Question

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

Explanation:

Step1: Find the scale factor

Since quadrilateral \(B\) is a scaled - copy of quadrilateral \(A\), we can find the scale factor using the corresponding sides \(1.75\) (from \(A\)) and \(2.1\) (from \(B\)).
The scale factor \(k=\frac{2.1}{1.75}\)

$$k = \frac{2.1}{1.75}=\frac{210}{175}=\frac{6}{5}=1.2$$

Step2: Calculate the value of \(c\)

We know that the side of length \(8.5\) in quadrilateral \(A\) corresponds to the side of length \(c\) in quadrilateral \(B\).
Using the formula \(c = 8.5\times k\)
Substitute \(k = 1.2\) into the formula: \(c=8.5\times1.2\)

$$c=(8 + 0.5)\times1.2=8\times1.2+0.5\times1.2=9.6 + 0.6=10.2$$

Answer:

\(10.2\)