1985 AIME Problems/Problem 4: Difference between revisions
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== Problem == | == Problem == | ||
A small [[square (geometry) | square]] is constructed inside a square of [[area]] 1 by dividing each side of the unit square into <math>n</math> equal parts, and then connecting the [[vertex | vertices]] to the division points closest to the opposite vertices. Find the value of <math>n</math> if the the area of the small square is exactly <math>\frac1{1985}</math>. | |||
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
* [[1985 AIME Problems/Problem 3 | Previous problem]] | |||
* [[1985 AIME Problems/Problem 5 | Next problem]] | |||
* [[1985 AIME Problems]] | * [[1985 AIME Problems]] | ||
[[Category: Intermediate Geometry Problems]] | |||
Revision as of 12:51, 18 November 2006
Problem
A small square is constructed inside a square of area 1 by dividing each side of the unit square into 
equal parts, and then connecting the vertices to the division points closest to the opposite vertices. Find the value of if the the area of the small square is exactly 
.
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Solution
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