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-   -   Finite Math- how do I figure out area? (https://www.askmehelpdesk.com/showthread.php?t=266194)

  • Oct 4, 2008, 08:16 AM
    sbmom
    Finite Math- how do I figure out area?
    Here is the problem:
    If 100 feet of fence is used to fence
    in a rectangular yard, then the resulting area is given by A = x(50 – x) where x feet is the width of the
    rectangle and 50 – x feet is the length. Calculate the length and width that give maximum area. Do not
    graph this function.

    How would you start? Multipling the 2 equations together?

    I am taking this class online, and I am getting lost...

    Thanks in advance for the help.
  • Oct 4, 2008, 02:13 PM
    galactus
    By expanding we get a quadratic.



    Use to find the vertex of this parabola and, consequently, the optimum x value. The y is found my subbing x back into the equation for area.

    a=-1 and b=50.

    You should notice the max is achieved when the region is a square.
  • Oct 4, 2008, 06:43 PM
    sbmom
    Comment on galactus's post
    THANKS!

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