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The width of a rectangle is increased by 20%.  The length of is decreased by x%, so that the area remains the same.  What is x?

 Sep 9, 2020
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l * w = k      k = constant

x l   *  1.2 w  = k

x l    *    w =    k / 1.2

l * w   = k / (1.2 * x)       remember   l x w = k

k = k / (1.2 * x)       or     1.2 * x must = 1

                                          x = 1/1.2 = .8333        the width has decresed by ~ 17 %

 Sep 9, 2020

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