Rectangle QRST, side QR is parallel to x-axis and on y>0 of the quadratic funtion . And the side ST on the y<0 of the quadratic function . Let P be the point of intersection of the side QT and the x-axis. Let α be the length of the perimeter of this rectangle. Coordinates of P are P(x,0) where 0<x<2.
Find the x-coordinate of the point P where α is maximized and also to find the maximum value of α.