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How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?

  • A.99
  • B.90
  • C.95
  • D.100

Answer: A

Convert the mixed numbers to decimals and divide the areas.

\[ \text{stone} = 2.5 \times 2 = 5 \text{ m}^{2} \]

\[ \text{courtyard} = 30 \times 16.5 = 495 \text{ m}^{2} \]

\[ n = \frac{495}{5} = 99 \]

The division is exact, so the stones tile the courtyard with no cutting - which is what makes the volume comparison legitimate here.

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