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.

`(LK)/(JK)\text{ = }(PO)/(NO)`

Step 3: Method

`\begin{gathered} (9)/(14)\text{ = }(40)/(NO) \\ \text{Cross multiply} \\ 9NO\text{ = 14 x 40} \\ 9NO\text{ = 560} \\ NO\text{ = }(560)/(9) \\ NO\text{ = 62.22} \\ NO\text{ = 62.2} \end{gathered}`

Step 4: Final answer

NO = 62.2