A map is drawn to a scale 0f 1 :20 000. Calculate the area of a a lake that measures 3 square km
1 meter/20,000 meters
is 1 meter/20 km
square that for area instead of length
1 meter^2/400 km^2
so (3/400) square meter
or in centimeters
1 sq meter = 10,000 sq cm
so
30,000/400 = 300/4 = 75 cm^2
To calculate the area of the lake on the map, we need to consider the scale of the map. The scale of 1:20,000 means that 1 unit on the map represents 20,000 units in the actual world.
Since the lake measures 3 square kilometers in real life, we need to figure out the corresponding area on the map.
First, convert the 3 square kilometers to square units that match the scale of the map. Since 1 square kilometer is equal to 1,000,000 square meters, we have:
3 square kilometers = 3 x 1,000,000 square meters
= 3,000,000 square meters
Next, convert the square meters to square units that match the map scale. Since 1 unit on the map represents 20,000 units in the actual world, we have:
3,000,000 square meters = 3,000,000 / 20,000 square units
= 150 square units
Therefore, the area of the lake on the map is 150 square units.