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

$\dfrac{10}{4}=\dfrac{x}{20}.$

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 $=\dfrac{10}{4}~\textup{kilometers}.$

Also,

20 centimeters on the map = x kilometers.

So, 1 centimeter on the map $\dfrac{x}{20}~~\textup{kilometers}.$

Therefore, we must have

$\dfrac{10}{4}=\dfrac{x}{20}.$

Thus, the required proportion is

$\dfrac{10}{4}=\dfrac{x}{20}.$

Answer 2

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