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Calculate the colored area with the given dimensions.

Contributed by: Abraham Gadalla (January 2012)
Open content licensed under CC BY-NC-SA


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Details

The shaded area consists of three pieces:

The first piece is the colored area between two equilateral triangles, with thickness ; the length of the side of the outer triangle is .

The second piece is a parallelogram with width equal to and height equal to .

The third piece is a rectangle with width equal to and height equal to . It has the same area as the parallelogram.



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