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2022 MMATHS Team Online p1 - area chasing, starting with a rectangle

Source:

October 1, 2023

geometryMMATHS

Problem Statement

Rectangle

ABCD

has

AB = 8

and

BC = 13

. Points

P_1

and

P_2

lie on

AB

and

CD

with

P_1P_2 \parallel BC

. Points

Q_1

and

Q_2

lie on

BC

and

DA

with

Q_1Q_2 \parallel AB

. Find the area of quadrilateral

P_1Q_1P_2Q_2

.

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