The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by:
42%
62%
82%
None
Explanation:
Area of square = $x^2.$
Increment of length = 1.4x.
Increment of breadth = 1.3x
Area of rectangle = l×b = $1.82 x^2.$
Increment in area= $1.82 x^2$ - $x^2$= 82%.