GridBagLayout & JScrollPane: how to reduce row height?

Below is a simple test code using GridBagLayout (2 lines, 2 components in line 0, 1 component in line 1). Although I indicated it was weighty0.01 for the first line and 1 for the second line, the ratio on the screen is more like 0.3 versus 0.7. It seems that the height of the first line changes so that the entire text area fits into it.

How to reduce the height of the first line so that JScrollPane scrollbars appear?

public class Test {

    public static void main(String... args) {
        String text = "text\n\n\n\n\n\n\n\ntext";
        JFrame frame = new JFrame();
        JTextArea area;
        JScrollPane pane;

        JPanel desktop = new JPanel(new GridBagLayout());
        GridBagConstraints c = new GridBagConstraints();
        c.fill = GridBagConstraints.HORIZONTAL;

        c.gridx = 0;
        c.gridy = 0;
        c.weightx = 0.25;
        c.weighty = 0.05;
        area = new JTextArea(text);
        area.setBackground(Color.RED);
        pane = new JScrollPane(area);
        desktop.add(pane, c);

        c.gridx = 1;
        c.gridy = 0;
        c.weightx = 0.75;
        c.weighty = 0.05;
        area = new JTextArea(text);
        area.setBackground(Color.BLUE);
        pane = new JScrollPane(area);
        desktop.add(pane, c);

        c.fill = GridBagConstraints.BOTH;
        c.gridx = 0;
        c.gridy = 1;
        c.weightx = 0;
        c.weighty = 1;
        c.gridwidth = 2;
        area = new JTextArea(text);
        area.setBackground(Color.GREEN);
        pane = new JScrollPane(area);
        desktop.add(pane, c);

        frame.setContentPane(desktop);
        frame.setPreferredSize(new Dimension(800, 600));
        frame.pack();
        frame.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE);
        frame.setVisible(true);

    }
}