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Two parallelograms (Posted on 2017-08-01) Difficulty: 2 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.)

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Simple solution Comment 3 of 3 |
The parallelogram can be skewed without changing its area.  Slide FG along the line containing it so that G coincides with C.  EFGD now has the same base and height with ABCD.  So the areas are the same: 20.
  Posted by Jer on 2017-08-01 10:55:04
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