when lenght of a rectangular plot is increased by 4 times its perimeter become 280 metre and area become 12800 what is its original lenght
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Step-by-step explanation:
Let the initial length be x and breadth be y.
Then Perimeter is 2(4x+y)=480
and area is 4x(y)=12800
You can solve these simultaneously and obtain a value for x.
Substitute the value of y from equation 2 to equation 1
i.e 2(4x + 12800/4x) = 480
(x-20)(x-40)=0
x=20 or x=40
There are 2 possible values for the length for this case.
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