Toedsquare Area

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Square \( TOED \) with side length \( 12 \) is inscribed in a circle. Let \( X \) be a point on minor arc \( OE \) such that \( TX=\frac{121}{144} DX \). Denote by \( S \) the intersection of \( TX \) and \( OD \) and by \( A \) the intersection of \( TE \) and \( DX \). Find the area of quadrilateral \( TSAD \)

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