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 $\boldsymbol{B} \boldsymbol{B}_{1}=\boldsymbol{A B}, \boldsymbol{C} \boldsymbol{C}_{1}=\boldsymbol{B C}, \boldsymbol{D D}_{1}=\boldsymbol{C D}$ and $\boldsymbol{B} \boldsymbol{B}_{1}=\boldsymbol{A B}$ and $\boldsymbol{A} \boldsymbol{A}_{1}=\boldsymbol{A}$. How many times smaller is the area of quadrilateral $\boldsymbol{A} \boldsymbol{B} \boldsymbol{C D}$ compared to the area of quadrilateral $\boldsymbol{A}_{1} \boldsymbol{B}_{1} C_{1} \boldsymbol{D}_{1}$. (10 points)