Am I finding the area of this wierd shape correctly if not what am I doing wrong?

Answer:
8 [tex]ft^2[/tex]
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 [tex]ft^2[/tex]
Using the equation for the area of a triangle
[tex]A=\frac{1}{2} bh[/tex]
We can plug in our 2 know values to get
[tex]A=\frac{1}{2} (4)(2)\\A=4[/tex]
Now we can take the sum of the areas of these two shapes to get a total area of 8 [tex]ft^2[/tex]