In a rectangle, if the length is creased by 3 metres and breadth is decreased by 4 meters, the rea of the rectangle is reduced by 67 square meters. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle.

Explanation

Let the length of the rectangle be metres and the breadth be y metres.

Area of the rectangle`=length times b r e a d t h`

=x times y=x y s q. metres

From the given information, we have,


`(x+3) times(y-4)=x y-67`


and `(x-1) times(y+4)=x y+89`

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