Geometry

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The perimeter of a Triangle(MNO) is equal to the perimeter of square ABCD. If the sides of the triangle are represented by 4x+4, 5x-3, and 17, and one side of the square is represented by 3x, find the length of a side of the square.

  • Geometry -

    perimeter of square = 4(3x) = 12x
    perimeter of triangle = 4x+4 + 5x-3 + 17 = 9x + 18

    so
    12x = 9x+18
    3x=18
    x=6

    so the side of the square is 3(6) = 18

    check:
    perimeter of square = 4(18) = 72
    sides of triangle are 28, 27 and 17
    perimeter of triangle = 28+27+17 = 72

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