1. **State the problem:** We are given the real distance between a village shop and a park as 1.2 km, and the distance on the map as 4 cm. We need to find the scale of the map as a ratio in simplest form. 2. **Understand the scale:** The scale of a map is the ratio of a distance on the map to the corresponding real-world distance. It is usually written as $\text{Scale} = \frac{\text{Distance on map}}{\text{Real distance}}$. 3. **Convert units to be consistent:** The real distance is 1.2 km. Convert kilometers to centimeters because the map distance is in centimeters. $$1\text{ km} = 1000\text{ m} = 1000 \times 100\text{ cm} = 100000\text{ cm}$$ So, $$1.2\text{ km} = 1.2 \times 100000 = 120000\text{ cm}$$ 4. **Write the scale ratio:** $$\text{Scale} = \frac{4\text{ cm}}{120000\text{ cm}}$$ 5. **Simplify the ratio:** Divide numerator and denominator by 4: $$\frac{\cancel{4}}{\cancel{4}} : \frac{120000}{4} = 1 : 30000$$ 6. **Final answer:** The scale of the map is $1:30000$. This means 1 cm on the map represents 30000 cm (or 300 m) in real life.