Question

A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles of the same size. Find the least possible number of such tiles.

Answer 1

Length of the courtyard = 18 m 72 cm = 1872 cm
Breadth of the courtyard = 13 m 20 cm = 1320 cm
Now, the maximum edge of the square tile is given by the HCF of 1872 cm and 1320 cm.

HCF of 1872 and 1320 = 24
∴ maximum edge of the square tile = 24 cm