AMC 10A 2002 Problem 23

Points A, B, C, and D lie on a line, in that order, with A B=C D and B C=12. Point E is not on the line, and B E=C E=10. The perimeter of \triangle A E D is twice the perimeter of \triangle B E C. Find A B.

Answer Choices
A. 15 / 2
B. 8
C. 17 / 2
D. 9
E. 19 / 2

Image