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24 November, 03:38

One side of a square measures x + 3 inches. One side of an equilateral triangle measures x + 7 inches. If the perimeters of the two figures are equal, what is the value of x?

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  1. 24 November, 04:02
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    The answer to your question is x = 9

    Step-by-step explanation:

    Data

    Side of a square = s = x + 3

    Side of a triangle = s = x + 7

    Perimeter of a square = 4s

    Perimeter of a triangle = 3s

    Process

    1. - Consider both perimeters are equal

    Perimeter of a square = Perimeter of a triangle

    2 - Substitution

    4 (x + 3) = 3 (x + 7)

    3. - Expand

    4x + 12 = 3x + 21

    4. - Solve for x

    4x - 3x = 21 - 12

    x = 9
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