One of the segments on the map has a length of 8.2 cm, on the ground it corresponds to a distance of 4.1 km.

One of the segments on the map has a length of 8.2 cm, on the ground it corresponds to a distance of 4.1 km. How long will the distance on this map correspond to the distance on the ground equal to 3.7 km?

1. Find the scale of the map by dividing the real value of the segment by the one shown on the map:
4.1 km / 8.2 cm = 4100 m / 0.082 m = 50,000.
2. Since the scale of the map is 1: 50,000, we divide the length of the 3.7 km segment by 50,000, we get its length on the map:
3.7 km / 50,000 = 3700 m / 50,000 = 0.074 m = 7.4 cm.
Answer: a segment equal to 7.4 cm on the map will correspond to the distance of the terrain equal to 3.7 km.