Question 86
On a triangle $ABC$, a point $D$ is picked on the side $AB$ and a point $E$ is picked on the side $AC$ in such a way that the line $DE$ is parallel to the line $BC$. Let $M$ and $N$ be the mid-points of the line segments $BD$ and $CE$, respectively. Determine the area of the triangle $ADE$ if the areas of the quadrilaterals $DMNE$ and $MBCN$ are $1$ and $2$, respectively.
