Posted by Maccbath on Sunday, February 19, 2012 at 10:18am.
The sides of parallelogram 2x+y,3y2x,5y8,4x3 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 = 5y8 > 2x4y = 8
3y2x = 4x3 > 6x  3y = 3
divide the 2nd by 3
2x  y = 1
2xy = 1
2x4y = 8
subtract them
3y = 9
y = 3
then 2x3=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.