A square is drawn by joining mid-points ...

A square is drawn by joining mid-points of the sides of a square. Another square is drawn inside the second square in the same way and the process is continued indefinitely. If the side of the first square is 16 cm, then what is the sum of the areas of all the squares ?
(a)256sq. Cm
(b)512 sq. cm
(c)1024sq. Cm
(d)512/3sq. Cm

256sq. Cm

512 sq. cm

1024sq. Cm

512/3sq. Cm

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