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21 July, 15:25

What are the possible lengths and widths of a rectangle if its length is 8 centimeters longer than the width, and the area is less than or equal to 33 square centimeters?

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  1. 21 July, 15:31
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    A = LW

    A = (< = 33)

    L = W + 8

    W (W + 8) < = 33

    W^2 + 8W < = 33

    W^2 + 8W - 33 < = 0

    (W + 11) (W - 3) < = 0

    W + 11 < = 0

    W < = - 11 (extraneous solution)

    W - 3 < = 0

    W < = 3 <===

    L < = W + 8

    L < = 3 + 8

    L < = 11 <===
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