Question

The scale map shows that 5 centimeters =2 kilometers.What number of centimeters on the map represents an actual distance of 5 kilometers?

Answer 1

Therefore 12.5 centimeters on the map represents an actual distance of 5 kilometers.

Explanation:

Given:

The scale map shows that

5 centimeters =2 kilometers.

To Find:

What number of centimeters on the map represents an actual distance of 5 kilometers?

Solution:

Let 'x' cm be on the map to represent 5 kilometer.

Given:

5 centimeters = 2 kilometers.

Therefore,

x cm = 5 kilometer

Soon Equality of proportion we get

`(5)/(x)= (2)/(5)\\ \\x=(5* 5)/(2)=(25)/(2)=12.5\ cm\\\\\therefore x = 12.5\ cm`

Therefore 12.5 centimeters on the map represents an actual distance of 5 kilometers.