If you can accept "hovering" over the shape, you could use the comment property.
In the shapesheet, miscellaneous section, comment cell, you could enter the desired fields, e.g., NAME()&CHAR(10)&"Wid= "&Width&CHAR(10)&"Ht ="&Height
Hovering the mouse over the shape will pop up a comment which, in this example, shows the shape name on the 1st line, width on 2nd, and height on 3rd. The comment only remains as long as the mouse is over the shape. Entering the desired fields must be done manually. Comment fcn is only good as a visual clue.
Wapperdude