1. **State the problem:** Clarence and Rose want to hire a lawn service that charges 0.03 per square yard to cut their lawn. We need to find the total cost. 2. **Understand the problem:** The lawn area is the lot area minus the areas occupied by the house, driveway, garage, privacy hedge, and goldfish pond. 3. **Convert all dimensions from feet to yards:** Since 1 yard = 3 feet, divide all lengths by 3. 4. **Calculate the total lot area in square yards:** $$\text{Lot area} = \frac{400}{3} \times \frac{300}{3} = \frac{400 \times 300}{9} = \frac{120000}{9} = 13333.33 \text{ sq yards}$$ 5. **Calculate the house area:** The house is a polygon with sides 150 ft, 50 ft, 100 ft, and 150 ft. Assuming it is a rectangle for simplicity, approximate area: $$\text{House area} = \frac{150}{3} \times \frac{100}{3} = 50 \times 33.33 = 1666.67 \text{ sq yards}$$ 6. **Calculate driveway area:** Driveway width = 40 ft = $\frac{40}{3} = 13.33$ yards. Assuming driveway length is the same as garage width (30 ft = 10 yards): $$\text{Driveway area} = 13.33 \times 10 = 133.33 \text{ sq yards}$$ 7. **Calculate garage area:** Garage dimensions 30 ft by 25 ft: $$\text{Garage area} = \frac{30}{3} \times \frac{25}{3} = 10 \times 8.33 = 83.33 \text{ sq yards}$$ 8. **Calculate privacy hedge area:** Privacy hedge length 200 ft, width 20 ft: $$\text{Hedge area} = \frac{200}{3} \times \frac{20}{3} = 66.67 \times 6.67 = 444.44 \text{ sq yards}$$ 9. **Calculate goldfish pond area:** Diameter = 40 ft = $\frac{40}{3} = 13.33$ yards, radius $r = \frac{13.33}{2} = 6.67$ yards. $$\text{Pond area} = \pi r^2 = \pi \times 6.67^2 = \pi \times 44.49 = 139.79 \text{ sq yards}$$ 10. **Calculate total non-lawn area:** $$1666.67 + 133.33 + 83.33 + 444.44 + 139.79 = 2467.56 \text{ sq yards}$$ 11. **Calculate lawn area:** $$13333.33 - 2467.56 = 10865.77 \text{ sq yards}$$ 12. **Calculate cost:** $$\text{Cost} = 10865.77 \times 0.03 = 325.97$$ **Final answer:** The cost to have the lawn cut is approximately 326.