Question

If the scale on a map is 1:200,000, and the length of a path on the map is 3 cm, what is the length of the path in real life? Give your answer in kilometers.

A) 0.000015 km
B) 0.6 km
C) 6 km
D) 600 km

Answer 1

The length of the path in real life would be 6 kilometers, given that the map scale is 1:200,000 and the path measures 3 cm on the map.

Step-by-step explanation:

If the scale on a map is 1:200,000, and the length of a path on the map is 3 cm, the actual length of the path can be calculated as follows:

To convert the map scale to a usable unit ratio, remember that 1:200,000 means 1 cm on the map corresponds to 200,000 cm in real life.

1. Convert the map scale to a ratio: 1 cm / 200,000 cm
2. Multiply the length of the path on the map by the scale ratio: 3 cm * 200,000 cm/cm = 600,000 cm in real life.
3. Convert the real-life measurement from centimeters to kilometers: 600,000 cm / 100,000 cm/km = 6 km.

Therefore, the real-life length of the path is 6 kilometers.