Question 8
As shown in the diagram below, $ABCD$ is a convex quadrilateral where points $M,N,P,Q$ lie on sides $AB,BC,CD,AD$, respectively, such that
$$\frac{AM}{MB}=\frac35,\qquad\frac{BN}{NC}=\frac13,\qquad\frac{CP}{PD}=\frac45,\qquad\frac{DQ}{QA}=\frac18.$$
If the area of $ABCD$ is $45$ cm², what is the area, in cm², of hexagon $MBNPDQ$?
$$\frac{AM}{MB}=\frac35,\qquad\frac{BN}{NC}=\frac13,\qquad\frac{CP}{PD}=\frac45,\qquad\frac{DQ}{QA}=\frac18.$$
If the area of $ABCD$ is $45$ cm², what is the area, in cm², of hexagon $MBNPDQ$?