7. As shown in the right figure, the side length of the square is 2 meters, and the radius of the four circles is 1 meter, with the centers of the circles being the four vertices of the square. Question: What is the area covered by this square and the four circles in square meters?
13. 42
7.【Solution】Each common part of the circle and the square is a sector, which is a quarter of the area of the circle. Therefore, the area of the entire figure is equal to the area of the square plus the area of four three-quarter circles. The area of four three-quarter circles is equivalent to three times the area of the circle. Thus, the area of the entire figure is equal to the area of the square plus three times the area of the circle. That is, $2 \times 2 + \pi \times 1 \times 1 \times 3 \approx 13.42$ (square meters).

Answer: The area covered by the square and the four circles is approximately 13.42 square meters.