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5 October, 01:47

A rectangular school banner has a length of 48 inches and a width of 30 inches. A sign is made that is similar to the school banner and has a length of 15 inches. What is the ratio of the area of the school banner to the area of the sign?

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  1. 5 October, 01:59
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    The ratio of length to width is:

    ratio = 48 inches / 30 inches = 1.6

    This ratio must be similar to that of the other school banner, therefore the width of that is:

    width = 15 / 1.6 = 9.375 inches

    The areas are:

    A1 = 48 inches * 30 inches = 1440 square inches

    A2 = 15 inches * 9.375 inches = 140.625 square inches

    So the ratio of the area is:

    A1 / A2 = 1440 / 140.625

    A1 / A2 = 10.24
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