the sides of regular hexagon of length 2cm are extended the alternate sides meet in 6 new points.the area of star shaped region so obtained is
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The extended alternate side forms a triangle with the included side of the hexagon.
It's a equilateral triangle with side 2 cm.
So we have such 6 equilateral triangles in the star.
The area of the star shaped region = Area of hexagon + area of 6 equilateral triangles
= 2× 6× area of one equilateral triangle
=12×(2)²×√3=12√3 cm
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