Area Search

Geometry Level pending

Point E E lies on segment A B AB , and point C C lies on segment F G FG . The area of parallelogram A B C D ABCD is 20 square units. What’s the area of parallelogram E F G D EFGD ?


The answer is 20.

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1 solution

Danish Ahmed
Sep 26, 2016

Draw E C EC .

Triangle C D E CDE is half of parallelogram A B C D ABCD because they have a common side and the third point is on the opposite side.

Triangle C D E CDE is also half of parallelogram E F G D EFGD because they have a common side and the third point is on the opposite side.

Therefore the parallelograms have the same area.

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