The scale of a map is given as 1:200000.Two cities are 3cm apart on the map. Calculate the distance between them
The scale of the map is given as 1:200000. This means that 1 centimeter on the map represents 200,000 centimeters in real life.
If two cities are 3 centimeters apart on the map, we can calculate the distance between them in real life as follows:
Distance on the map = 3 centimeters
Scale of the map = 1:200000
Distance in real life = Distance on the map x Scale of the map
Distance in real life = 3 cm x 200000 = 600000 centimeters
Therefore, the distance between the two cities in real life is 600000 centimeters.
To calculate the actual distance between the two cities, we need to use the scale provided on the map. In this case, the scale is given as 1:200000, which means that 1 unit on the map represents 200000 units in the real world.
We are told that the two cities are 3cm apart on the map. To find the actual distance between them, we can set up a proportion:
1 cm on the map / 200000 units in the real world = 3 cm on the map / x units in the real world
Cross-multiplying, we get:
1 cm * x units = 3 cm * 200000 units
Simplifying, we have:
x = 3 cm * 200000 units
x = 600,000 units
Therefore, the distance between the two cities in the real world is 600,000 units.
Lets do it in meters.
2000000x.03 meters apart.