2007 AMC 12B Problem 25

Points A,B,C,D and E are located in 3-dimensional space with AB=BC=CD=DE=EA=2 and \angle ABC=\angle CDE=\angle DEA=90^o. The plane of \triangle ABC is parallel to \overline{DE}. What is the area of \triangle BDE?

\mathrm {(A)} \sqrt{2}\qquad \mathrm {(B)} \sqrt{3}\qquad \mathrm {(C)} 2\qquad \mathrm {(D)} \sqrt{5}\qquad \mathrm {(E)} \sqrt{6}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.