Answer:
[tex]CD=6\frac{2}{3}\ units[/tex]
Step-by-step explanation:
we know that
If rectangle ABCD is similar to rectangle ZBXY
then
the ratio of their corresponding sides is equal and is called the scale factor
so
[tex]\frac{BC}{BX}=\frac{CD}{XY}[/tex]
in this problem we have
[tex]BC=10\ units[/tex]
[tex]BX=6\ units[/tex]
[tex]XY=4\ units[/tex]
Substitute the values and solve for CD
[tex]\frac{10}{6}=\frac{CD}{4}[/tex]
[tex]CD=4*10/6[/tex]
[tex]CD=20/3=6\frac{2}{3}\ units[/tex]
