1. Problem: We are given the formula for the area of a parallelogram as $$A = g \cdot h$$, where $A$ is the area, $g$ is the base, and $h$ is the height. 2. We want to express the height $h$ in terms of $A$ and $g$. 3. Starting from the area formula: $$A = g \cdot h$$ 4. To isolate $h$, divide both sides of the equation by $g$ (assuming $g \neq 0$): $$h = \frac{A}{g}$$ 5. Therefore, the correct formula for the height $h$ expressed in terms of $A$ and $g$ is: $$h = \frac{A}{g}$$ 6. The other options $h = A + g$, $h = A - g$, and $h = A \cdot g$ are incorrect because they do not correctly isolate $h$ from the original area formula. Final answer: $h = \frac{A}{g}$