A rectangle with one side lying along the \( x \)-axis is to be P i...

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A rectangle with one side lying along the \( x \)-axis is to be
P inscribed in the closed region of the \( x y \) plane bounded by

W the lines \( y=0, y=3 x \), and \( y=30-2 x \). If \( M \) is the largest area of such a rectangle, then the value of \( M \) is
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