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Sample Question 23:
Points \(A,B,C\) and \(D\) lie on a line, in that order, with \(AB = CD\) and \(BC = 12\). Point \(E\) is not on the line, and \(BE = CE = 10\). The perimeter of \(\triangle AED\) is twice the perimeter of \(\triangle BEC\). Find \(AB\).
\(\text{(A)}\ 15/2 \qquad \text{(B)}\ 8 \qquad \text{(C)}\ 17/2 \qquad \text{(D)}\ 9 \qquad \text{(E)}\ 19/2\)