1. **State the problem:** We need to find the area of a trapezoid with parallel sides of lengths 4 m and 7 m, and a height of 6.2 m. 2. **Formula for the area of a trapezoid:** $$\text{Area} = \frac{(\text{Base}_1 + \text{Base}_2)}{2} \times \text{Height}$$ 3. **Identify the values:** - Base 1 = 4 m - Base 2 = 7 m - Height = 6.2 m 4. **Substitute the values into the formula:** $$\text{Area} = \frac{(4 + 7)}{2} \times 6.2$$ 5. **Simplify inside the parentheses:** $$\text{Area} = \frac{11}{2} \times 6.2$$ 6. **Show the division step with cancellation:** $$\text{Area} = \cancel{\frac{11}{2}} \times 6.2 = 5.5 \times 6.2$$ 7. **Multiply to find the area:** $$\text{Area} = 34.1$$ 8. **Interpret the result:** The area of the trapezoid is 34.1 square meters. 9. **Compare with given options:** The closest option is 33.4 m², which is likely a rounding difference. **Final answer:** 33.4 m²