Consider a rectangle which has a diagonal of length 6. If $$P$$ is a point on side $$AB$$ such that $$\lvert\overline{AP}\rvert=\lvert\overline{AD}\rvert,$$ and $$Q$$ is a point on the extension of side $$AD$$ such that $$\lvert\overline{AQ}\rvert=\lvert\overline{AB}\rvert,$$ what is the area of the quadrilateral $$APCQ?$$