Question

In Beverly Hills, two Hollywood actors own houses that are just 8 kilometers apart. On a map of stars' houses, these two houses are 4 centimeters away from each other. What is the map's scale?

Write your answer as a decimal or whole number.

1 centimeter =
kilometers

Answer 1

To find the map's scale, we need to determine how many kilometers are represented by 1 centimeter on the map.

Given:

- The real distance between the two houses is 8 kilometers.
- The distance on the map between the two houses is 4 centimeters.

To find the map scale in kilometers per centimeter, we can set up the following proportion:

\[
\text{Scale} = \frac{\text{Distance in kilometers}}{\text{Distance in centimeters}} = \frac{8 \text{ kilometers}}{4 \text{ centimeters}}
\]

Calculating the scale:

\[
\text{Scale} = \frac{8}{4} = 2
\]

Thus, the scale is:

1 centimeter = 2 kilometers.