Subjects geometry

Map Distance

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Map Distance


1. The problem states that the map scale is 1:4,000,000, meaning 1 cm on the map represents 4,000,000 cm in reality. 2. The distance between two cities on the map is 5 cm. 3. To find the actual distance, multiply the map distance by the scale factor: $$\text{Actual distance} = 5 \text{ cm} \times 4,000,000 = 20,000,000 \text{ cm}$$ 4. Convert cm to km. Since 100 cm = 1 m and 1000 m = 1 km, then 100,000 cm = 1 km: $$\text{Actual distance in km} = \frac{20,000,000}{100,000} = 200 \text{ km}$$ 5. Therefore, the actual distance between the two cities is 200 km.