The value of the variable in the parallelogram is x=27.
Substitute the given expressions for RZ and SW into the equation RZ = 1/2(SW):
(4x + 8) = 1/2(9x - 11)
Distribute the 1/2 on the right side:
4x + 8 = 9x/2 - 11/2
Multiply both sides by 2 to eliminate fractions:
8x + 16 = 9x - 11
Subtract 8x from both sides:
16 = x - 11
Add 11 to both sides:
27 = x
Therefore, the value of x is 27.