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25 March, 09:02

The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 54 meters. Find the width.

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  1. 25 March, 09:31
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    Perimeter of a rectangle =

    P = 2 (L + w)

    P = 54

    L = 3w - 5

    54 = 2 (3w - 5 + w)

    (Combine like terms)

    54 = 2 (4w - 5)

    (Distribute the 2)

    54 = 8w - 10

    (Add 10 to both sides)

    64 = 8w

    (Divide 8 from both sides)

    W = 8m

    (L = 8 (3) - 5 = 19m)
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