HARD Geometry Problem: Can You Solve The Horse Grazing Puzzle?

A horse is tied to an outside corner of a 20 foot by 10 foot rectangular barn. What is the maximum area the horse can graze outside, if the rope has length L? Solve for L = 5 and L = 25 (find exact answers). If you are up for a challenge, solve for L = 50 (answer to 3 decimal places). The video presents solutions to these cases.

My blog post for this video
http://wp.me/p6aMk-50P

Small corrections to video
-At 5:40 I meant to say "40 squared" instead of "40"
-At 10:34 I meant to say "quadrilateral" instead of "rectangle"
-At 12:44 I meant to say "large triangle" instead of "large rectangle"
-At 14:55 The area is an approximate numerical value, not an exact equals sign

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My Books

"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.9/5 stars on 26 reviews) https://www.amazon.com/gp/product/150...

"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews) https://www.amazon.com/gp/product/152...

"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 12 reviews. https://www.amazon.com/gp/product/151...

"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/151...

"Math Puzzles Volume 3" is the third in the series. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/151...

"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.8/5 stars on 9 reviews) https://www.amazon.com/gp/product/151...

"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 3 reviews) https://www.amazon.com/gp/product/150...

"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 2 reviews) https://www.amazon.com/gp/product/150...