<p>A regular pentagon with area <img alt="$\sqrt{5}+1$" height="21" src="https://latex.artofproblemsolving.com/5/d/0/5d0af8e4359bd345b25d8a56f0b8e03469c3ea3b.png" width="57" /> is printed on paper and cut out. The five vertices of the pentagon are folded into the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon?</p>

Question No: 369

A regular pentagon with area $\sqrt{5}+1$ is printed on paper and cut out. The five vertices of the pentagon are folded into the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon?

Editorial

Tags: Geometry

Question Details