1. **State the problem:** We need to multiply the expression $9(c + 2d)$ using the area model and find the partial products. 2. **Recall the distributive property:** The distributive property states that $a(b + c) = ab + ac$. This means we multiply each term inside the parentheses by the term outside. 3. **Apply the distributive property:** Multiply $9$ by each term inside the parentheses: $$9 \times c = 9c$$ $$9 \times 2d = 18d$$ 4. **Write the partial products:** The two partial products are $9c$ and $18d$. 5. **Write the final product:** Combine the partial products: $$9(c + 2d) = 9c + 18d$$ This completes the multiplication using the area model.