Question

5. The scale of a map says that 4 cm represents 5 km.

a. What distance on the map (in centimeters) represents an actual distance of 4 kilometers?
answer: 3.2

I just need the answer to B:
b. What is the actual number of kilometers that is represented by 5 centimeters on the map?

Answer 1

6.25 km

Explanation:

Given a map scale of 4 cm : 5 km, you want to know the actual distance represented by 5 cm on the map.

Proportion

The map and ground distances are proportional, so we have ...

ground/map = 5 km/(4 cm) = x/(5 cm)

Multiplying by 5 cm gives ...

x = (5 cm)(5 km)/(4 cm) = 25/4 km = 6.25 km

The actual number of km represented by 5 cm on the map is 6.25 km.