Question 66
$ABCD$ is a convex quadrilateral with area $P$. Let the point $A_1$ be on the ray $AB$ such that $\overline{AB} = \overline{BA_1}$, $B_1$ on the ray $BC$ such that $\overline{BC} = \overline{CB_1}$, $C_1$ on the ray $CD$ such that $\overline{CD} = \overline{DC_1}$ and $D_1$ on the ray $DA$ such that $\overline{DA} = \overline{AD_1}$. Find the area of $A_1B_1C_1D_1$.