1. **State the problem:** Harun wants to design a rectangular window with width 4 feet and an area more than 12 square feet but not more than 24 square feet. We need to find the length $x$ that guarantees the window is not too small. 2. **Write the inequality for the area:** The area $A$ of a rectangle is given by the formula $$A = \text{width} \times \text{length}$$ 3. **Apply the given width:** Here, width = 4 feet, so $$A = 4 \times x = 4x$$ 4. **Set the inequality for the area being more than 12:** We want the area to be more than 12 square feet, so $$4x > 12$$ 5. **Solve the inequality for $x$:** Divide both sides by 4: $$\frac{\cancel{4}x}{\cancel{4}} > \frac{12}{4}$$ which simplifies to $$x > 3$$ 6. **Interpretation:** The length $x$ must be greater than 3 feet to ensure the window area is more than 12 square feet. **Final answer:** $$x > 3$$