Suppose square ABCD with side length 8 in. is cut out of paper. Another square, EFGH, is placed with its corners at the midpoints of ABCD. A third square is placed with its corners at midpoints of EFGH, and so on.
a. What is the perimeter of the tenth square?
b. What is the area of the tenth square?
c. If the pattern could be repeated forever, what would be the sum of the perimeters of the squares?
d. What would be the sum of the areas?

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