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3 February, 21:34

A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism. Let x = the height of the prism x - 9 =

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  1. 3 February, 21:57
    0
    Its the width

    ...
  2. 3 February, 21:59
    0
    LW≤27

    W=H-9

    L=6+W

    LW≤27

    (6+W) (W) ≤27

    W^2+6W≤27

    minus 27

    W^2+6W-27≤0

    factor

    (W-3) (W+9) ≤0

    W-3≤0

    W≤3

    W+9≤0

    W≤-9

    wrong, must be positive for a dimention

    W≤3

    27/3=9

    L≤9

    W=H-9

    3=H-9

    H≤12

    L≤9

    W≤3

    H≤12

    legnth
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