[填空题]
The sides of a square are 8 cm long. A new squareg-zd+/zihkwt):m9i * 1z 5uiow-pjfs is formn5 5ym1/ t 5gtonjp-shed by joining the midpoints of the adjacent sides and two of the resulting triangles are shaded as shown. This process is repeated 5 more times to form the right ha5n 5/gjomp y1tshnt5- nd diagram below.
1.Find the total area of the shaded region in the right hand diagram above.
the total area of the shaded region S≈ cm$^2$
2.Find the total area of the shaded region if the process is repeated indefinitely.
Using the sum of an infinite geometric sequence formula $S_∞$= cm$^2$