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

5 answers

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.

24cm

how to get the equations.

I've replied

The sydes of parallelogram in fig 14.6are giving in cm with the breath of 3y+2x and the other breath of 4x-3