If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Quadratic word problems (vertex form)

You might need: Calculator


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:
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