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A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?

Correct answer: D. 50 m

  • A. 25 m
  • B. 35 m
  • C. 45 m
  • D. 50 m

Explanation

At 50 paise per m2, or Rs.0.50 per m2, an expenditure of Rs.600 covers 600 / 0.50 = 1200 m2. Let the sides be 4x m and 3x m, so 12x2 m2 = 1200 m2 gives x = 10 m; the diagonal is sqrt((40 m)2 + (30 m)2) = 50 m. Students may choose 25 m, option a, by taking half the diagonal or mishandling the 3:4:5 triangle.

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