A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The leng

Question

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

Options:

A . 15 m

B . 16 m

C . 17 m

D . 20 m

Answer: Option C

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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