the map is 40 kilometers. On the map, the distance between these two points is represented as 5 centimeters.
If the length on the map represents the actual distance, what is the scale factor of the map
To find the scale factor of the map, we need to determine the ratio of the represented distance on the map to the actual distance.
Given that the map is 40 kilometers and the distance between the two points is represented as 5 centimeters on the map, we can set up a proportion:
40 km / 5 cm = x km / 1 cm
Cross-multiplying, we get:
5 cm * x km = 40 km * 1 cm
5x km * cm = 40 km * cm
Dividing both sides by 'cm', we have:
5x km = 40 km
Finally, dividing both sides by '5 km', we find:
x = 40 km / 5 km
x = 8
Therefore, the scale factor of the map is 8.