A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the <strong>MINIMUM</strong> number of tiles required?

Explanation

Convert dimensions to cm: L = 3060 cm, B = 2340 cm. To minimize the number of tiles, the tile size must be maximum. The maximum size of a square tile is the HCF of 3060 and 2340, which is 180 cm. The minimum number of tiles = \frac{3060 \times 2340}{180 \times 180} = 17 \times 13 = 221.

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