My apologies I went back and tried what you said and it worked this
is what I did
import javax.swing.*;
import java.awt.*;
import java.awt.event.*;


public class  Mywindow {

public static  void main(String[] args) {

CenteredFrame frame  = new CenteredFrame();
JTextArea text  = new JTextArea("This is a test",5,30);
text.setLineWrap(true);
text.setWrapStyleWord(true);
GPanelWithText GPanel = new GPanelWithText(text);
frame.getContentPane().add(GPanel);
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.pack();
frame.setVisible(true);


}
}
class CenteredFrame extends JFrame
{
public CenteredFrame()
{
//get screen  dimensions


Toolkit kit  = Toolkit.getDefaultToolkit();
Dimension screenSize = kit.getScreenSize();
int screenHeight = screenSize.height;
int screenWidth = screenSize.width;

// center  frame in screen


setSize(screenWidth / 2, screenHeight / 2);
setLocation(screenWidth / 4, screenHeight / 4);

// set  frame icon  and title


Image img  = kit.getImage("icon.gif");
setIconImage(img);
setTitle("CenteredFrame");
}
}

class GPanelWithText extends JScrollPane {

public GPanelWithText (JTextArea t) {

this.setViewportView(t);
this.setVerticalScrollBarPolicy
(JScrollPane.VERTICAL_SCROLLBAR_ALWAYS);
this.setPreferredSize(new Dimension(250,250));
this.setBorder(
BorderFactory.createCompoundBorder(
BorderFactory.createCompoundBorder(
BorderFactory.createTitledBorder("My
Panel"),
BorderFactory.createEmptyBorder
(5,5,5,5)),
this.getBorder()));

} //end constructor

} //ends GPanelWithText