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22 February, 18:09

A polygon has an area of 225 square meters. A similar polygon is created with an area that is triple the first. By what factor is the length of each side increased?

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  1. 22 February, 21:18
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    The area of the original polygon is:

    A = 225 m ^ 2

    The similar polygon area is:

    A ' = (k ^ 2) * (A)

    Substituting values:

    3 * 225 = (k ^ 2) * (225)

    Clearing k we have:

    k ^ 2 = 3

    k = (3) ^ (1/3)

    Answer:

    The length of each side increased by:

    k = (3) ^ (1/3)
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