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Triangle △ABC\triangle ABC△ABC has vertices A=(a,b),A=(a,b),A=(a,b), B=(c,d)B=(c, d)B=(c,d) and C=(0,0).C=(0,0).C=(0,0). If det[abcd]=4,\det\left[\begin{array}{cc}a& b\\c& d \end{array}\right]=4,det[acbd]=4, what is the area of △ABC\triangle ABC△ABC?
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