In right triangle EAD with right angle at A, AE = 4 units, AB = BC = CD and the area of triangle ABE = 6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.
if the area of ABE = 6, AB is 6 * 2 = AB * 4
AB = 3
Because AB = BC, AC = 6
Using the pythagorean theorem, 4^2 + 6^2 = x^2
x = √52