Given:
Quadrilateral IJKL is similar to quadrilateral MNOP.
To find:
The measure of side NO.
Solution:
If two figures are similar, then the corresponding sides are similar.
Quadrilateral IJKL is similar to quadrilateral MNOP. So,
[tex]\dfrac{IL}{MP}=\dfrac{JK}{NO}[/tex]
Putting the given values, we get
[tex]\dfrac{9}{35}=\dfrac{16}{NO}[/tex]
[tex]9\times NO=16\times 35[/tex]
[tex]9NO=560[/tex]
Divide both sides by 9.
[tex]NO=\dfrac{560}{9}[/tex]
[tex]NO=62.222...[/tex]
[tex]NO\approx 62.2[/tex]
Therefore, the measure of side NO is 62.2 units.
