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A rectangular carpet has an area of 60 sq.m its diagonal and longer side together equal 5 times the shorter side. The length of the carpet is:_________?

Correct answer: B. 12m

  • A. 5m
  • B. 12m
  • C. 13m
  • D. 14.5m

Explanation

Let the shorter side be s metres, the longer side be l metres, and the diagonal be d metres. Since d + l = 5s and d² = l² + s², substituting gives (5s − l)² = l² + s², which simplifies to l = 2.4s; using ls = 60 square metres gives 2.4s² = 60, so s = 5 metres and l = 12 metres. The likely mistake is choosing 13 metres, which is the diagonal of the 5 metre by 12 metre carpet, not its length.

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