Renu wants to lay tiles on the floor of her house which is 9m long and 7m wide among the following sizes of tiles which one should she buy so that the floor is tiled without cutting any tiles

What size tiles?

55cm× 40cm

35cm*45cm

To determine the size of tiles Renu should buy, we need to find the common factor of both the length and width of the floor. This common factor will be the size of the tiles that can be laid without cutting any.

First, let's find the factors of 9:
1, 3, 9

Now, let's find the factors of 7:
1, 7

From the factors listed above, we can see that the only common factor between 9 and 7 is 1. This means that there is no size of tile that can perfectly fit the floor without cutting.

In this case, Renu should consider choosing the largest tile size that is smaller than either the length or width of the floor. For example, if she chooses 1m x 1m tiles, she would need 9 tiles for the length and 7 tiles for the width, resulting in some cutting and waste.

Alternatively, she could consider a different tile layout or choose a size that is a multiple of both the length and width, such as 3m x 2m or 6m x 4m.

Ultimately, the choice of tile size may also depend on personal preference, budget, and availability.