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-   -   Quadratic function (https://www.askmehelpdesk.com/showthread.php?t=144177)

  • Oct 23, 2007, 06:46 PM
    anne21
    Quadratic function
    I have another question! I really am lost? I don't get those..
    Chris cuts half a rectangular lawn, 40m by 30m by moving strips of equal width around perimeter. Jerri cuts the small rectangle left How wode a strip does Chris cut so that they share equally?

    Help!
  • Oct 23, 2007, 10:11 PM
    terryg752
    Suppose the width of strip is x

    Then length of inner rectangle = 40 - 2x, width = 30 - 2x

    Hence area of inner rectangle = (40 - 2x) (30 - 2x)

    total area = 40 times 30 = 1200

    Hence area of the stripped part = 1200 - (40 - 2x) (30 - 2x)

    The two are equal:

    1200 - (40 - 2x) (30 - 2x) = (40 - 2x) (30 - 2x)

    Solve this equation to get x

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