x-3 8 16
2.5 2 4
The Polygons are similar, but not necessarily drawn to scale. Find the value of x.
In similar polygons, corresponding sides are proportional. Therefore, we can set up the proportion:
$\frac{2.5}{x-3} = \frac{2}{8} = \frac{4}{16}$
Cross-multiplying gives $2.5 \cdot 8 = 2 \cdot (x-3)$ or $20 = 2 \cdot (x-3)$. Simplifying gives $20 = 2x - 6$, so $2x = 26$ and $x = \boxed{13}$.