Let L be the original lenght of segment VW. Taking this lenght and dilating it by a scale of 4 will give us the expression:
[tex]4L[/tex]
If we know that after the dilation we'll have a lenght of 80, we'll have the equation:
[tex]4L=80[/tex]
Solving for L,
[tex]\begin{gathered} 4L=80\rightarrow L=\frac{80}{4} \\ \\ \Rightarrow L=20 \end{gathered}[/tex]
Therefore, we can conclude that the original length of segment VW was 20
