What Fraction Is Shaded? Challenge From The UK!

This is a really fun geometry problem. It comes from the UKMT, a test which is part of forming the Olympiad team in the UK. Thanks to Liam for sending it to me! Can you figure it out?

Subscribe: https://www.youtube.com/user/MindYour...

Playlist to watch all videos on MindYourDecisions:    • Uploads from MindYourDecisions  

This is the only channel to feature math topics suggested by people around the world. Support the channel on Patreon so we can share the beauty of mathematics and make the world a better place:
  / mindyourdecisions  

If you buy from the links below I may receive a commission for sales. This has no effect on the price for you.

Show your support! Get a mug, a t-shirt, and more at Teespring, the official site for Mind Your Decisions merchandise:
https://teespring.com/stores/mind-you...

My Books
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4.0/5 stars on 36 reviews)
http://amzn.to/1uQvA20

"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 4.6/5 stars on 3 reviews)
http://amzn.to/1o3FaAg

"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 4.4/5 stars on 13 reviews.
http://amzn.to/1GhUUSH

"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 4.5/5 stars on 6 reviews)
http://amzn.to/1NKbyCs

"Math Puzzles Volume 3" is the third in the series. (rated 4/5 stars on 6 reviews)
http://amzn.to/1NKbGlp

"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.4/5 stars on 13 reviews)
http://amzn.to/1LOCI4U

"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.8/5 stars on 5 reviews)
http://amzn.to/18maAdo

"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 4.3/5 stars on 6 reviews)
http://amzn.to/XRm7M4

Connect with me
My Blog: https://mindyourdecisions.com/blog/
Twitter:   / preshtalwalkar  
Facebook:   / 168446714965  
Google+: https://plus.google.com/1083366085665...
Pinterest:   / preshtalwalkar  
Tumblr:   / preshtalwalkar  
Instagram:   / preshtalwalkar  
Patreon:   / mindyourdecisions  

Newsletter (sent only for big news, like a new book release): http://eepurl.com/KvS0r