1. **Problem:** Calculate the scale of a map where the distance between Braga and Guimarães is 4 cm on the map, but the real distance is 16 km. 2. **Formula:** The scale of a map is given by the ratio: $$\text{Scale} = \frac{\text{Distance on map}}{\text{Real distance}}$$ 3. **Convert real distance to the same units:** Since the map distance is in centimeters, convert 16 km to centimeters: $$16\ \text{km} = 16 \times 1000 \ \text{m} = 16000 \ \text{m}$$ $$16000 \ \text{m} = 16000 \times 100 \ \text{cm} = 1,600,000 \ \text{cm}$$ 4. **Calculate the scale:** $$\text{Scale} = \frac{4 \ \text{cm}}{1,600,000 \ \text{cm}}$$ 5. **Simplify the fraction:** $$\frac{4}{1,600,000} = \frac{\cancel{4}}{\cancel{1,600,000}} = \frac{1}{400,000}$$ 6. **Interpretation:** The scale is 1:400,000, meaning 1 cm on the map represents 400,000 cm (or 4 km) in reality. **Final answer:** The scale of the map is 1:400,000.