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

Question

Accepted Answer

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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