# A 2 cm segment on the map corresponds to a distance of 30 km on the ground. What is the distance on the ground

August 22, 2021 | education

| **A 2 cm segment on the map corresponds to a distance of 30 km on the ground. What is the distance on the ground corresponding to the segment on the map with a length of 4.5 cm?**

To solve this problem, remember that the scale is a number that shows how many centimeters on the ground correspond to one centimeter on the map.

First, let’s convert kilometers to centimeters, 1 km = 100,000 cm

30 km = 3000000 cm

2: 3,000,000 = 1: 1,500,000 (reduced by 2)

Now, knowing the scale of the map, we can find which segment corresponds to the length of 4.5 on the map. Knowing that one cm on the map corresponds to 1,500,000, we calculate:

4.5 * 1500000 = 6750000

Answer: 6750000 cm

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