Question

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

Answer 1

Answer:

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.

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