A map of Kano is drawn to scale 1:50000.on the map the airport covers an area of 8cm².find the true area of the airport in hectares
To find the true area of the airport in hectares, we need to convert the 8 cm² shown on the map to its actual area size.
Since the map is drawn at a scale of 1:50000, every 1 cm on the map represents 50000 cm in real life.
Therefore, to find the actual area of the airport, we multiply the area on the map by the square of the scale factor:
Actual area of airport = (8 cm²) * (50000)²
Actual area of airport = 8 * 50000 * 50000
Actual area of airport = 2,000,000,000 cm²
To convert this to hectares, we divide by 10000 (since 1 hectare = 10000 m²):
Actual area of airport in hectares = 2,000,000,000 cm² / 10000
Actual area of airport in hectares = 200,000 hectares
Therefore, the true area of the airport in hectares is 200,000 hectares.