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Course: Algebra 1 (FL B.E.S.T.) > Unit 12

Lesson 1: Vertex form of quadratic functions
Math
Algebra 1 (FL B.E.S.T.)
More on quadratic functions & equations
Vertex form of quadratic functions
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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(x)=−(x−25)2+625
What side width will produce the maximum garden area?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
meters