Question

quadrilateral b is a scaled copy of quadrilateral a. what is the value of c?

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 pair of sides with lengths 1.75 and 2.1. The scale - factor $k$ is given by $k=\frac{2.1}{1.75}$.
$k = \frac{2.1}{1.75}=\frac{210}{175}=\frac{6}{5} = 1.2$

Step2: Calculate the value of $c$

We know that the side of length 8.5 in quadrilateral A corresponds to side $c$ in quadrilateral B. Using the scale - factor, we have $c=8.5\times k$.
$c = 8.5\times1.2=10.2$

Answer:

$10.2$