In a rectangle if length is increased by 7 units & breadth is decreased by 3 units or if length is decreased by 7 units & breadth is increased by 5 units, in both the cases the area remains same. Find the dimensions of the rectangle. Also find the area of the rectangle.
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Answer:
Assume, Length= x units
Breadth= y units
by problem,
(x+7)(y-3)=(x-7)(y+5) ......(1)
(x+7)(y-3)= xy .......(2)
solving 1 & 2
x=28
y=15
area of rectangle=28*15=420 square units
Dimension=2( x+ y)=2(15+28)=86 units
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