3. On the extensions of sides $\boldsymbol{A B}, \boldsymbol{B C}, \boldsymbol{C D}$ and $\boldsymbol{A}$ of the convex quadrilateral $\boldsymbol{A} \boldsymbol{B C D}$, points $\boldsymbol{B}_{1}, \boldsymbol{C}_{1}, \boldsymbol{D}_{1}$ and $\boldsymbol{A}_{1}$ are taken such that $\boldsymbol{B} \boldsymbol{B}_{1}=\boldsymbol{A B}, \boldsymbol{C} \boldsymbol{C}_{1}=\boldsymbol{B C}, \boldsymbol{D} \boldsymbol{D}_{1}=\boldsymbol{C D}$ and $\boldsymbol{A} \boldsymbol{A}_{1}=\boldsymbol{D} \boldsymbol{A}$. How many times larger is the area of quadrilateral $\boldsymbol{A}_{1} \boldsymbol{B}_{1} \boldsymbol{C}_{1} \boldsymbol{D}_{1}$ compared to the area of quadrilateral $A B C D .(10$ points)