Question

The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual distance, x, represented by 20 centimeters on the map?

Answer 1

Answer: The required proportion is

`(10)/(4)=(x)/(20).`

Step-by-step explanation: Given that the scale on a map shows that 10 kilometers is represented by 4 centimeters.

We are to find the proportion can be used to find the actual distance, x, represented by 20 centimeters on the map.

We have

4 centimeters on the map = 10 kilometers.

So, 1 centimeter on the map
`=(10)/(4)~\textup{kilometers}.`

Also,

20 centimeters on the map = x kilometers.

So, 1 centimeter on the map
`(x)/(20)~~\textup{kilometers}.`

Therefore, we must have

`(10)/(4)=(x)/(20).`

Thus, the required proportion is

`(10)/(4)=(x)/(20).`

Answer 2

10/4=x/20
Your answer will be x=50 kilometers