Perimeter of a composite figure

Geometry Level 2

There is an equilateral triangle of side length 8 8 . 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.

184 156 224 264

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1 solution

Relevant wiki: Perimeter

The new composite figure is composed of 23 23 sides of equal length of 8 8 , so the perimeter is 23 × 8 = 184 23\times 8= \boxed{184} .

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