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2011 Kosovo National Mathematical Olympiad
4
KMO #4 (Grade 11) [Area of the square]
KMO #4 (Grade 11) [Area of the square]
Source:
March 13, 2011
geometry
rotation
trigonometry
geometry proposed
Problem Statement
A point
P
P
P
is given in the square
A
B
C
D
ABCD
A
BC
D
such that
P
A
‾
=
3
\overline{PA}=3
P
A
=
3
,
P
B
‾
=
7
\overline{PB}=7
PB
=
7
and
P
D
‾
=
5
\overline{PD}=5
P
D
=
5
. Find the area of the square.
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