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