The Solution:
Given:
[tex]\begin{gathered} 3cm=2km \\ xkm=30km \\ \text{ where x represents the length of the trail on the map.} \end{gathered}[/tex]We are asked to find the value of x.
So,
[tex]\frac{3}{x}=\frac{2}{30}[/tex]Solving the above equation, we get
[tex]\begin{gathered} 2x=3\times30 \\ 2x=90 \end{gathered}[/tex]Dividing both sides by 2, we get
[tex]x=\frac{90}{2}=45cm[/tex]Thus, the length of the trail on the map is 45 centimeters.
