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    Find the dimensions of the trapezoid of greatest area with longer base on the x axis and its other two vertices above the x axis and on the graph of 4y = 16 - x^2.

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    Find the dimensions of the trapezoid of greatest area with longer base on the x axis and its other two vertices above the x axis and on the graph of 4y = 16 - x^2.

    keywords: trapezium, trapezoids

    © BrainMass Inc. brainmass.com October 3, 2022, 12:57 am ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/dimensions-trapezoid-greatest-area-longer-base-111377

    Solution Preview

    Please see attached file.

    Area A = ½*(sum of parallel sides)*Altitude
    The base of the trapezium lies between the two points where the parabola cuts the x-axis.
    Therefore, 4*0 = 16 - x2 = 0
    Or x = 4 or -4.
    So the length of the base = 8 ...

    Solution Summary

    The dimensions of a trapezoid with greatest are is found. The greatest area with longer bases are determined.

    $2.49

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