# A rectangular carpet has area 120m2 and perimeter 46 metres. The length of its diagonal is(a) 15m (b) 16m (c) 17m (d) 20m

Suppose l and b be the length and breadth of the rectangular carpet respectively.
Then, area of rectangular carpet = lb =

And perimeter of rectangular plot = m

When b = 15, then l = $\frac{120}{15}$ = 8
And when b = 8, then l = $\frac{120}{8}$ = 15
This means dimensions of rectangular plot is 15 m by 8 m.

Therefore, diagonal of rectangular plot = m

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