An island has an area of 50 square kilometre.what would be its area on a map of scale 1:20000?
(1/20000)^2 * 50 km^2
To find the area of the island on a map with a scale of 1:20,000, you need to understand the relationship between the real-world area and the map area.
In a scale, the first number represents the size of the actual object, and the second number indicates the corresponding size on the map. In this case, a scale of 1:20,000 means that every 1 unit on the map represents 20,000 units in reality.
To calculate the area on the map, you can use the concept of ratios. Since the scale is 1:20,000, it implies that every area unit on the map is equal to 20,000 square area units in reality.
The area of the island in reality is given as 50 square kilometers. However, to convert it to a consistent unit with the map scale, we need to convert it to square units.
1 square kilometer is equal to 1,000,000 square meters. Therefore, 50 square kilometers is equal to 50,000,000 square meters.
Since we know that 1 square unit on the map represents 20,000 square units in reality, we can divide the real-world area by the scale factor to get the area on the map.
Area on the Map = Real-world Area / Scale Factor
Area on the Map = 50,000,000 / 20,000
Area on the Map = 2500 square units
Therefore, the area of the island on a map with a scale of 1:20,000 would be 2500 square units.