In order to find the height of the parallelogram, we can use the following formula for its area:
![A=b\cdot h](https://img.qammunity.org/2023/formulas/mathematics/college/va6lkqlui3yw5vwdwtjup0zaso5zewck4j.png)
Where A is the area, b is the base and h is the height of the parallelogram.
Using A = 54 and b = 9, we can solve the equation for h:
![\begin{gathered} 54=9\cdot h \\ h=(54)/(9) \\ h=6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/l0dpyv96hntmfwslopx7zplgy8fo1b2dc3.png)
So the height of the parallelogram is 6 inches.