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Splitting a Square

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Author: Terry Trotter
Description: Algebra, difficulty level 3. A square is drawn on a coordinate plane with vertices P(1, 0), Q(2, 0), R(2, 1) and S(1, 1). A line is drawn from the origin that cuts the square into two sections whose areas are in a ratio of 2:1. What's the equation of the "cutting" line?

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Problem page: /library/go.html?destination=2020
Solution page: Problem #2020

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