Question

On a map with a scale 1:100000, the distance between two cities is 12 cm. What would be the distance between these two cities on a different map with a scale 1:3000000

Answer 1

Explanation:

To find the distance between the two cities on a map with a scale of 1:3,000,000, you can use the concept of proportional scaling.

First, determine the actual distance between the two cities using the scale of 1:100,000. On the 1:100,000 scale map, the distance is 12 cm.

Now, you want to find the equivalent distance on a map with a scale of 1:3,000,000. Let's call this distance "x."

Set up a proportion using the scales:

(Distance on the 1:100,000 scale map) / (Distance on the 1:3,000,000 scale map) = (Scale of the 1:100,000 map) / (Scale of the 1:3,000,000 map)

Plug in the known values:

(12 cm) / x = (1/100,000) / (1/3,000,000)

Simplify and solve for x:

(12 cm) / x = (3,000,000) / 100,000

(12 cm) / x = 30

Now, isolate x:

x = 12 cm / 30

x = 0.4 cm

So, on a map with a scale of 1:3,000,000, the distance between these two cities would be approximately 0.4 cm.