So this is a shape that can be subdivide into triangles and squares.
So let us first consider the triangle with dimensions 2 and 6. As it is clear that it forms a right angled triangle, the area is,
Then there is a square of each side 2. So the area is, 4; since(2*2).
Then there is another triangle of dimneions 2 each . Thus the area is,
And again there forms a traingle with base 4 and height 10; (2+2+6 from the dotted lines.). Its area is,
So the total area is, 6+4+2+20=32.