olymmath

AIME 1985 Problem 4

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A small square is constructed inside a square of area 1 by dividing each side of the unit square into nn equal parts, and then connecting the vertices to the division points closest to the opposite vertices. Find the value of nn if the the area of the small square is exactly 11985\frac1{1985}.

Dataset text AIME 1983 to 2026. Quoted with source.

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Locator aime/1985/p4 · Tag B7N3H3Z048 · Edit this page on GitHub · Keys: j next, k previous