ЗАДАЧА ПАЦАНА! Теорема о "бабочке" сбивает ее за 3 сек!

Hey! This is a real GUY PROBLEM. Rectangle ABCD is given. Point M is on the upper side BC, and segments AC and DM intersect at point K. The areas of the resulting parts—quadrilateral ABMK and triangle KCD—are 31 and 15, respectively. Find the area of ​​the entire rectangle! What's the butterfly theorem? Who remembers that theorem? Oh, right, I remembered! Okay, let's get going! We'll break down this Olympiad problem verbally in just 3 seconds, without any heavy systems of equations or trigonometry. And at the end of the video, there's a cool homework assignment: find the ratio of segments BM to MC. Post your answers and solution suggestions in the comments! Subscribe to the "Geometry. Valery Kazakov" channel, like it, and learn correct, beautiful geometry!