The sides of a square are 8 cm long. A new square is formed by joining the
m lbtmrmv .y6a 5ji h+nd(*d7,midpoints of the adjacent sides and two of the resulting triangles are shaded as shown. This process is repeated 5 more times to form
.ja l56 d y md(bvh+ntimrm*7, the right hand 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$^2$