A rectangular courtyard is 18m72cm long and 13m20cm broad.it is to be paved with square tiles of same size.find least possible number of such tiles
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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.
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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