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Mathematics
Mathematics
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, points
L
L
L
,
M
M
M
and
N
N
N
are the midpoints of
X
Y
XY
X
Y
,
Y
Z
YZ
Y
Z
and
Z
X
ZX
Z
X
respectively. If the area of
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
is
96
cm
2
96\,\text{cm}^2
96
cm
2
, then the area of the quadrilateral
Y
L
N
M
YLNM
Y
L
N
M
is a)
72
cm
2
72\,\text{cm}^2
72
cm
2
b)
48
cm
2
48\,\text{cm}^2
48
cm
2
c)
32
cm
2
32\,\text{cm}^2
32
cm
2
d)
24
cm
2
24\,\text{cm}^2
24
cm
2
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