Finishing / Creating Checkerboard Program

I have my CheckerboardViewer done, my component is what I need finishing. My final product needs to be a checkerboard with alternating red and grey squares but the background is already grey. My code for the Viewer is:

import javax.swing.JFrame;
public class CheckerBoardViewer
{
public static void main(String[] args)
{
JFrame frame = new JFrame();
frame.setSize(300, 400);
frame.setTitle("CheckerBoardViewer");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
CheckerBoardComponent component = new CheckerBoardComponent();
frame.add(component);
frame.setVisible(true);
}
}

And this is what I have of the Component:

import javax.swing.JComponent;
import java.awt.Color;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Rectangle;

[code]....

I've created one square so far, but I'm having trouble creating the code for at least the second square.