I think this is what you need:
var tla :ViewNavigatorApplication = FlexGlobals.topLevelApplication as ViewNavigatorApplication;
var width :Number = tla.width;
var height :Number = tla.height=tla.actionBar.height;
var x :Number = 0;
var y :Number = tla.actionBar.height;
Then size your component using the width and height and position it using the x and y values. I wrote this in the browser, so expect typos in code. There may be some padding issues that make the sizes / positioning slightly off but you'll have to try it and see what you get.