Question

Solve for x, given that the polygons are similar

Answer 1

In the question, we are given two polygons, and we are told that they are similar. Well, first, we can set up a proportion using the given sides and the side that we need to find. A suitable proportion would be $\frac{2x-14}{60} = \frac{8}{24}$. Now, in order to solve for $x$ we cross multiply. This gives us $48x-336=480$. Next, we add $336$ to both sides. This gives us $48x=816$, and when we divide both sides by $48$, we get that $\boxed{x=17}$. Hope this helped!