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
3y = 9
y = 3
x = 2
for perimeter, evaluate each of the sides using the values for x and y, then add up the length of the sides.