OPM 1995 Problem 4

The diameter $[AC]$ of a circle is divided into four equal segments by points $P, M$ and $Q$ . Consider a segment $[BD]$ that passes through $P$ and cuts the circle at $B$ and $D$ , such that $PD =\frac{3}{2} AP$ . Knowing that the area of the triangle $[ABP]$ has measure $1$ cm $^2$ , calculate the area of $[ABCD]$ ?