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Permutations And Combinations
A square is drawn by joining the midpoints of the sides of a given square. A third square is drawn inside the second square in the same way, and the process continues indefinitely. If a side of the first square is 16 cm., determine the sum of the areas of all the squares.
Let ABCD be the given square of side 16cm as shown in the figure. Let EFGH be the second square drawn by joining the midpoints of the sides of given square ABCD.
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