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Line Divides Unit Squares Equal Area

1425ApprenticeCoordinate GeometryGeometry

AMC 12B · 2009 · Problem 14

Five unit squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted line, extending from $(c,0)$ to $(3,3)$, divides the entire region into two regions of equal area. What is $c$? [Asymptote diagram]

Answer choices

A
\frac12
B
\frac35
C
\frac23
D
\frac34
E
\frac45
0 students attempted0% solvedRating 1425

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