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10 December, 05:31

Abigail made a quilt that has the area of 4,800 sq. inches. The length of the quilt is 1 1/3 times the width of the quilt. What are the dimensions of the quilt

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  1. 10 December, 07:46
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    For this case we model the problem as a rectangle.

    The area of the rectangle is given by:

    A = (w) * (l)

    Where,

    w: width

    l: long

    Substituting values we have:

    4800 = (w) * ((1 1/3) * w)

    We rewrite:

    w ^ 2 = 4800 / (1 1/3)

    w ^ 2 = 3600

    w = root (3600)

    w = 60 in

    The long will be then:

    l = (1 1/3) * w

    l = (1 1/3) * (60)

    l = 80 in

    Answer:

    the dimensions of the quilt are:

    w = 60 in

    l = 80 in
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