The area of the gray rectangle is
. Find the area of the regular hexagon in square meters.
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Using this figure:
We know that for a regular hexagon side length a , the area is equals to 6 times the equilateral triangle Δ of same side length: S h e x = 6 S Δ . The area of the rectangle, as the figure shown, is S r e c = 4 S Δ . So S h e x = 2 3 S r e c = 6 0 m 2