The sides of a square are 8 cm long. A new square is formed by join
ejcm.r)b9r log55 ) 7wun9kvming the midpoints of the adjacent sides and two of the resulting triangles are shaded as
bkerv7r 9 )).gwm 5lcnumjo9 5shown. This process is repeated 5 more times to form 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$^2$