Step 1: Problem
Similar quadrilateral: Find the measure of side NO
Step 2: Concept
Apply the ratio of corresponding sides theorem since the two quadrilaterals are similar.
[tex]\frac{LK}{JK}\text{ = }\frac{PO}{NO}[/tex]Step 3: Method
[tex]\begin{gathered} \frac{9}{14}\text{ = }\frac{40}{NO} \\ \text{Cross multiply} \\ 9NO\text{ = 14 x 40} \\ 9NO\text{ = 560} \\ NO\text{ = }\frac{560}{9} \\ NO\text{ = 62.22} \\ NO\text{ = 62.2} \end{gathered}[/tex]Step 4: Final answer
NO = 62.2
