Puzzles

Can You Solve The River Fence Puzzle?

Excited for the August 21 eclipse? Visit our Eclipse 2017 page to explore the science, history, and myths of the event. The Curiosity team will be viewing the eclipse alongside NASA in Carbondale, Illinois. Follow us on Facebook for live videos, trivia, and interviews on the big day.

Can you solve the river fence puzzle? This math problem has very practical applications in the real world, and can be solved with both geometry and calculus. Imagine you have 100 units of fencing material. You must box off an area of land next to a river, with the river acting as one side of the box. How can you arrange the 100 units of fencing to box off the largest possible area of land next to the river? If you think you have the correct answer, how do you know it's correct?

Share the knowledge!

Key Facts In This Video

  1. The area of a rectangle is length times width. 01:04

  2. The perimeter of a rectangle is two times the length plus two times the width. 02:33

If you liked this you'll love our podcast! Check it out on iTunes, Stitcher, Google Play Music, SoundCloud, search 'curiosity' on your favorite podcast app or add the RSS Feed URL.

Advertisement