> 
> It is given that $ZV||XY,WZ=ZX,ZV=2a~~\text{and}~~ZX=2b.$
>  Find the area of the shaded region.
> 
> 
> 

$a.)\dfrac{4ab}{2}\\
b.)\dfrac{8ab}{3}\\
\color{green}{c.)6ab}\\
d.)3ab\\$

![enter image description here](https://i.stack.imgur.com/H3edV.png)
$\quad$ 
I found that $XY=4a,\triangle WZY\sim \triangle WXY$ and $\dfrac{Area(\triangle WZV)}{Area(\triangle WXY)}=\dfrac14$

![enter image description here](https://i.stack.imgur.com/YMNBA.png)

I am clueless. I look for a simple short way.
I have studied maths up to $12th$ grade.