I discovered an AMAZING approximation of e (by accident)

I accidentally discovered an amazing approximation of e when I was teaching my summer calculus 1 class. If we cut a 10 meter rope into 2 pieces, one turns into an equilateral triangle, and the other turns into a square, what's the minimum combined area? This answer turns out to be really close to e! 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content   / blackpenredpen   #blackpenredpen #calculus