The mid points of the sides of a square of side 1 are joined to form a new square. This procedure is repeated indefinitely. Find the sum of (i) the areas of all the squares (ii) the perimeters of all the square.

The mid points of the sides of a square of side 1 are joined to form

1.	The mid points of the sides of a square of side 1 are joined to form a new square. This procedure is repeated indefinitely. Find the sum of (i) the areas of all the squares (ii) the perimeters of all the square.
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The mid points of the sides of a square of side 1 are joined to form a new square. This procedure is repeated indefinitely. Find the sum of (i) the areas of all the squares (ii) the perimeters of all the square.

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