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A rectangular courtyard 3.78min long and 5.25m broad is to be paved exactly with square tiles all of the same size. The minimum number of such tiles is_________?

Correct answer: C. 450

  • A. 430
  • B. 440
  • C. 450
  • D. 460

Explanation

Convert the sides to centimetres: 3.78 metres = 378 centimetres and 5.25 metres = 525 centimetres. The largest square tile side is the greatest common divisor of 378 centimetres and 525 centimetres, which is 21 centimetres; the number of tiles is (378 ÷ 21) × (525 ÷ 21) = 18 × 25 = 450 tiles. The likely mistake is choosing 430 or 440 by using an approximate tile size instead of the exact common divisor.

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