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 [tex]\times[/tex] 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:
[tex]\frac{d}{14}=\frac{21}{20}[/tex]
Multiplying both sides by 14, we get:
[tex]\frac{d}{14}\times 14=\frac{21}{20}\times 14\\d=\frac{21\times 14}{20}=\frac{147}{10}=14.7\ km[/tex]
Therefore, the actual distance of 14 mm is 14.7 km.
