2.2. Given a convex pentagon $A B C D E$, such that

$$
A B=A E=D C=B C+D E=1 \text { and } \angle A B C=D E A=90^{\circ} .
$$

What is the area of this pentagon?
2.2. Let's construct triangle $\triangle P S F$ with height $P H$ such that $\triangle P H S=\triangle A B C$ and $\triangle P H F=\triangle A E D$ (simply "combine" triangles $\triangle A B C$ and $\triangle A E D$ together). Then $\triangle P S F=\triangle A C D$ (by three sides). Therefore, $S(\triangle A C D)=S(\triangle A B C)+$ $S(\triangle A E D)$, and $S(A B C D E)=2 \cdot(S(\triangle A B C)+S(\triangle A E D))=1$.