Rectangle ABCD has width AB=5 and length BC=15. Point E lies on the line through A and B so that △EBC has the same area as recta
ngle ABCD. Segment CE¯¯¯¯¯¯¯¯ intersects AD¯¯¯¯¯¯¯¯ between A and D at G. The area of the trapezoid ABCG can be written in simplest form as ab where a and b have no common factors. What is a+b?