The scale of the map is 1: 1,000,000. What is the distance between cities a and d if it is 2cm on the map?
April 30, 2021 | education
| The scale of the map shows how many real centimeters on the terrain are displayed in 1 cm of the map.
Since the map has a scale of 1: 1,000,000, it means that 1,000,000 of the area is shown in 1 cm of the map.
We know that the distance between cities on the map is 2 cm, which on the ground will be equal to:
2 * 1,000,000 = 2,000,000 cm.
We translate the distance from centimeters to kilometers.
Since 1 km – 1000 m, and 1 m – 100 cm, we get:
2,000,000 / (1,000 * 100) = 2,000,000 / 100,000 = 20 km.
Answer: The distance between cities is 20 km.
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