Question

If the scale of a map is 2 centimeters=21 kilometers, then what is the actual distance of 14 millimeters?​

Answer 1

14.7 km

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:

`(d)/(14)=(21)/(20)`

Multiplying both sides by 14, we get:

`(d)/(14)* 14=(21)/(20)* 14\\d=(21* 14)/(20)=(147)/(10)=14.7\ km`

Therefore, the actual distance of 14 mm is 14.7 km.