Routing is now a global concept. ASP.NET (MVC and Web API) assumes that you will use a global or controller level convention to define your routes.

Having said that, nothing stops you to define this route in your API:

config.Routes.MapHttpRoute(
			   name: "mySpecialRoute",
			   routeTemplate: "api/placement/{id}",
			   defaults: new
			   {
				   id = RouteParameter.Optional, controller = "placement"

			   });

And your controller having an action

public IEnumerable<MyType> Get(int id, [FromUri]int take, [FromUri]int skip)
{
    ...
}