If the distance between two places on a map is 2cm, while the distance on land is 4km, the scale of the map is
Question 1 Report
If the distance between two places on a map is 2cm, while the distance on land is 4km, the scale of the map is
Answer Details
The scale of a map is the ratio of the distance on the map to the actual distance on land. It is usually written as a fraction, like 1:100,000, where the first number represents the distance on the map and the second number represents the corresponding distance on land.
To find the scale of the map in question, we need to divide the actual distance on land (4km) by the distance on the map (2cm).
First, we need to convert 4 km to cm:
4 km = 4 x 10^3 m = 4 x 10^3 x 100 cm = 4 x 10^5 cm
Now, we divide the actual distance on land (4 x 10^5 cm) by the distance on the map (2 cm):
(4 x 10^5 cm) / (2 cm) = 2 x 10^5
So the scale of the map is 1 : 2 x 10^5, which is equivalent to 1:200,000.
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