Canvas drawn objects mouse events

I have the following code:

public void draw(Context2d context) {

context.beginPath();
context.rect(x, y, width, height);
context.fill();
context.closePath();
context.stroke();

}

I would like to add a mouse event for when the mouse moves over the rectangle.  What's the best way to do this?  I was able to do it if I in the mouse move event for the canvas and with an if statement I checked to see if the mouse moved within the coordinates of the rectangle.  

canvas.addMouseMoveHandler(new MouseMoveHandler() {

      public void onMouseMove(MouseMoveEvent event) {

        mouseX = event.getRelativeX(canvas.getElement());        
        mouseY = event.getRelativeY(canvas.getElement());

        if(insideRectangle(mouseX, mouseY)) {

            // fire mouse event for rectangle

        }

      }

    });

However, I am worry about working with a bunch of objects and speed doing it this way.  Is there a way to add a mouseMoveHandler directly to the rectangle?

Thanks,

Matt

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