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Question

The length of a rectangle exceeds it's breadth by 7cm. If the length is decreased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the area of the original rectangle. Find the length and the breadth of the original rectangle?


Solution

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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