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The sides of parallelogram 2x+y,3y-2x,5y-8,4x-3 are given in cm.find x and y and the perimeter of the parallelogram

  • Math -

    I assume you have listed the sides in order going around the parallogram.
    Opposite sides are equal, so ...

    2x+y = 5y-8 ----> 2x-4y = -8
    3y-2x = 4x-3 ---> 6x - 3y = 3

    divide the 2nd by 3
    2x - y = 1

    2x-y = 1
    2x-4y = -8
    subtract them
    3y = 9
    y = 3
    then 2x-3=1
    x = 2

    for perimeter, evaluate each of the sides using the values for x and y, then add up the length of the sides.

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