1. **State the problem:** We need to find the missing side length $x$ of a rectangle where the area is 29 square inches and the other side length is 7.5 inches. 2. **Formula for the area of a rectangle:** $$\text{Area} = \text{length} \times \text{width}$$ Here, length = 7.5 inches and width = $x$. 3. **Set up the equation:** $$7.5 \times x = 29$$ 4. **Solve for $x$:** Divide both sides by 7.5: $$x = \frac{29}{7.5}$$ 5. **Simplify the fraction:** $$x = \frac{29}{\cancel{7.5}}$$ 6. **Calculate the value:** $$x = 3.8666...$$ 7. **Round to the nearest hundredths:** $$x \approx 3.87$$ **Final answer:** The missing side length $x$ is approximately 3.87 inches.