in} $ wide, and $ 8 \text{ ft} \times 12 \text{ in/ft} = 96 \text{ in} $ long.

Next, calculate the area of one tile: $ 3 \text{ in} \times 3 \text{ in} = 9 \text{ square inches} $.

Finally, divide the total area of the floor by the area of one tile to find the number of tiles needed:

$$
\frac{60 \text{ in} \times 96 \text{ in}}{9 \text{ square inches/tile}} = 640 \text{ tiles}
$$

Joe needs 640 tiles to cover his bathroom floor.