Question 25
Points $A,$ $B,$ $C,$ $D,$ and $E$ are located in $3$-dimensional space with $AB=BC=CD$ $=DE=EA=2$ and $\angle ABC=\angle CDE$ $=\angle DEA=90^\circ.$ The plane of $\triangle ABC$ is parallel to $\overline{DE}.$ What is the area of $\triangle BDE?$