The sides of a square are 16 inches in length. A new square is formed by connecting

Question:

The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of the sides of the original square, and two of the triangles outside the second square are shaded (see figure). Determine the area of the shaded regions

(a) When this process is continued five more times

(b) When this pattern of shading is continued infinitely