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5 rectangles inside a 11x11 rectangle

Source: X May Olympiad (Olimpiada de Mayo) 2004 L1 P2

September 22, 2022
geometryrectangle

Problem Statement

Inside an 11×1111\times 11 square, Pablo drew a rectangle and extending its sides divided the square into 55 rectangles, as shown in the figure. https://cdn.artofproblemsolving.com/attachments/5/a/7774da7085f283b3aae74fb5ff472572571827.gif Sofía did the same, but she also managed to make the lengths of the sides of the 55 rectangles be whole numbers between 11 and 1010, all different. Show a figure like the one Sofia made.