The length of a rectangle exceeds its breadth by 7cm


Asked by admin @ in Math viewed by 282 People


The length of a rectangle exceeds its breadth by 7 cm . if the length is decreased by 4 cm and breadth is increased by 3, the new rectangle is the same as the area of the original rectangle. Find the length and the breadth of the original rectangle

Answered by admin @



B =x
L= x+7

Original Area =x×(x×7)=x^2+7x

New length =x+7-4=x+3
New breadth =x+3

New area =(x+3)(x+3)=x^2+6x+9

A2Q

=x^2+7x =x^2+6x+9
=x^2- x^2+7x=6x+9
=7x-6x=9
=x=9cm=Breadth
9+7=16cm=Length



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