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The Breadth must be increased by the same ratio
so breadth should be increased by 33.33%
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L new = decrease of L by 33.33% => Lnew = L [1-(33.33/100) ]=.6667L
Area of rectangle = L*B
Area1 = L*B
Area2 = Lnew * Bnew
Area1 = Area2
L*B = Lnew*Bnew
L*B = 0.6667L * Bnew
Cancelling L on both sides
Bnew*0.6667 = B
Bnew = B/0.6667 = 1.4999B
In %, Bnew = (1.4999*100)B = 149.99B
So, Bnew = (100+49.99)B
i.e., 49.99% of breadth should be increased so that the area remains constant
which is almost 50%
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