
Nestor R. answered 07/08/19
Mathematically-oriented professional with many years of experience
The room's floor has dimensions 20 m by 15 m and it is to be covered completely by square tiles, where each tile has l=w.
The common factor of 20 and 15 is 5, so a square tile 5x5 m has area 25m2. The floor has area 20 x 15 m = 300m2. 300 divided by 25 = 12 square tiles of size 5x5 m.
There will be 4 tiles going for the 20 m length and 3 tiles for the 15 m length. 4 x 3 = 12.