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CNCM Online R2P2

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August 8, 2020

CNCMProblem Discussion

Problem Statement

There is a rectangle

ABCD

such that

AB=12

and

BC=7

.

E

and

F

lie on sides

AB

and

CD

respectively such that

\frac{AE}{EB} = 1

and

\frac{CF}{FD} = \frac{1}{2}

. Call

X

the intersection of

AF

and

DE

. What is the area of pentagon

BCFXE

?
Proposed by Minseok Eli Park (wolfpack)

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