area of a rectangle is increased by 20 units it is its length is increased by 8unit and breadth decreased by 1 unit if we increase its its breadth by 2 units and decrease if the length by 4 unit area decreases by 4 units find perimeter
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Step-by-step explanation:
let length be x units
breadth = y units
area = xy
now
new length = x +8
breadth = y - 1
area = xy + 20
area = (x + 8)(y - 1)
xy +20 = (x+8)(y-1) eq -1
new length = x - 4
breadth = y + 2
area = xy - 4
area = length×breadth
xy - 4 = (x-4)(y+2)
on solving we get
x = 17,y = 5
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