Question

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

Answer 1

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 $4290$.