# 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?

May 23, 2018

1920 tiles.

#### Explanation:

The area of the floor is equal to its length multiplied by its width.

$5 f t \cdot 8 f t = 40 f {t}^{2}$

Given the floor's area, we need to find out how many $3 {\text{in}}^{2}$ tiles can go into it.

Note: 1 square foot = 144 square inches

40ft^2 * (144"in"^2)/(1ft^2) = 5760"in"^2

Now that we know the area in the same term as the tile being used to cover it, we can simply apply division to find the number of tiles necessary.

5760cancel("in"^2) * "1tile"/(3cancel("in"^2)) = "5760tile"/3 = 1920"tile"