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.
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Answer 1

Answer:

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.