When designing the shape for a name badge, I often focus on the logo, searching for a protruding shape from the rectangle that will highlight the logo. A smooth bump up or to the side might fit the shape of the logo.
Another strategy is to create a shape that is associated with the business. For a regional waste management service, I created the shape of their truck for the name badge. The shape could also be a tool, machine, computer, or other recognizable symbol. You can use pre-designed or purchased graphics for shapes as well.
Consider taking advantage of your scrap materials to make name badges.