1. **State the problem:** We are given the area of a triangle as 16.28 square feet and the height as 3.7 feet. We need to find the length of the base. 2. **Formula used:** The area $A$ of a triangle is given by the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Substitute the known values:** $$16.28 = \frac{1}{2} \times \text{base} \times 3.7$$ 4. **Isolate the base:** Multiply both sides by 2 to eliminate the fraction: $$2 \times 16.28 = \cancel{2} \times \frac{1}{\cancel{2}} \times \text{base} \times 3.7$$ $$32.56 = \text{base} \times 3.7$$ 5. **Solve for the base:** Divide both sides by 3.7: $$\frac{32.56}{3.7} = \text{base} \times \frac{\cancel{3.7}}{\cancel{3.7}}$$ $$\text{base} = \frac{32.56}{3.7}$$ 6. **Calculate the value:** $$\text{base} \approx 8.8 \text{ feet}$$ **Final answer:** The length of the base is approximately **8.8 feet**.