Question

polygon v is a scaled copy of polygon u. what is the value of w?

Explanation:

Step1: Find the scale - factor

The corresponding side lengths of similar polygons are in proportion. Consider the horizontal sides, the scale - factor $k$ is found by dividing the length of the corresponding side in polygon $V$ by the length of the corresponding side in polygon $U$. So, $k=\frac{3.9}{3}=1.3$.

Step2: Calculate the value of $w$

Since the polygons are similar, the ratio of the vertical sides is the same as the scale - factor. We know that $\frac{w}{5}=1.3$. Then $w = 5\times1.3$.
$w=6.5$

Answer:

$6.5$