Ratio and Proportion. The scale on a map is 1:25,000. I measure 12cm on the map. How far is this in real life, in kilometres.

To determine the real-life distance using the scale provided, follow these steps:

### Step 1: Understand the Scale
The scale 1:25,000 means that 1 unit on the map corresponds to 25,000 units in real life.

### Step 2: Convert the Map Measurement to Real-Life Measurement
If you measure 12 cm on the map, you need to multiply this by the scale factor to get the real-life distance.

\[
\text{Real-life distance} = 12 \, \text{cm} \times 25,000
\]

\[
\text{Real-life distance} = 300,000 \, \text{cm}
\]

### Step 3: Convert Centimeters to Kilometers
Since there are 100,000 cm in a kilometer, divide the real-life distance by 100,000 to convert it to kilometers.

\[
\text{Real-life distance in kilometers} = \frac{300,000 \, \text{cm}}{100,000 \, \text{cm/km}} = 3 \, \text{km}
\]

### Final Answer
The real-life distance is **3 kilometers**.

Would you like more details or have any further questions?

Here are 5 related questions to explore further:
1. How would the real-life distance change if the scale were 1:50,000?
2. If the real-life distance is 10 kilometers, how many centimeters would that be on the map?
3. What is the scale of a map where 1 cm represents 5 kilometers?
4. How do you convert a map scale from a ratio to a word scale (e.g., "1 cm = X km")?
5. How would you calculate the real-life distance if the map measurement is given in inches?

**Tip:** Always ensure your units are consistent when calculating distances using map scales, especially when converting between centimeters, meters, and kilometers.

Understand ratio and proportion with a map scale problem: 1:25,000 scale on a map where 12cm equals how many kilometers in real life. Detailed step-by-step solution provided.

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