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Q: A rectangular carpet has an area of 120 sq metres and a perimeter of 46 metres. The length of its diagonal is
A. 15 m B. 18 m
C. 17 m D. 20 m

Answer and Explanation

Answer:17 m

Explanation:
2 (l + b) = 46 or (l + b) = 23
Also, lb = 120
Hence, Diagonal = √(l2 + b2)= √(l2 + b2 – 2lb) = √(232 – 240) = √289 = 17 m

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