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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%.

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