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Area search (Posted on 2016-09-19) Difficulty: 3 of 5
Point E lies on segment AB, and point C lies on segment FG. The area of parallelogram ABCD is 20 square units. What’s the area of parallelogram EFGD?

Source: Alfred S. Posamentier, Math Wonders to Inspire Teachers and Students, 2003.

See The Solution Submitted by Ady TZIDON    
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Shear Solution Comment 2 of 2 |


Let H be the intersection of lines AB and FG.
Using two shear transformations we have
  Area(EFGD) = Area(EHCD) = Area(ABCD) = 20.
QED


  Posted by Bractals on 2016-09-19 13:25:12
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