Straight Lines and Pair of Straight Lines

For a point P in the plane, let d1(P) and d2(P) be the distances of the point P from the lines x−y=0 and x+y=0 respectively. The area of the region R consisting of all points P lying in the first quadrant of the plane and satisfying 2≤d1(P)+d2(P)≤4, is ________