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(10 pts) (similar to 10.3 #14] An infinite number of squares [in purple) are inscribed in a 1 X 1 box. Find the total area

(10 pts) (similar to 10.3 #14] An infinite number of squares [in purple) are inscribed in a 1 X 1 box. Find the total area of the purple squares. 2/27 2/9 + 2/9- 2/3 2/3

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