Question

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

Explanation:

Step1: Find the scale - factor

The scale - factor $k$ is the ratio of corresponding side lengths. We can find it by dividing the length of a side in quadrilateral $W$ by the length of the corresponding side in quadrilateral $V$. Using the given sides, $k=\frac{5\frac{1}{2}}{5}=\frac{\frac{11}{2}}{5}=\frac{11}{10} = 1.1$.

Step2: Calculate the value of $u$

Since $u$ corresponds to $2\frac{1}{2}=\frac{5}{2}$, we multiply $\frac{5}{2}$ by the scale - factor $k$. So $u=\frac{5}{2}\times1.1=\frac{5}{2}\times\frac{11}{10}=\frac{55}{20}=\frac{11}{4} = 2.75$.

Answer:

$2.75$