Answer:
8 
Step-by-step explanation:
Sadly, you are doing this incorrectly.
The easiest way to find the area of this shape is to separate it into a square and a triangle.
This will leave you with a square with the dimentions 2x2 a triangle with a base of 4 and a height of 2.
The area of the square is 4 
Using the equation for the area of a triangle

We can plug in our 2 know values to get

Now we can take the sum of the areas of these two shapes to get a total area of 8 