MathDB
rectangle is divided into 9 small rectangles

Source: Argentina 1994 OMA L3 p4

May 13, 2024
geometryareasRectanglesrectangle

Problem Statement

A rectangle is divided into 99 small rectangles if by parallel lines to its sides, as shown in the figure. https://cdn.artofproblemsolving.com/attachments/e/d/1fd545862a3c7950249ec54a631c74e59fb9ed.png The four numbers written indicate the areas of the four corresponding rectangles. Prove that the total area of the rectangle is greater than or equal to 9090.