Question

The scale on a map states that 1 centimeter corresponds to 50 kilometers. On the map, two cities are 1.9cm apart. Find the actual distance.

Answer 1

To find the actual distance between two cities that are 1.9 cm apart on a map with a scale of 1 cm to 50 km, multiply the map distance by the scale factor, resulting in an actual distance of 95 kilometers.

Step-by-step explanation:

The two cities on the map are 1.9 cm apart, and the scale on the map indicates that 1 cm corresponds to 50 kilometers in reality. To find the actual distance between the cities, we need to multiply the map distance by the scale factor.

First, write the scale as a ratio:

1 cm : 50 km

Then, multiply the map distance by the scale factor:

1.9 cm × 50 km/cm = 95 km (actual distance)

Therefore, the actual distance between the two cities is 95 kilometers.