Question

Manoj has a new house. He to lay tiles on the floor. The size of the room is 9 feet × 12 feet. In the market, there are three kinds of square tiles: 1 feet × 1 feet, 2 feet × 2 feet and 3 feet × 3 feet. Which size of tile should he buy for his room, so that he can lay it without cutting?

Answer 1

From the question it is given that, size of the room is
9 feet × 12 feet.
Size of the tiles available in the market are:
1 foot $\times$ 1 foot,
2 feet $\times$ 2 feet and
3 feet $\times$ 3 feet.
Here, 2 is not a factor of width of the room i.e. 9 feet, so
2 feet $\times$2 feet tiles is not able to lay.
1 and 3 are the factors of 3 and 9.
Therefore, Monoj can buy 1 foot $\times$1 foot, and 3 feet $\times$ 3 feet, so that he can lay it without cutting.