Given data:
The area of the parallelogram is A=24 m^2.
The base of the parallelogram is b=4 m.
The expression for the area of the parallelogram is,
[tex]\begin{gathered} A=(b)v \\ 24m^2\text{ =(4 m)v} \\ v=6\text{ m} \end{gathered}[/tex]Thus, the height of the parallelogram is 6 m.