A rectangular Courtyard is 18m 72cm long and 13m 20cm broad it is to be paved with square tiles of the same size and the least possible number of such tiles?

Given that Length = 1872 cm

Width = 1320 cm

The edge of the square tile must be the common divisor of the dimensions of the courtyard.

So, maximum edge of square tile = HCF of 1872 and 1320 = 24 cm

So, required number of tiles = area of courtyard/ Area of square tile

= 1872 x 1320/ (24)² = 4290

Thus, the least number of tiles required to cover the courtyard is 4290.