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In the figure above, ABCD is a square with an area of 64. If E is the midpoint of BC and F is the midpoint of DC, what is the area of the shaded region?

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In the figure above, <em>ABCD</em> is a square with an area of 64. If <em>E</em> is the midpoint of <em>BC</em> and <em>F</em> is the midpoint of <em>DC</em>, what is the area of the shaded region?






 
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