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National and Regional Contests
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MAA AMC
AMC 12/AHSME
1966 AMC 12/AHSME
14
Areas
Areas
Source:
March 22, 2006
geometry
rectangle
ratio
Problem Statement
The length of rectangle
A
B
C
D
ABCD
A
BC
D
is
5
5
5
inches and its width is
3
3
3
inches. Diagonal
A
C
AC
A
C
is dibided into three equal segments by points
E
E
E
and
F
F
F
. The area of triangle
B
E
F
BEF
BEF
, expressed in square inches, is:
(A)
3
2
(B)
5
3
(C)
5
2
(D)
1
3
34
(E)
1
3
68
\text{(A)} \ \frac 32 \qquad \text{(B)} \ \frac 53 \qquad \text{(C)} \ \frac 52 \qquad \text{(D)} \ \frac13\sqrt{34} \qquad \text{(E)} \ \frac13\sqrt{68}
(A)
2
3
(B)
3
5
(C)
2
5
(D)
3
1
34
(E)
3
1
68
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