A map has a scale of 1:25,000. On this map , a square piece of land is represented by an area of 2cm². Calculate the actual area of the land in hectares
To calculate the actual area of the land in hectares, we need to first convert the area shown on the map to the actual area.
Given that the scale of the map is 1:25,000, this means that 1cm on the map represents 25,000cm in real life. Therefore, to convert the area of 2cm² on the map to the actual area, we need to square the scale factor and multiply it by the given area on the map:
(25,000)^2 x 2cm² = 1,250,000,000cm²
Next, we need to convert the actual area from square centimeters to hectares.
1 hectare is equal to 10,000 square meters. Therefore, to convert square centimeters to hectares, we divide by 10,000:
1,250,000,000cm² ÷ 10,000cm² = 125,000 hectares
So, the actual area of the land is 125,000 hectares.