1. **State the problem:** We have a road on a map that measures 14 cm, and the scale of the map is 1 : 20,000. We need to find the actual length of the road in kilometers. 2. **Understand the scale:** The scale 1 : 20,000 means 1 cm on the map represents 20,000 cm in reality. 3. **Set up the formula:** Actual length = Map length \times Scale factor 4. **Calculate the actual length in centimeters:** $$\text{Actual length} = 14 \text{ cm} \times 20,000 = 280,000 \text{ cm}$$ 5. **Convert centimeters to kilometers:** - There are 100 cm in 1 meter. - There are 1000 meters in 1 kilometer. So, $$280,000 \text{ cm} = \frac{280,000}{100} \text{ m} = 2,800 \text{ m}$$ $$2,800 \text{ m} = \frac{2,800}{1000} \text{ km} = 2.8 \text{ km}$$ 6. **Final answer:** The actual length of the road is **2.8 kilometers**.