Determinant and Triangle

Algebra Level 3

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

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