6
1) Plotting the figure
We have:
We have a quadrilateral
2)
So we have a rectangle FC = 1 and DC =2 So its area is 2 square unts
On the left side, we have a triangle whose height is BF 4 and its base is 2
So the area of the triangle is b*h/2 =4*2/2 = 4
So the total area is 6