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4
2015 Geometry #4
2015 Geometry #4
Source:
July 1, 2022
2015
Geometry Test
Problem Statement
In trapezoid
A
B
C
D
ABCD
A
BC
D
with
A
D
∥
B
C
AD\parallel BC
A
D
∥
BC
,
A
B
=
6
AB=6
A
B
=
6
,
A
D
=
9
AD=9
A
D
=
9
, and
B
D
=
12
BD=12
B
D
=
12
. If
∠
A
B
D
=
∠
D
C
B
\angle ABD=\angle DCB
∠
A
B
D
=
∠
D
CB
, find the perimeter of the trapezoid.
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