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%

Algebra.Com
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(52779)   (Show Source): You can put this solution on YOUR website!
.
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.
------------------------------------------------------------------ 

The equation is 

 .  = .

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.


RELATED QUESTIONS

A rectangle was altered by decreasing its length by 15% and increasing its width by x %.... (answered by Boreal)
A cylinder was altered by increasing the radius its circle base by 10 percent and... (answered by Boreal)
two rectangular plots of land are equal in area . the length of the first plot is one and (answered by josgarithmetic,MathTherapy)
two rectangular plots of land are equak in area. the length of the first plot is one and... (answered by josgarithmetic)
A dealer altered his discount from 25 to 20 percent . By what percent was the selling... (answered by Theo)
If increasing 20 by P percent yields the same result as decreasing 60 by P percent, then... (answered by ikleyn,MathLover1)
the fraction x/y is altered by decreased x by 25 per cent and increasing y by 25 percent. (answered by robertb)
A designer enlarged both the length and the width of a rectangular carpet by 60 percent.... (answered by jorel555)
if a rectangular region having an area of 500 square units has its length increased by 20 (answered by Fombitz)