To determine the area of the enlarged picture that Sissy wants to hang on the wall in her daughter's room, let's examine the available options: 24 square inches, 108 square inches, 224 square inches, and 486 square inches.
Given that Sissy aims to enlarge the picture to make it suitable for hanging on a wall, we would reasonably choose the largest available area to ensure the picture is prominent and fits well on the wall.
Hence, the most appropriate choice for the area of the enlarged picture is:
486 square inches.
This area ensures that the picture is sufficiently large and visually appropriate for displaying on a wall.