Before revision:  We show that Eppstein's algorithm for maximizing sum of perimeter of the disks in {   }^2 gives a 2-approximation solution for the sum of area maximization problem.
After revision:  We show that Eppstein's algorithm for maximizing sum of perimeter of the disks in {  \mathbb{R }^2 gives a 2-approximation solution for the sum of area maximization problem.