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15. The Scale of a Map Is 1:250000 . Calculate the Area in M^2 of a Game Park on the Map Whose Actual Area Is 25km^2

Question

15. The scale of a map is 1:250000 . Calculate the area in m^2 of a game park on the map whose actual area is 25km^2

Solution

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Answer

Here's how to solve this problem:1. **Convert the actual area to square meters:** Since 1 km = 1000 m, then 1 km² = (1000 m)² = 1,000,000 m². Therefore, 25 km² = 25 * 1,000,000 m² = 25,000,000 m².2. **Understand the scale:** A scale of 1:250,000 means that 1 unit on the map represents 250,000 units on the ground. Since area is a two-dimensional measurement, we need to square the scale factor.3. **Calculate the area on the map:** The scale for area is (1/250,000)² = 1/62,500,000,000. To find the area on the map, multiply the actual area by the squared scale factor: 25,000,000 m² * (1/62,500,000,000) = 0.0004 m².Therefore, the area of the game park on the map is 0.0004 m².