Answer:
LP=18
Explanation:
To find the length of LP, we use the Triangle Proportionality Theorem.
Applying this to LPN, we have:
[tex]\frac{LQ}{QP}=\frac{LM}{MN}[/tex]
Substituting the given values, we have:
[tex]\begin{gathered} \frac{6}{PQ}=\frac{11}{22} \\ \frac{6}{PQ}=\frac{1}{2} \\ PQ=6\times2 \\ PQ=12 \end{gathered}[/tex]
Therefore:
[tex]\begin{gathered} LP=LQ+PQ \\ =6+12 \\ =18\text{ units} \end{gathered}[/tex]
