SOLUTION: The area of a rectangular plot 32 feet long and 25 feet wide will be doubled by adding an equal width to each side of the plot. What width will accomplish this?

Question 452755: The area of a rectangular plot 32 feet long and 25 feet wide will be doubled by adding an equal width to each side of the plot. What width will accomplish this?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
(32+x)(25+x)=2(32*25)
32*25+25x+32x+x^2=2*8300
x^2+57x+800=16600
x^2+57x+800-16600=0
x^2+57x-15800=0

x=(-57+-sqrt[57^2-4*1*-15800])/2*1
x=(-57+-sqrt[3249+63200])/2
x=(-57+-sqrt[66449])/2
x=(-57+-257.78/2
x=(-57+257.78)/2
x=200.78/2
100.39 ans. for the added length.
100.39+25=125.39 ans. for the expanded width.
32+100.39=132.39 ans for the new length.
Proof:
132.39*125.39=16600
16600=16600
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