Question

4 There are 30 kilometers of actual hiking trails represented on a map. The map uses a scale in which 3 centimeters represents 2 kilometers. What is the length of the trails on the map?

Answer 1

The Solution:

Given:

`\begin{gathered} 3cm=2km \\ xkm=30km \\ \text{ where x represents the length of the trail on the map.} \end{gathered}`

We are asked to find the value of x.

So,

`(3)/(x)=(2)/(30)`

Solving the above equation, we get

`\begin{gathered} 2x=3*30 \\ 2x=90 \end{gathered}`

Dividing both sides by 2, we get

`x=(90)/(2)=45cm`

Thus, the length of the trail on the map is 45 centimeters.