If length of a rectangle is reduced by 3cms and breadth increased by 2cms, it's area remains same. If length is increased by 2cms and breadth reduced by 1cm, then too the area remains same. Find the length and the breadth of rectangle.
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Answer:
L=x
B=y
A=xy
when it is deceased L=x-3
B=y-3
now, xy=(x-3)(y-3)
when it is increased L=x+2
B=y-1
A=(x+2)(y-1)
xy-3x-3y+9
3x+3y=9
x+y =3
x=3-y
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