Question

Floor of a room measures 4.5 metres × 3 metres. Find the minimum number of complete square marble slabs of equal size required to cover the entire floor.

Answer 1

To find the minimum number of square slabs to cover the floor, we have to find the greatest size of each such slab. For this purpose, we have to find the HCF of 450 and 300. 

(Since 4.5 m = 450 cm and 3 m = 300 cm) 

Now HCF of 450 and 300 = 150 

So the required size of the slab must be 150 cm × 150 cm. 

Hence, the number of slabs required = Area of the floor/ Area of one slab = 450 x 300/ 150 x 150 = 6