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Misshapen Butter Pats (Posted on 2005-08-16) Difficulty: 3 of 5
While buttering my bread at lunch one day I mused that one can not only cut a square pat of butter in half with only a knife, but also if the pat is in the shape of a regular n-gon, n>3. But what if the pat is shaped like an irregular quadrilateral?

Can you bisect the area of an arbitrary quadrilateral with one straight line using only a straightedge and a compass?

See The Solution Submitted by McWorter    
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re(2): Solution -- You're right; I'm wrong | Comment 5 of 9 |
(In reply to re: Solution by McWorter)

Ok, Your equation is correct and mine is wrong.  Only need now a straightedge-compass construction of the square root of a given number(length).  I must admit, I don't yet know how to do this.
  Posted by McWorter on 2005-08-16 22:56:59

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