# One segment on the map is 4.5cm long and the other 6.5cm. Find the length of the first segment

**One segment on the map is 4.5cm long and the other 6.5cm. Find the length of the first segment on the terrain if the second segment on the terrain has a length of 7.8 km.**

Method 1.

Find the ratio of the lengths of the second and first segments on the map.

6.5 / 4.5 = 1 4/9.

In this case, the length of the first segment on the ground will be 1 4/9 times less than the length of the second.

We get:

7.8 / 1 4/9 = 5.4 cm.

Method 2.

We translate the length of the second segment on the ground in centimeters.

7.8 * 100,000 = 780,000 cm.

Find the scale of the map.

We divide the distance in centimeters by the length of the segment.

780,000 / 6.5 = 120,000.

The scale of the map is 1: 120000.

Hence the length of the first segment:

4.5 * 120,000 = 540,000 cm.

540,000 / 100,000 = 5.4 km.

Answer: 5.4 km.