Question

Quadrilateral JKLM is similar to quadrilateral NOPR. Find the measure of side NO.Roundyour answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answer 1

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.

$\frac{LK}{JK}\text{ = }\frac{PO}{NO}$

Step 3: Method

$\begin{gathered} \frac{9}{14}\text{ = }\frac{40}{NO} \\ \text{Cross multiply} \\ 9NO\text{ = 14 x 40} \\ 9NO\text{ = 560} \\ NO\text{ = }\frac{560}{9} \\ NO\text{ = 62.22} \\ NO\text{ = 62.2} \end{gathered}$

Step 4: Final answer

NO = 62.2