Question

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

Explanation:

Step1: Find the scale - factor

Since the two trapezoids are scaled copies, we can find the scale - factor by comparing corresponding sides. Let's compare the vertical sides. The scale - factor $k$ is the ratio of the vertical side of trapezoid $W$ to the vertical side of trapezoid $V$. So, $k=\frac{2}{8}=\frac{1}{4}$.

Step2: Calculate the value of $u$

We use the scale - factor to find $u$. We know that the corresponding side of $u$ in trapezoid $V$ is 32. So, $u = 32\times\frac{1}{4}$.
$u = 8$

Answer:

8