Question

these two polygons are similar. w = ?

Explanation:

Step1: Determine the scale - factor

For similar polygons, the ratios of corresponding sides are equal. We can find the scale - factor by comparing two known corresponding sides. Let's use the sides of length 2 and 6. The scale - factor $k=\frac{6}{2} = 3$.

Step2: Find the value of $w$

Side of length 3 in the small polygon corresponds to side of length $w$ in the large polygon. Using the scale - factor, we have $w=3\times3$.

Answer:

9