The scale of the map is 1: 200000. the distance between 2 villages on the map is 10 cm

The scale of the map is 1: 200000. the distance between 2 villages on the map is 10 cm. What is the distance between these villages on the ground?

Determine the distance on the ground in centimeters
On a map with a scale of 1: 200000, 1 centimeter of the map displays 200000 centimeters on the ground.

In this case, since the distance between villages on the map is 10 cm, the distance on the ground will be equal to the product.

We get:

200,000 * 10 = 2,000,000 cm.

Convert distance to meters
Since 1 meter is 100 centimeters, the distance in meters will be equal to the ratio.

2,000,000 / 100 = 20,000 meters.

Converting distance to kilometers
Since there are 1000 meters in 1 kilometer, the distance between the villages will be equal to:

20,000/1000 = 20 km.

Answer:

The distance between villages on the ground is 20 km.