MathDB
Square cutting

Source: Kyiv City MO 2024 Round 1, Problem 7.1

January 28, 2024
geometryrectangle

Problem Statement

Square ABCDABCD is cut by a line segment EFEF into two rectangles AEFDAEFD and BCFEBCFE. The lengths of the sides of each of these rectangles are positive integers. It is known that the area of the rectangle AEFDAEFD is 3030 and it is larger than the area of the rectangle BCFEBCFE. Find the area of square ABCDABCD.
Proposed by Bogdan Rublov
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