In an infinite sequence of regular hexagons, each hexagon except the first is formed by connecting the midpoints of the sides of the previous hexagon. If the perimeter of the first hexagon is 12 and the sum of the perimeters of all the hexagons is a , then find (a + b).

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12 c m

The Side of a regular hexagon (see the given figure) is denoted by l. Express the perimeter of the hexagon using l.

(Hint: A regular hexagon has all its six sides equal in length.)

Question 2

The side of a regular hexagon is denoted by $l$ . Express the perimeter of the hexagon using $l$ .

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In an infinite sequence of regular hexagons, each hexagon except the first is formed by connecting the midpoints of the sides of the previous hexagon. If the perimeter of the first hexagon is 12 and the sum of the perimeters of all the hexagons is a ￼, then find (a + b).