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

hcf of 10 and 8 is the measurement of each tile

(10×8)÷hcf of 10 and 8 is the number of square tiles

Answer 2

Largest size of tile required = 24 x 24 inches

Number of tiles required = 20 tiles

Step-by-step explanation:

Size of bathroom = 10ft by 8ft

In inches, the size = (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 x 24 inches = 576 sq. inches.

Number of tiles required = 120 * 96 / 576 = 20 tiles