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Na 2. The Slerpinski Triangle is a type of progression where an equilateral triangle has - of its area removed to create a new shape. Then - of its remaining arch is taken away. A series of these triangles is shown below, starting with an area of 64. the (n) If we remove ! of the area, what faction of () Mokiply 64 by the fraction you found in (a). the area remains? What value do you get? 3 /4 (c) Find the areas of the third and fourth pictures (d) Find a formula for the area, A, that remains above by multiplying by the fraction you found in (n) after a removals of area. An =48 ( )' or A= by() (c) How much area remains after 10 removals? (f) How much aren remains after 20 removals? Ajo = 48 ( 3 ) A10 3.60 A20 = 48 ()"Azo 2 0.20 (g) Will the area ever reach zero? Explain your thinking. No, it will continue to remove + for ever It will get close to zero, but never actually be zero. (h) If the Sierpinski triangle to the right had an original area of 15 square centimeters before any area was removed, what is the area of the figure shown to the right to the nearest tenth of a square centimeter? Show the calculation that leads to your