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21 February, 03:26

Among all rectangles that have a perimeter of 134, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.

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  1. 21 February, 04:09
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    The answer to this question would be: L = 33.5, W=33.5

    In this question, the rectangle has a perimeter of 134. From this number, you can get this equation:

    perimeter=134

    2 (L+W) = 134

    L+W=67

    L = 67-W

    Using the formula for dimension you can get this equation:

    dimension = L * W

    dimension = (67-W) W = 67W - W^2

    The maximum dimension should be differentiation of the equation which will look like:

    67 - 2w = 0

    2w = 67

    w = 33.5
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