Question

A mason has to fit a bathroom with square marble tiles of the largest possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile required that has to be cut and how many such tiles are required?

Answer 1

Size of bathroom = 10ft by 8ft
= (10 × 12) inch by (8 × 12) inch
= 120 inch by 96 inch
The largest size of tile required = HCF of 120 and 96
By applying Euclid’s division lemma
120 = 96 × 1 + 24
96 = 24 × 4 + 0
∴ HCF = 24
∴ Largest size of tile required = 24 inches

= 5 × 4
= 20 tiles