MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2017 India PRMO
25
25
Part of
2017 India PRMO
Problems
(1)
2017 preRMO p25, areas inside a rectangle
Source:
8/20/2019
Let
A
B
C
D
ABCD
A
BC
D
be a rectangle and let
E
E
E
and
F
F
F
be points on
C
D
CD
C
D
and
B
C
BC
BC
respectively such that area
(
A
D
E
)
=
16
(ADE) = 16
(
A
D
E
)
=
16
, area
(
C
E
F
)
=
9
(CEF) = 9
(
CEF
)
=
9
and area
(
A
B
F
)
=
25
(ABF) = 25
(
A
BF
)
=
25
. What is the area of triangle
A
E
F
AEF
A
EF
?
geometry
rectangle
areas
area of a triangle