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Source: INMO 1994 Problem 5

October 6, 2005
geometryrectanglegeometry solved

Problem Statement

A circle passes through the vertex of a rectangle ABCDABCD and touches its sides ABAB and ADAD at MM and NN respectively. If the distance from CC to the line segment MNMN is equal to 55 units, find the area of rectangle ABCDABCD.