Question

A rectangular floor measuring 8 feet by 6 feet is to be completely covered with square tiles measuring 8 inches on side. How many tiles are needed to completely cover the floor?

Answer 1

`108`

Explanation:

First we need to get everything into the same units, whether feet or inches. If we choose inches, then we can say that the floor is `96` inches by `72` inches.
To find how many tiles are need, we need to find out how many time `8`fits into each of the floor's dimensions.
`96/8 = 12`
`72/8 = 9`

We can therefore fit `12` rows of tiles with `9` tiles in each row. This means there are `12 * 9 = 108` tiles.

Answer 2

`108`

Explanation:

First we need to convert the units to the same extent.

`1feet=12 i` `nches`

`:.8 feet=8*12=96`

`6 feet=6*12=72 i` `nches`

If we think,We could find that

No.of tiles=Area of rectangle / Area of each square

`Area` `of` `recta` `ngl` `e` `=lb=96*72`

`Area` `of` `each` `squ` `are` `=s^2=8^2=64`

`:.rarr=(cancel96*72)/cancel64`

`rarr=(cancel24*72)/cancel16`

`rarr=(6*cancel72)/cancel4`

`rarr=6*18=108`