SOLUTION: A rectangle has perimeter of 100 feet. Express the area A of the rectangle as a function of x. In other words, find A(x). (Picture of rectangle with y as width and x as length).

Algebra ->  Rectangles -> SOLUTION: A rectangle has perimeter of 100 feet. Express the area A of the rectangle as a function of x. In other words, find A(x). (Picture of rectangle with y as width and x as length).      Log On


   



Question 211684: A rectangle has perimeter of 100 feet. Express the area A of the rectangle as a function of x. In other words, find A(x). (Picture of rectangle with y as width and x as length).
Answer by stanbon(75887) About Me  (Show Source):
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A rectangle has perimeter of 100 feet. Express the area A of the rectangle as a function of x. In other words, find A(x). (Picture of rectangle with y as width and x as length).
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Area = xy sq. units
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Perimeter = 2(x+y)
100 = 2(x+y)
x+y = 50
y = 50-x
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Therefore Area = x(50-x) = 50x-x^2 sq. units
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Cheers,
Stan H.