Hello everyone, I recently faced the problem of finding the area covered by several rectangles. Here is an example text: there is a canvas, rectangles are drawn on it (intersections are possible) and you need to find a shaded area. For example, if one rectangle is drawn on top of another, then the coverage area is equal to the area of one of the rectangles. Is there a universal way to solve for N rectangles?
Problem: The Beitsburg Art Museum hosts an exhibition of works by postmodern artists. The suprematist Baitevich makes a new canvas "Rectangles" especially for the exhibition. During the first day of work, Baitievich painted over one rectangle in gray. During the second day of work, Baytovich painted over another rectangle with a brown color. During the third day of work, Baytievich painted over the third rectangle in crimson, after which he announced that the masterpiece was completed. The organizers of the exhibition agreed to pay Baitevich an amount proportional to the area of the area painted over on the canvas. Since rectangles can intersect, the task turned out to be not so simple, so you are assigned to calculate the corresponding area.