MathDB

Jane Eyrectangle

Source: 2017 AIME II #10

March 23, 2017

AIMEAIME IAIME II

Problem Statement

Rectangle

ABCD

has side lengths

AB=84

and

AD=42

. Point

M

is the midpoint of

\overline{AD}

, point

N

is the trisection point of

\overline{AB}

closer to

A

, and point

O

is the intersection of

BCON

and

\overline{DN}

. Point

P

lies on the quadrilateral

BCON

, and

\overline{BP}

bisects the area of

BCON

. Find the area of

\triangle{CDP}

.

Back to Problems View on AoPS