Question

Fairview and Georgetown are 6 cm apart on a map that has a scale of 2 cm = 13 km.

How far apart are the real cities?

Answer 1

To find the real-world distance between Fairview and Georgetown, you set up a proportion using the map scale, calculate the result as 39 kilometers.

Step-by-step explanation:

The distance between Fairview and Georgetown is 6 cm on the map. To find the real-life distance, we use the given scale of the map, which is 2 cm = 13 km. By setting up a proportion, we calculate the actual distance as follows:

• First, write the scale as a fraction: 2 cm / 13 km.
• Next, set up a proportion comparing the map distance to the real distance: 6 cm / x km = 2 cm / 13 km.
• Cross-multiply and solve for x: (6 cm * 13 km) / 2 cm.
• The cm units cancel out, and you're left with: x = (6 * 13) / 2 km.
• So the real distance x is: 39 km.

Therefore, the real-world distance between Fairview and Georgetown is 39 kilometers.