Question: *The pentagon ( ABCDE ) has a right angle at ( A ), with ( AB = AE = 2 ) and ( BC =

*The pentagon ( ABCDE ) has a right angle at ( A ), with ( AB = AE = 2 ) and ( BC = CD = DE = 2 ). If ( BE = 2\sqrt{2} ) and ( BE \parallel CD ), find the area of the pentagon

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