The length of a rectangle exceeds its breadth by 4 cm. If the length and breadth each is increased by 3 cm , the area of the new rectangle will be 81 square centimetres more than that of given rectangle. Find the length and the breadth of the given rectangle.
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the previous rectangle area
=(x+4)x
=x^2+4x
the next rectangle area
=(x+4+3)(x+3)
=x^2+10x+21
ATQ
x^2+10x+21-(x^2+4x) = 81
x^2+10x+21-x^2-4x = 81
6x = 60
x= 10
l =14
b=10
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hope it helps you ^_^
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