What Is The Area? HARD Geometry Problem

People around the world have asked me this and similar problems. Learn how to solve using only geometry (and a little bit of algebra).
There are many other ways to solve the problem too
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My Books (worldwide links)
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My Books (US links)
Mind Your Decisions: Five Book Compilation
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A collection of 5 books:
"The Joy of Game Theory" rated 4.1/5 stars on 44 reviews
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"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 3.5/5 stars on 4 reviews
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"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.4/5 stars on 13 reviews
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"The Best Mental Math Tricks" rated 4.7/5 stars on 8 reviews
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"Multiply Numbers By Drawing Lines" rated 4.3/5 stars on 6 reviews
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Mind Your Puzzles: Collection Of Volumes 1 To 3
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A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 13 reviews
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"Math Puzzles Volume 2" rated 4.5/5 stars on 6 reviews
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"Math Puzzles Volume 3" rated 4.1/5 stars on 7 reviews
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2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.