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A student has a 2 cm by 2 cm square piece of paper. The student draws a diagonal of this square and shades the region

A student has a 2 cm by 2 cm square piece of paper. The student draws a diagonal of this square and shades the region of the square above this diagonal. In the unshaded region, the student then draws a second square by using the midpoint of the diagonal as one corner. This process produces iteration 1 shown below. The process is then continued with the smaller square, as shown in iteration 2.The total area of the unshaded regions shown in the diagram for iteration 2, correct to the nearest tenth, is ______ . Note: Area of a Triangle = Base x Height

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