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Mathematics
Problem
In parallelogram
W
X
Y
Z
WXYZ
W
X
Y
Z
, the midpoints of sides
W
X
WX
W
X
,
X
Y
XY
X
Y
,
Y
Z
YZ
Y
Z
, and
Z
W
ZW
Z
W
are joined in order to form quadrilateral
M
N
P
Q
MNPQ
M
N
P
Q
. What is
area of
M
N
P
Q
area of
W
X
Y
Z
\dfrac{\text{area of }MNPQ}{\text{area of }WXYZ}
area of
W
X
Y
Z
area of
M
N
P
Q
? a)
1
4
\dfrac14
4
1
b)
3
4
\dfrac34
4
3
c)
1
2
\dfrac12
2
1
d)
1
1
1
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