Question 55
The points $P$ and $Q$ lie on the side $\overline{AB}$ of the rectangle $ABCD$ such that $|AP| = |PQ| = |QB|$. The line $DQ$ meets the lines $AC$ and $CP$ at points $K$ and $L$ respectively, and the line $DB$ meets the lines $AC$ and $CP$ at points $N$ and $M$ respectively.
Determine the ratio of the areas of quadrilaterals $KLMN$ and $ABCD$.
Determine the ratio of the areas of quadrilaterals $KLMN$ and $ABCD$.