Suppose square ABCD with side length 8 in. is cut from paper. Another square, EFGH, is placed with its corners at the midpoints of ABCD, as shown. A third square is placed with its corners at midpoints of EFGH, and so on.
a. What is the perimeter of the ninth square?
b. What is the area of the ninth square?
c. What happens to the ratio of perimeter to area as the squares get smaller?

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