To find the height of the parallelogram tile, we can use the formula \( A = bh \) where:
- \( A \) is the area (108 square inches),
- \( b \) is the base (12 inches),
- \( h \) is the height.
We want to solve for \( h \). We can rearrange the formula:
\[ h = \frac{A}{b} \]
Now, we can substitute the values for \( A \) and \( b \):
\[ h = \frac{108}{12} \]
Calculating that gives:
\[ h = 9 \text{ inches} \]
So, the height of the tile is 9 inches.