SOLUTION: a manufacturer wants to enlarge an existing manufacturing facility such that the total floor area is 1.6 times that of the current facility. The floor area of the current facility

Question 297366: a manufacturer wants to enlarge an existing manufacturing facility such that the total floor area is 1.6 times that of the current facility. The floor area of the current facility is rectangular and measures 250 feet by 160 feet. The manufacturer wants to increase each dimension by the same amount. write the dimensions of the new floor.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(250*160)*1.6=(250+X)(160+X)
64,000=40,000+410X+X^2
X^2+410X+40,000-64,000=0
X^2+410X-24,000=0

x=(-410+-sqrt[410^2-4*1*-24,000])/2*1
x=(-410+-sqrt[168,100+96,000])/2
x=(-410+-sqrt264,100)/2
x=(-410+-513.9066)/2
x=(-410+513.9066)/2
x=103.9066/2
x=51.9533 ans. for the measurement extensions.
Proof:
64,000=(250+51.9533)(160+51.9533)
64,000=301.9533*211.9533
64,000=64,000
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