MathDB

Easy problem

Source: May Olympiad(Olimpiada de Mayo) 1997

March 14, 2018

geometry

Problem Statement

In a square

ABCD

with side

k

, let

P

and

Q

in

BC

and

DC

respectively, where

PC = 3PB

and

QD = 2QC

. Let

M

be the point of intersection of the lines

AQ

and

PD

, determine the area of

QMD

in function of

k

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