AMC 12 2007b 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 $\triangle BDE$?

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