Answer:
\(CD=6\frac{2}{3}\ units\)
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
\(\frac{BC}{BX}=\frac{CD}{XY}\)
in this problem we have
\(BC=10\ units\)
\(BX=6\ units\)
\(XY=4\ units\)
Substitute the values and solve for CD
\(\frac{10}{6}=\frac{CD}{4}\)
\(CD=4*10/6\)
\(CD=20/3=6\frac{2}{3}\ units\)
