Gimp: Cut And Paste Rectangle on New Layer

I have an image open. I then made a rectangle. I then cut out the rectangle. I then created a New Layer called loveLanguage. I am now trying to paste the contents of the cut-rectangle it onto this New Layer I created but gimp isn't doing what I'm expecting it to do. I am learning here. How Do I paste the contents of the rectangle so I can save the contents of the rectangle as it's own image.