The side length of square ABCD is 3 units
The side length of square A'B'C'D' is 1 unit
The scale factor is by what number we multiply the side length of ABCD to get A'B'C'D'.
Let that be "x", so we can say >>>
3 times "what number" to get 1
or,
3 times x to get 1
In equation, that is:
[tex]3x=1[/tex]
Solving for x:
[tex]\begin{gathered} 3x=1 \\ x=\frac{1}{3} \end{gathered}[/tex]
Hence,
The scale factor is
[tex]\frac{1}{3}[/tex]
