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

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:

Multiplying both sides by 14, we get:

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

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