From the figure, it can be seen that the carpet consists of threes portions that is the outdoor carpet with the dimension 4ft×12ft, another portion with dimension 3ft×2ft and the other portion with dimension 1ft×2ft.
Therefore, Outdoor carpet required=(area carpet with the dimension 4ft×12ft)-( area carpet with dimension 3ft×2ft)-(area carpet with dimension 1ft×2ft)
=(4×12)-(3×2)-(1×2)
=48-6-2
=40square feet
Thus, 40 square feet of outdoor carpet will be needed for this hole.