Question

A rectangle 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 1

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18m 72 cm = 1872 cm

13m 20cm = 1320 cm

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Find HCF:

1872 = 2⁴ x 3² • 13

1320 = 2³ x 3 x 5 x 11

HCF = 2³ x 3 = 24 cm

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Find Number of tiles:

Number of tiles lengthwise = 1872 ÷ 24 = 78

Number of tiles breadthwise = 1320 ÷ 24 = 55

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Total number of tiles = 78 x 55 = 4290

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Answer: The least number of tiles is 4290