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 = = 8
And when b = 8, then l = = 15
This means dimensions of rectangular plot is 15 m by 8 m.
Therefore, diagonal of rectangular plot = m
Then, area of rectangular carpet = lb =
And perimeter of rectangular plot = m
When b = 15, then l = = 8
And when b = 8, then l = = 15
This means dimensions of rectangular plot is 15 m by 8 m.
Therefore, diagonal of rectangular plot = m