Question

You want to lay tile in a room of your house. The room is 12 feet by 8 feet. What is the side measure of the largest square tile that you can use to cover the whole floor so there is no overlap or cutting?

Answer 1

4

Explanation:

i just know it

Answer 2

If we want to use a square tile of side
`s`, we have to make sure that
`s` divides both 12 and 8.

The divisors of 8 are 1, 2, 4 and 8.

The divisors of 12 are 1, 2, 3, 4, 6 and 12.

So, the only common divisors are 1, 2 and 4.

Since we want the largest square tile, we choose the one with side 4.