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Quadratic word problems (vertex form)

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Problem

Shenelle has 100 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width x (in meters) is modeled by:
A, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 25, right parenthesis, squared, plus, 625
What side width will produce the maximum garden area?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
meters
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