Extruding surface while keeping the shape here is the picture of what I would like to get(example nr. 2). I need the edge frame to be same in width and length. Also the extrusion is on surface (without depth) I tried extruding region, but it did not give me the result I wanted. 
 I know I could just adjust the scale and do it manually, but that would be eyeballing without achievign accuracy. I would like to know if it is possible to extrude or inset while keeping the shape (even edge space)
Inset the face

Go into edit mode. Select the face. right-click
Press I to inset the face.

OR

Press W to open the Specials menu.
From the Specials menu, choose Inset Faces. I

OR

PressCtrl+F to open the Faces menu.
From the Faces menu, choose Inset Faces. I

OR

Choose Mesh &gt; Faces &gt; Inset Faces from the edit mode menu.