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A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is?

15 m
16 m
17 m
20 m

Correct Answer: 17 m

Explanation:

Let length = a metres and breadth = b metres
Then, 2(a+b)= 46
⇒ (a+b) =23 and ab =120
∴ Diagonal = √a² + b²
√(23)²-2 x 120
√289 = 17 m

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