On a map with a scale of 1: 4,500,000, the distance from Brussels to Amsterdam is 4 cm

| May 19, 2021 | education

On a map with a scale of 1: 4,500,000, the distance from Brussels to Amsterdam is 4 cm, and on a map with a scale of 1: 750,000, the distance from Brussels to Maastricht is 12.4 cm. Which city, Amsterdam or Maastricht, is closer to Brussels and how many kilometers?

To solve this problem, we first translate the map scale from centimeters to kilometers.

1 km – 1000 m, and 1 m – 100 m.

In this case, the scale of the first map will be:

4500000 / (1000 * 100) = 4500000/100000 = 45 km in 1 cm.

The scale of the second map will be equal to:

750,000 / 100,000 = 7.5 km in 1 cm.

We find the distance between cities.

To do this, multiply the length of the segment on the map by the resulting scale.

4 * 45 = 180 km (from Amsterdam to Brussels).

12.4 * 7.5 = 93 km (from Brussels to Maastricht).

The difference in distance will be:

180 – 93 = 87 km.

Answer: Maastricht is 87 km closer.



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