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Find the area $0$

Source: Bangladesh National MO 2013

March 5, 2019

geometry

Problem Statement

Higher Secondary P3
Let

ABCDEF

be a regular hexagon with

AB=7

.

M

is the midpoint of

DE

.

AC

and

BF

intersect at

P

,

AC

and

BM

intersect at

Q

,

AM

and

BF

intersect at

R

. Find the value of

[APB]+[BQC]+[ARF]-[PQMR]

. Here

[X]

denotes the area of polygon

X

.

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