________ In $\triangle{ABC}$, $D$ is the midpoint of $BC$. $E$ is on $AC$ so that $AE=2\ EC$. The area of $\triangle{ABC}$ is $60\ cm^2$. Find the area of $\triangle{ABF}$ in $cm^2$.
________ The area of rectangle $ABCD$ is $36$. $E$ is on $AD$ so that $AE=3DE$. Find the area of the shaded region.
________ In rectangle $ABCD$, $AB=8$, $AD=15$. The total area of the shaded regions is $70$. Find the area of quadrilateral $EFGO$.
________ The area of square $ABCD$ is $120\ cm^2$. $E$ is the midpoint of $AB$, $F$ is the midpoint of $BC$. Find the area of quadrilateral $BGHF$ in $cm^2$.
________ In $\triangle{ABC}$, $D$ is the midpoint of $AC$. $E$ and $F$ are on $BC$ so that $BE=EF=FC$. The area of $\triangle{ABC}$ is $30$. Find the area of quadrilateral $MNEF$.
________ The area of rectangle $ABCD$ is $36\ cm^2$. The area of quadrilateral $PMON$ is $3\ cm^2$. Find the total area of shaded regions in $cm^2$.
________ In parallelogram $ABCD$, $BC:CE=3:2$, $AD=15$. The area of $\triangle{ODE}$ is $6\ cm^2$. Find the area of the shaded region in $cm^2$.
________ In trapezoid $ABCD$, $ABED$ is a parallelogram. The areas of three triangles are given. Find the area of the shaded region.
________ In square $ABCD$, $AB=6$. $AE=\dfrac{1}{3}AC$, $CF=\dfrac{1}{3}BC$. Find the area the shaded region.
________ Square $PQRS$ has 3 vertices on the 3 sides of $\triangle{ABC}$. $BQ=CQ$. Find the area of sqaure $PQRS$.
