Question
Fri May 18, 2012 By:

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

Expert Reply
Sat May 19, 2012
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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