9) 8. Find the largest possible area of a rectangle inscribed in the region bounded by the half- hyperbola y2 - x2 = 4, y > 0, and the line y = 8, where one side of the rectangle lies on the line y = 8 and two vertices of the rectangle are on the half-hyperbola y? - x2 = 4 (see one of the possible inscribed rectangles in the picture below). (round answer to 2 decimal places) y = 8 y2 - x2 = 4, y > 0