CKDE is a parallelogram with center T?

If DE= x+y, EC=12, CK=2x-y, and KD=3x-2y, the x= blank and y= blank and the perimeter of DECK= blank

please help

Comments

  • x+y=2x-y

    x=2y

    3x-2y=12

    3(2y)-2y=12

    4y=12

    y=3

    x=6

    Perimeter = DE+EC+CK+KD=9+12+9+12=42

  • Opposite sides in parallelograms are equal.

    We can set up the following equations.

    3x-2y=12

    x+y=2x-y

    Then we simplify both leaving...

    3x=12+2y

    x=(12+2y)/3

    x=2y

    Plug in 2y for x in the first equation.

    2y=(12+2y)/3

    6y=12+2y

    y=3

    Plug 3 into the first equation.

    3x=12+2(3)

    x=6

    The perimeter can be found by plugging in x and y into the other equations for the sides.

    x=6 and y=3

    Good Luck!

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