1. **Estimate the area of the pond by adding the areas of two trapezoids.** The formula for the area of a trapezoid is: $$\text{Area} = \frac{1}{2} (b_1 + b_2) h$$ where $b_1$ and $b_2$ are the lengths of the two parallel sides (bases), and $h$ is the height. For the top trapezoid: - $b_1 = 40$ yards - $b_2 = 80$ yards - $h = 50$ yards Calculate the area: $$\text{Area}_1 = \frac{1}{2} (40 + 80) \times 50 = \frac{1}{2} \times 120 \times 50$$ $$= 60 \times 50 = 3000 \text{ square yards}$$ For the bottom trapezoid: - $b_1 = 80$ yards - $b_2 = 60$ yards - $h = 50$ yards Calculate the area: $$\text{Area}_2 = \frac{1}{2} (80 + 60) \times 50 = \frac{1}{2} \times 140 \times 50$$ $$= 70 \times 50 = 3500 \text{ square yards}$$ Add the two areas to estimate the total area of the pond: $$\text{Total Area} = 3000 + 3500 = 6500 \text{ square yards}$$ **Final answer:** The approximate area of the pond is $6500$ square yards.