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Splitting a Parallelogram

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Author: Annie Fetter
Description: Geometry, difficulty level 3. Draw parallelogram ABCD with AB = 10. Draw EF with E between A and B and F between C and D such that EF divides the area of ABCD in half. If EF = 4, what is FD?
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Problem page: http://mathforum.org/geopow/solutions/19980213.geopow.html
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