How to solve for the area for quadrilaterals like these?

Question

How do I solve for the area of the yellow quadrilateral? This question has been bugging me and I haven't been able to figure out much given the areas of the triangles, 2 and 3 and the quadrilateral at the bottom, 20

Answer 1

I'll write an answer so that this question can be marked as 'answered'.

We know that: $$\Delta DNA = \Delta DCN + \Delta NAB = \Delta DCM = \Delta DAM + \Delta MCB = \frac{1}{2} (\text{area of ABCD}).$$

Now from $\Delta DCN + \Delta NAB = \Delta DCM$, we get: $\Delta DCP + 2 + 3 + \Delta RQM + 20$$ = \Delta DCP + DPQR + \Delta RQM$, and after cancelling like terms, we get directly: $25 = DPQR$.

Hence $\boxed{25}$ is the area of the shaded region in yellow.