Question

polygon r is a scaled copy of polygon q.
polygon q has a side of length 16, a side of length 14, and a side of length 6. polygon r has a side of length x, a side of length 7, and a side of length 3.
what is the value of x?

Explanation:

Step1: Determine the scale factor

Since polygon \(R\) is a scaled copy of polygon \(Q\), we can find the scale factor using the corresponding sides \(6\) and \(3\). The scale factor \(k=\frac{3}{6}=\frac{1}{2}\)

Step2: Calculate the value of \(x\)

We know that the side of length \(16\) in polygon \(Q\) corresponds to the side of length \(x\) in polygon \(R\). Using the scale factor, we have \(x = 16\times\frac{1}{2}\)

Answer:

\(8\)