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A rectangular carpet has an area of 120 square meters and a parameter of 46m. The length of it's diagonals is_________?

Correct answer: D. 17m

  • A. 11m
  • B. 13m
  • C. 15m
  • D. 17m

Explanation

Let the length and breadth be L metres and B metres. From the perimeter, 2(L + B) = 46 metres, so L + B = 23 metres; with LB = 120 square metres, the sides are 15 metres and 8 metres. The diagonal is √(15² + 8²) metres = √289 metres = 17 metres, so the likely mistake is choosing 15 metres, which is a side rather than the diagonal.

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