4. (18 marks) (a) Stage ( and stage 2 of the construction of a fractal are shown below. Draw stage 1 and stage 3 in your answer book. Stage 0 Stage 2 In(a) (b) Calculate the dimension of the fractal in part (a). You may leave it in the form In(b) (c) What area would you expect the completed fractal described in part (a) to have? Care- fully explain your answer. (d) Phoebe wants to create a fractal by creating a pattern on a square. She wants to divide the square into a grid of smaller squares and fill in a number of them to create a rule In(10) to use on each stage of the fractal. She wants to make a fractal of dimension Is In(2) this possible? If so, draw a pattern Phoebe can use. If not, explain why not. 4. (18 marks) (a) Stage ( and stage 2 of the construction of a fractal are shown below. Draw stage 1 and stage 3 in your answer book. Stage 0 Stage 2 In(a) (b) Calculate the dimension of the fractal in part (a). You may leave it in the form In(b) (c) What area would you expect the completed fractal described in part (a) to have? Care- fully explain your answer. (d) Phoebe wants to create a fractal by creating a pattern on a square. She wants to divide the square into a grid of smaller squares and fill in a number of them to create a rule In(10) to use on each stage of the fractal. She wants to make a fractal of dimension Is In(2) this possible? If so, draw a pattern Phoebe can use. If not, explain why not