Marcus has a large supply of rectangular wooden tiles. He wants to lay them out to form a square such that there are no gaps, and no tiles overlap. Each tile measures 44 mm wide and 56 mm long

a) What will be the dimensions of the smallest square he can form using these tiles?
b) How many tiles will be required to construct the square?

1 answer

LCM(44,56) = 7*8*11
So, there will be 14*44 by 11*56 = 616x616 mm, using 14*11 = 154 tiles