Question

The room measures 960 cm by 768 cm.find the quantity and size of largest square tiles that will be required to cover the floor

Answer 1

area of rectangle = 960*768 = 737280

960 = 2*2*2*2*2*2*3*5

768 = 2*2*2*2*2*2*2*2*3

LCM = 2*2*2*2*2*2*3 = 192

so the square tile would have side 192 and area = 192 * 192 = 36864 cmsq

and total tiles required = 737280/36864 = 20

so 20 such tiles would be required to cover the rectangular floor completely with the square tiles