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Rectangle cut into 6 squares

Source: Kyiv City MO 2023 Round 1, Problem 7.1

December 16, 2023
geometryrectangle

Problem Statement

The rectangle is cut into 6 squares, as shown on the figure below. The gray square in the middle has a side equal to 1. What is the area of the rectangle?
https://i.ibb.co/gg1tBTN/Kyiv-MO-2023-7-1.png