1. **State the problem:** We have a scale of 1 : 500, meaning 1 unit on the drawing represents 500 units in reality. 2. **Given:** Actual area = 125,000 m². We need to find the area on the drawing in cm². 3. **Understand the scale:** The scale 1 : 500 applies to lengths. For areas, the scale factor is squared. 4. **Convert actual area to drawing area:** $$\text{Area on drawing} = \frac{\text{Actual area}}{500^2}$$ 5. **Calculate:** $$500^2 = 250,000$$ $$\text{Area on drawing} = \frac{125,000}{250,000} = \frac{125,000}{\cancel{250,000}} = \frac{1}{2} = 0.5 \text{ m}^2$$ 6. **Convert drawing area from m² to cm²:** Since 1 m = 100 cm, then $$1 \text{ m}^2 = 100^2 = 10,000 \text{ cm}^2$$ So, $$0.5 \text{ m}^2 = 0.5 \times 10,000 = 5,000 \text{ cm}^2$$ **Final answer:** The area of the field on the drawing is **5,000 cm²**.