Answer:
The scale factor is equal to [tex]1.5[/tex]
Step-by-step explanation:
we know that
If rectangle JKLM is similar to rectangle WXYZ
then
the ratio of their corresponding sides is equal and is called the scale factor
so
In this problem
[tex]\frac{ZW}{JM} =\frac{WX}{JK}[/tex]
In this problem we have
[tex]ZW=13.5\ cm[/tex]
[tex]JM=9\ cm[/tex]
[tex]WX=18\ cm[/tex]
[tex]JK=12\ cm[/tex]
Substitute
[tex]\frac{13.5}{9} =\frac{18}{12}[/tex]
[tex]1.5=1.5[/tex] -----> is true
The rectangles are similar
The scale factor is equal to [tex]1.5[/tex]
