Question 3
Suppose a rectangle $ABCD$ has area 2016 cm². $E$ is a point on $CD$ and $F$ is a point on $AB$ such that $EF$ is parallel to $AD$. The distance from $X$ to $CD$ is twice the distance from $X$ to $AB$. The distance from $Y$ or $Z$ to $AB$ is twice the distance from $Y$ or $Z$ to $CD$. The distance from $Y$ to $EF$ is twice the distance from $Y$ to $BC$. The distance from $Z$ to $EF$ is twice the distance from $Z$ to $AD$. Find the area, in cm², of triangle $XYZ$.
