+130071 angle AEB = angle DEC
angle B = angle C
Therefore, by AA congruency, triangle AEB similar to triangle DEC
Since EC = 4 and BE = 5...the scale factor of triangle DEC is 4/5 that of triangle AEB
So.... [ CED ] = [scale factor of DEC to AEB ]^2 * area of AEB
[CED ] = [ 4/5]^2 * 50 = [16/25] * 50 = 32 units^2
