2. The scale of a map is 1 : 20, 000. Calculate the
area, in square centimeters, on the map of a forest
reserve which cover 85kš2
.
To calculate the area on the map, we need to first convert the area of the forest reserve from square meters to square centimeters, since the scale of the map is in centimeters.
1 square meter = 10,000 square centimeters
85,000 square meters = 85,000 * 10,000 = 850,000,000 square centimeters
Now, we need to use the scale of the map (1:20,000) to calculate the corresponding area on the map.
1 unit on the map = 20,000 units in real life
Area on the map = (850,000,000 square centimeters) / (20,000)^2
Area on the map = 850,000,000 / 400,000,000
Area on the map = 2.125 square centimeters
Therefore, the area on the map of the forest reserve which covers 85,000 square meters is 2.125 square centimeters.