Final answer:
The height of the parallelogram is 6 cm.
Step-by-step explanation:
To find the height 'x' of the parallelogram, we need to use the formula for the area of a parallelogram.
The formula is: Area = base * height.
We are given that the area is 24 cm^2 and the base is 4 cm.
So we can rearrange the formula to solve for the height: height = Area / base.
Plugging in the given values, we get: height = 24 cm^2 / 4 cm = 6 cm.