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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102
⭐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.
⭐Answer:-
Solution:-
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.
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Answer:
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