The side of a triangle with 3 equal sides is 8 inches shorter than the side of a square. The perimeter of the square is 46 inches more than

Question

The side of a triangle with 3 equal sides is 8 inches shorter than the side of a square. The perimeter of the square is 46 inches more than the perimeter of the triangle. Find the length of a side of the square.

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Eloise 2 weeks 2021-09-13T16:05:29+00:00 1 Answer 0

Answers ( )

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    2021-09-13T16:06:52+00:00

    Answer:

    The length of a side of the square is 22 inches.

    Step-by-step explanation:

    Let each side of square be = s

    Let each side of triangle be = s – 8

    Perimeter of square, p₁ = 4s

    Perimeter of triangle = p₂ = 3s

                                              = 3(s-8)

                                              = 3s – 24

    Therefore, according to the question

    p₁ – p₂ = 46

    4s – (3s – 24) = 46

    4s – 3s + 24 = 46

    s = 46 – 24

    s = 22

    The length of a side of the square is 22 inches.

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