The quadrilaterals ABCD and JKLM are similar.Find the length x of KL.

Given:
The quadrilaterals ABCD and JKLM are similar.
Required:
To find the value of x.
Explanation:
Clearly the given quadrilaterals are similar.
Therefore,
[tex]\frac{BC}{KL}=\frac{BA}{KJ}[/tex]So,
[tex]\begin{gathered} \frac{5}{x}=\frac{4}{2.8} \\ \\ 5\times2.8=4x \\ \\ 4x=14 \\ \\ x=\frac{14}{4} \\ \\ x=3.5 \end{gathered}[/tex]Final Answer:
[tex]x=3.5[/tex]