SOLUTION: Rectangular plot of land was altered by increasing its length by X percent while decreasing it's a width by X percent. If the total area of the plot of land of was decreased by 4%

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Question 1015290: Rectangular plot of land was altered by increasing its length by X percent while decreasing it's a width by X percent. If the total area of the plot of land of was decreased by 4% what is the value of x.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Rectangular plot of land was altered by increasing its length by X percent while decreasing it's a width by X percent.
If the total area of the plot of land of was decreased by 4% what is the value of x.
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The equation is 

%281%2Bx%2F100%29%2AL . %281-x%2F100%29%2AW = 0.96%2ALW.

Cancel both sides by the factor LW. You will get the equation for the unknown x:

(1+0.01x)*(1-0.01x) = 0.96.

Can you solve it yourself?

It is very easy.