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The Carpets Theorem


	Drag the locators to divide the square into various combinations of triangles and quadrilaterals. The area of the red quadrilateral equals the sum of the areas of the other three colored polygons.


	Contributed by: Jay Warendorff After work by: Alexander Bogomolny

A. Bogomolny, "Carpets Theorem," Interactive Mathematics Miscellany and Puzzles, www.cut-the-knot.org/Curriculum/Geometry/CarpetsInSquare.shtml.

Quadrilateral (Wolfram MathWorld)

Triangle (Wolfram MathWorld)

"The Carpets Theorem" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheCarpetsTheorem/

Contributed by: Jay Warendorff

After work by: Alexander Bogomolny

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