In the above diagram, quadrilateral $ABCD$是一个trapezoid with $\overline{AD} \parallel \overline{BC}.$If $\lvert{\overline{AO}}\rvert:\lvert{\overline{OC}}\rvert=1:3, \lvert{\triangle OBC}\rvert=54,$what is the area of quadrilateral $ABCD ?$

Note $1$:The above diagram is not drawn to scale, and $\lvert{\triangle ABC}\rvert$denotes the area of $\triangle ABC.$
Note $2$:In the US a quadrilateral with one pair of parallel lines is called a "trapezoid." Elsewhere, a quadrilateral with one pair of parallel lines is called a "trapezium."