Posted by **Maccbath** on Sunday, February 19, 2012 at 10:18am.

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 -
**Reiny**, Sunday, February 19, 2012 at 10:29am
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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