Two points should be all you need. However, I'm not sure why you want to cross. Either you need to know the area (width * height), or you need to visualize the intersection. In any case, it is enough to know the two points of the rectangle. I have prepared a small example in case it will be useful to you.
var p1 = "M100 100 L100 400 L400 400 L400 100 Z", p2 = "M200 200 L200 500 L500 500 L500 200 Z"; var paper = new Raphael(0, 0, 800, 600); paper.path(p1).attr({fill : "red", opacity : 1}); paper.path(p2).attr({fill : "blue", opacity : 0.5}); var points = Raphael.pathIntersection(p1, p2); var w = points[1].x-points[0].x, h = points[0].y-points[1].y; var group = paper.set(); group.push(paper.rect(510, 100, w, h).attr({fill: "yellow"})); group.push(paper.text(610, 150, "The intersection area\nis drawn over here.\n \nWidth: " + w + "\nHeight: " + h));
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