Question

quadrilateral huk is similar to quadrilateral lmno. find the measure of side ol. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since the two quadrilaterals are similar, the ratios of corresponding sides are equal. Let the length of $OL$ be $x$. The ratio of the corresponding vertical - sides gives us the proportion $\frac{OL}{KH}=\frac{MN}{JK}$. We know that $KH = 31$, $MN = 9$, and $JK = 49$. So the proportion is $\frac{x}{31}=\frac{9}{49}$.

Step2: Solve for $x$

Cross - multiply the proportion: $49x=31\times9$. Then $49x = 279$. Divide both sides by 49: $x=\frac{279}{49}\approx5.7$.

Answer:

$5.7$