help me with this ASAP please show short solution no need to explain or anything solve ASAP

3. Find the largest possible area of a rectangle inscribed in the region bounded by the half- hyperbola y2 11:2 = 4, y 3} 0,. and the line y = 8, where one side of the rectangle lies on the line 1; = 8 and two vertices of the rectangle are on the balf-hyperbola 3f 1:2 = 4 {see one of the possible inscribed rectangles in the picture below}. (round answer to 2 decimal places) y232=4,y>0