Answer:
[tex]NO\approx 15.1[/tex]
Step-by-step explanation:
In similar figures, the corresponding sides will always be proportional to each other.
We know that quadrilateral HIJK is similar to LMNO. This means that:
[tex]\displaystyle \frac{KH}{OL}=\frac{JK}{NO}[/tex]
By substitution:
[tex]\displaystyle \frac{13}{49}=\frac{4}{NO}[/tex]
Solve for NO. Cross-multiply:
[tex]13NO=196[/tex]
Therefore:
[tex]\displaystyle NO=\frac{196}{13}\approx15.1[/tex]
