Question

quadrilateral q is a scaled copy of quadrilateral p. what is the value of r? quadrilateral p: 5, 2.5, 2; quadrilateral q: r, 3.25, 2.6

Explanation:

Step1: Find the scale - factor

Since the two quadrilaterals are scaled copies, we can find the scale - factor by comparing corresponding sides. Let's use the bottom - left sides. The scale - factor $k$ is given by the ratio of the side length of $Q$ to the side length of $P$. So, $k=\frac{3.25}{2.5}$.
$k = \frac{3.25}{2.5}=\frac{325}{250}=\frac{13}{10} = 1.3$

Step2: Calculate the value of $r$

We know that $r$ corresponds to the side of length 5 in quadrilateral $P$. Using the scale - factor, we can find $r$ by multiplying the length of the corresponding side in $P$ by the scale - factor. So, $r=5\times k$.
$r = 5\times1.3=6.5$

Answer:

$6.5$