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23 January, 19:56

An original piece of art work is 3 feet by 2.5 feet. a reprint of the artwork is 6 inches by 5 inches. are the pieces similar? if so, what is the ratio of their corresponding side lengths?

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  1. 23 January, 20:37
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    For this case we observe that the dimensions of the original piece are:

    3 feet

    2.5 feet

    Let's multiply these dimensions by a scale factor k:

    3 * k

    2.5 * k

    We match the new dimensions with their respective values:

    3 * k = 6

    2.5 * k = 5

    Clearing k we have:

    k = 6/3 = 2

    k = 5 / 2.5 = 2

    Since the value of k is the same, then the pieces are similar.

    Answer:

    The pieces are similar.

    The ratio of their corresponding side lengths is:

    k = 2
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