On a map whose scale is 1:100000,a town occupies an area of 6cm square.find the actual area in hectares?

To find the actual area in hectares, we need to first convert the area on the map to the actual area using the scale.

Given:
Scale: 1:100000
Area on map: 6 cm^2

To find the actual area in hectares, we need to convert the area on the map to the actual area using the scale.

1 cm on the map represents 100000 cm in reality.

So, 6 cm on the map represents:
6 cm * 100000 = 600000 cm

Now, we need to convert the area from cm^2 to hectares. 1 hectare is equal to 10000 m^2.

So, 600000 cm^2 is equal to:
600000 cm^2 * (1 m / 100 cm)^2 = 6000 m^2

Now, we need to convert the area from m^2 to hectares. 1 hectare is equal to 10000 m^2.

So, 6000 m^2 is equal to:
6000 m^2 / 10000 = 0.6 hectares

Therefore, the actual area of the town is 0.6 hectares.

Step 1: Convert the area on the map to square kilometers.

1 cm on the map represents 100,000 cm (1 km) on the ground.

6 cm² on the map = (6 cm)² x (1 km / 100,000 cm)² = 0.000036 km²

Step 2: Convert the area from square kilometers to hectares.

1 hectare = 0.01 km²

0.000036 km² = (0.000036 km²) x (1 hectare / 0.01 km²) = 0.0036 hectares

Therefore, the actual area of the town is 0.0036 hectares.