Question

these two polygons are similar. y = ?

Explanation:

Step1: Find the scale factor

Since the polygons are similar, the ratio of corresponding sides is equal. The ratio of the side of length \(3\) in the red polygon to the side of length \(6\) in the yellow polygon is \(\frac{3}{6}=\frac{1}{2}\).

Step2: Use the scale factor to find \(y\)

The side of length \(15\) in the yellow polygon corresponds to side \(y\) in the red polygon. Using the scale factor \(\frac{1}{2}\), we set up the proportion \(\frac{y}{15}=\frac{1}{2}\). Solving for \(y\), we get \(y = \frac{15}{2}= 7.5\).

Answer:

\(7.5\)