A triangle is drawn of side length $a$. Then a square is drawn inside the triangle such that the area of the square is maximum and the bottom side is shared. Then a regular pentagon is drawn inside the square in a similar way... and it goes on till infinity. Refer diagram... Find Test's area. $$$$ Test's area: Test shades the region with the maximum finite area and then continues the process such that no two shaded regions share the same boundary
The top point of the pentagon should be a bit lower in the diagram and isn't touching the square