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MathNet 2015-part-06 — 191 problems (EN–VI) Question 28

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

Question 28

$ABCD$ is a rectangle and $P$ is a point on $BC$. If the area of triangle $ABP$ is one third of the area of the rectangle, then the ratio $BP : PC$ is
Question illustration
(A) $5 : 2$
(B) $3 : 2$
(C) $2 : 1$
(D) $3 : 1$
(E) $9 : 4$