Question

Manoj had made a new house. He wants 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 foot × 1 foot, 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

2 is not a factor of 9 feet which is the width of the room.

1 and 3 are factors of both 9 and 12.

Hence, Manoj can buy tiles of 1 foot × 1 foot or 3 feet × 3 feet.

These tiles can be laid without cutting.