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Math Help - Largest rectangle

  1. #1
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    Largest rectangle

    I really have no idea where to even begin with this problem. I did some guess and check, but I'm sure there's some method I'm suppose to use that we haven't covered. I understand what it's asking and all, but I'm at a loss as to how to solve it.

    Consider the graph of
    <br />
y = \sqrt{x}
    limited to the domain of (0,9).

    Find the largest rectangle that can be constructed inside of that shape, with sides parallel to the x- and y-axes and the right edge of the rectangle being the vertical line x = 9.

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  2. #2
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    This is a relatively simple calculus problem, but being as this was posted in pre-calc, am I to understand you are not familiar with differentiation?
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  3. #3
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    Yeah, I only recently started precalculus, so I don't know much yet.

    Edit: Oh, and since we haven't learned differentiation, I'm assuming we're not supposed to use it. We're currently using graphs and maximums and such.
    Last edited by Disorder; September 24th 2009 at 04:47 PM. Reason: info
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