Question 141

A rectangular field of dimension $$180m \times 105m$$ is to be paved by identical square tiles. Find the number of tiles required to cover the field fully leaving no area unpaved.

Solution

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The LCM of 180 and 105 = 15.
The number of tiles required for each row = 180/15 = 12 and,
the number of tiles required for each column = 105/15 = 7.
So, total number of tiles required = 12*7 = 84.

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