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

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

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