A rectangular carpet has an area of 120 square meters and a parameter of 46m. T

Question

A rectangular carpet has an area of 120 square meters and a parameter of 46m. The length of it's diagonals is

Options:

A . 11m

B . 13m

C . 15m

D . 17m

Answer: Option D

l x b = 120 and 2(l+b) =46
=> (l+b) = 23
(l-b)² =(l+b) ² -4lb
= (23) ² “ 4 x 120
= (529 - 480) = 49
(l-b) = 7
On solving l+b = 23, l-b = 7, we get l =15 b = 8
Diagonal =
= 17 m

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