Question

question
quadrilateral mnop is similar to quadrilateral qrst. find the measure of side qr. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since the two quadrilaterals are similar, the ratios of corresponding sides are equal. Let's assume that side $PO$ corresponds to side $TS$ and side $MN$ corresponds to side $QR$. The proportion is $\frac{PO}{TS}=\frac{MN}{QR}$.

Step2: Substitute the known values

We know that $PO = 12$, $TS=35$, and $MN = 19.6$. Substituting into the proportion gives $\frac{12}{35}=\frac{19.6}{QR}$.

Step3: Cross - multiply

Cross - multiplying gives $12\times QR=35\times19.6$.

Step4: Solve for $QR$

First, calculate $35\times19.6 = 686$. Then, $QR=\frac{686}{12}\approx57.2$.

Answer:

$57.2$