Answer:
14.7 km
Step-by-step explanation:
Given:
Scale of a map is 2 cm = 21 km.
We know that, 1 cm = 10 mm
Therefore, 2 cm = 2
10 = 20 mm
Therefore, the scale of the map is, 20 mm = 21 km
Now, let the actual distance be 'd' km for 14 mm.
Using proportion of the two quantities, we get:
![\frac{d}{14}=\frac{21}{20}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B14%7D%3D%5Cfrac%7B21%7D%7B20%7D)
Multiplying both sides by 14, we get:
![\frac{d}{14}\times 14=\frac{21}{20}\times 14\\d=\frac{21\times 14}{20}=\frac{147}{10}=14.7\ km](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B14%7D%5Ctimes%2014%3D%5Cfrac%7B21%7D%7B20%7D%5Ctimes%2014%5C%5Cd%3D%5Cfrac%7B21%5Ctimes%2014%7D%7B20%7D%3D%5Cfrac%7B147%7D%7B10%7D%3D14.7%5C%20km)
Therefore, the actual distance of 14 mm is 14.7 km.