Question

Use Proportions to solve the question below

Find the distance between Brisbane and
Marion on a map with a scale of 2 cm :
km if they are actually 21 km apart.
apart

Answer 1

By setting up a proportion using the map scale of 2 cm : 1 km and the actual distance of 21 km, it is determined that the distance on the map should be 42 centimeters.

Step-by-step explanation:

To find the distance on a map using proportions, we compare the scale of the map with the actual distance. The scale given is 2 cm : 1 km, and the actual distance between Brisbane and Marion is 21 km.

To set up the proportion, we write it as follows:

[Scale on map] / [Scale ratio] = [Map Distance] / [Actual Distance]

So, we have:

2 cm / 1 km = x cm / 21 km

Cross multiply to solve for x:

1 km * x cm = 2 cm * 21 km

x = (2 cm * 21 km) / 1 km

x = 42 cm

Therefore, the distance between Brisbane and Marion on the map should be 42 centimeters.