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    Madihakazi's Avatar
    Madihakazi Posts: 20, Reputation: 1
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    #1

    May 30, 2011, 06:12 AM
    Quadratic Equation
    A quadratic equation when the perimeter and diagonal of a rectangle are given.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    May 30, 2011, 12:13 PM
    If the length and width of the rectangle are a and b, what's the formula for the perimeter?

    How about the formula for the diagonal?

    Now solve that first equation (the perimeter one) for one of the variables (e.g. a = ?). Then just substitute that value into the second equation (the diagonal one). The result will be a quadratic equation in just one variable.

    If you're still unsure what to do, try to at least answer the first two questions I posed, then post back with your results. We'll help you go from there.
    Madihakazi's Avatar
    Madihakazi Posts: 20, Reputation: 1
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    #3

    May 31, 2011, 12:43 AM
    Can u please tell me the formula for the diagonal of rectangle.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #4

    May 31, 2011, 05:08 AM

    The diagonal forms a right triangle with two of the sides. So it's length is just the Pythagorean theorem:



    Just substitute your value for D (the diagonal) and the solution for a or b from the perimeter equation.

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