Um, I don't have a picture, so I'm just going to solve assuming there that the garden is a perfect circle with a perfect circle path going around it.
So the garden is obviously pi(4)^2 = 157.9136704174297379
However, according to my assumptions, the garden path is going around the garden which just forms a bigger circle. So you can just think that there is one big circle with a radius of 6.
pi(6)^2 = 355.3057584392169103
355.3 feet^2 is what I believe is the answer.
If you can, upload the picture or give us a link so we can confirm.