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

• A. 17 m
• B. 15 m
• C. 16 m
• D. 20 m

Answer: (A)

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