It is given ABCD is a parallelogram.In a parallelogram opposite sides are equal.
AB=DC and AD=BC.
Substituting the given values in terms of x ad y we have:
3y-2=y+6 and 2x-4=x+12
Solving for x and y ,
3y-y=6+2 and 2x-x=12+4
2y=8 and x=16.
y=4 and x=16.
AB=3y-2 and BC=x+12
AB=3(4)-2 and BC= 16+12=28.
AB=10.
The correct answer is AB = 10; BC = 28.