There is an equilateral triangle of side length
. From the side of the equilateral triangle, a square is drawn. From the side of the square, a regular pentagon is drawn. From the side of the regular pentagon, a regular hexagon is drawn. From the side of the regular hexagon, a regular heptagon is drawn. From the side of the regular heptagon, a regular octagon is drawn. Find the perimeter of the new composite figure formed.
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Relevant wiki: Perimeter