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The diagram shows a rectangle \(A B C D\), where \(A\) is \(( 3,2 )\) and \(B\) is \(( 1,6 )\).
- Find the equation of \(B C\).
Given that the equation of \(A C\) is \(y = x - 1\), find
- the coordinates of \(C\),
- the perimeter of the rectangle \(A B C D\).