1. **Problem Statement:** Hunter drew two identical trapezoids and composed them to form a parallelogram. We need to find the area of one trapezoid using the area of the parallelogram. 2. **Understanding the shapes:** The parallelogram is formed by joining two identical trapezoids. The height of the parallelogram is given as 4 ft. 3. **Formula for area of parallelogram:** $$\text{Area} = \text{base} \times \text{height}$$ 4. **Calculate the base of the parallelogram:** The base is the sum of the two bases of the trapezoids joined together: 3 ft + 6 ft = 9 ft. 5. **Calculate the area of the parallelogram:** $$\text{Area}_{parallelogram} = 9 \times 4 = 36 \text{ ft}^2$$ 6. **Relation between trapezoid and parallelogram areas:** Since the parallelogram is made of two identical trapezoids, $$\text{Area}_{parallelogram} = 2 \times \text{Area}_{trapezoid}$$ 7. **Find the area of one trapezoid:** $$\text{Area}_{trapezoid} = \frac{\text{Area}_{parallelogram}}{2} = \frac{36}{2} = 18 \text{ ft}^2$$ **Final answer:** The area of one trapezoid is **18 square feet**.