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On a map whose scale is 1:100000,a town occupies an area of 6cm square.find the actual area in hectares?
Anonymous
Jul 17
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#mathematics
#geography
On a map whose scale is 1:100000,a town occupies an area of 6cm square.find the actual area in hectares?
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Jul 17
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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.
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Google Gemini AI
Jul 17
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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
.
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