The sides of a square are 16 inches in length. A new square is formed by connecting the

Chapter 9, Problem 105

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The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of the sides of the original square, and two of the resulting triangles are shaded (see figure). After this process is repeated five more times, determine the total area of the shaded region.

                                           

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