there is a equilateral triangle whose area is A.another triangle is formed by joining the mid points.this process is continued.find the sum of these areas.  Choose the correct choice from the following.
A) A/3  B) 2A/3  C) A  D) 4A/3  E) 5A/3
Area of equilateral triangle =(root(3)/4)*a^2=A(given)   side of triangle=a   now side is a/2   then total area A+A/4 +A/16-------   A/1-(1/4)=A*4/3 is total area   ANSWER:4A/3
<result>D</result>
there is a equilateral triangle whose area is A.another triangle is formed by joining the mid points.this process is continued.find the sum of these areas.