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

Here's how to solve this problem:<br /><br />1. **Convert the actual area to square meters:**<br /> 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.<br /><br />2. **Understand the scale:**<br /> 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.<br /><br />3. **Calculate the area on the map:**<br /> 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.<br /><br />Therefore, the area of the game park on the map is 0.0004 m².<br />