Question

A map uses a scale of 1 centimeter = 200 meters.

If it is 5 kilometers between two locations, how many centimeters on the map is it?

2.5 cm
1,000 cm
25 cm
40 cm

Answer 1

To find out how many centimeters on the map correspond to 5 kilometers in real distance, follow these steps:

1. Convert kilometers to meters:
\[
5 \text{ kilometers} = 5,000 \text{ meters}
\]

2. Use the scale of the map, where 1 centimeter corresponds to 200 meters:
\[
\text{Map distance in cm} = \frac{\text{Real distance in meters}}{\text{Scale (in meters per cm)}} = \frac{5000 \text{ meters}}{200 \text{ meters/cm}}
\]

3. Calculate:
\[
\text{Map distance in cm} = \frac{5000}{200} = 25 \text{ cm}
\]

Therefore, the distance between the two locations on the map is **25 cm**.