The scale of a map is given as 1 : 50,000. Two villages are 5 cm apart on the map. Find the actual distance between them.
Question
The scale of a map is given as 1 : 50,000. Two villages are 5 cm apart on the map. Find the actual distance between them.
Solution
Sure, here's how to solve this problem:
Step 1: Understand the scale. The scale of the map is 1:50,000. This means that 1 cm on the map represents 50,000 cm in real life.
Step 2: Apply the scale to the distance. The two villages are 5 cm apart on the map. So, to find the actual distance, you multiply the map distance by the scale.
Calculation: 5 cm (map distance) * 50,000 (scale) = 250,000 cm
Step 3: Convert the distance to a more understandable unit. There are 100 cm in a meter and 1000 meters in a kilometer. So, 250,000 cm is equal to 2500 meters or 2.5 kilometers.
So, the actual distance between the two villages is 2.5 kilometers.
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