Question

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

Answer 1

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 $\times$ 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:

$\frac{d}{14}=\frac{21}{20}$

Multiplying both sides by 14, we get:

$\frac{d}{14}\times 14=\frac{21}{20}\times 14\\d=\frac{21\times 14}{20}=\frac{147}{10}=14.7\ km$

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