As shown below, a rectangle ABCD of area 2022 is divided into a rectangle EFGH, two isosceles right triangles, and three trapezoids. Given that besides the shaded rectangle EFGH, the other five shapes have the same area, and E and H are the midpoints on the hypotenuses of the two isosceles right triangles. Find the approximate are of the rectangle EFGH.

Please answer this correctly.