the scale of a map is 1;20,000. calculate the area, in square centimeters, on the map of a forest reserve which covers 85 kilo meter rest up power 2
"85 kilo meter rest up power 2" ?? -- you mean 85 km^2
area grows as the scale factor squared.
20,000cm = 200m = 0.2km
So, each cm^2 represents (0.2km)^2 = 0.04 km^2
85/0.04 = ____ cm^2
or,
5cm represents 1 km
so, 25cm^2 = 1 km^2
85 * 25 = ____ cm^2
Need help
To calculate the area on the map, we need to convert the given area (in square kilometers) to square centimeters.
1 kilometer (km) = 100,000 centimeters (cm)
First, let's convert the area from square kilometers to square centimeters:
85 km^2 = 85,000,000,000 cm^2
Next, since the scale of the map is 1:20,000, it means that 1 cm on the map represents 20,000 cm in reality.
To find the area on the map in square centimeters, we need to divide the actual area by the square of the scale factor:
Map area = Actual area / (Scale factor)^2
Map area = 85,000,000,000 cm^2 / (20,000)^2
Map area = 85,000,000,000 cm^2 / 400,000,000 cm^2
Now, we can calculate the map area:
Map area = 212.5 cm^2
Therefore, the area on the map of the forest reserve is 212.5 square centimeters.
To calculate the area on the map, you'll need to convert the given area of the forest reserve from square kilometers to square centimeters using the given scale of the map.
1 cm on the map represents 20,000 cm in reality. So, to convert from square kilometers to square centimeters, we need to multiply the given area by (100,000)^2.
First, convert the area from square kilometers to square centimeters:
85 km^2 = 85,000,000 m^2
1 km = 100,000 cm
So, 85,000,000 m^2 = (85,000,000 x 100,000 x 100,000) cm^2
Next, calculate the area on the map:
Area on map = (85,000,000 x 100,000 x 100,000) cm^2 / (20,000)
Let's calculate:
Area on map = (8.5 x 10^13) cm^2 / 20,000
Area on map ≈ 4.25 x 10^9 cm^2
Therefore, the area on the map of the forest reserve is approximately 4.25 x 10^9 square centimeters.