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

Question

asked Jan 28, 2020 119k views

1 Answer

Imran Zahoor · Answer 1 · 2020-02-02T08:41:31+0000

Answer:

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.