What is the area of the large, black square in the following image?

What is the ratio of area of large square to the area of smaller square in the following image?

What is the area of the blue region in the following image?

Each side of a square is divided into three equal parts by two points on it, which are connected as shown in the diagram below (that is not drawn to scale). If the smaller, red square has an area of 800, what is the area of the large square?

What is the area of the large square?