The perimeter of a rectangle is 240cm . If the length is increased by 10% and breadth is decreased by 20%, we get the same perimeter. Find the length and breadth of the reactangle .
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let the length is x & breadth is y
then 2(x+y)=240
or x+y=120..............(1)
after change in length and breadth perimeter become
2((110/100)x+(80/100)y)=240
or 11x+8y=1200...........(2)
(2)-8*(1)
3x=240
or x=80
putting the value of x in (1)
y=40
x=80
y=40.................(ans)
then 2(x+y)=240
or x+y=120..............(1)
after change in length and breadth perimeter become
2((110/100)x+(80/100)y)=240
or 11x+8y=1200...........(2)
(2)-8*(1)
3x=240
or x=80
putting the value of x in (1)
y=40
x=80
y=40.................(ans)
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