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Mathematics
Mathematics
Problem
Consider a quadrilateral
A
B
C
D
ABCD
A
B
C
D
. The midpoints of sides
A
B
AB
A
B
,
B
C
BC
B
C
,
C
D
CD
C
D
, and
D
A
DA
D
A
are
P
P
P
,
Q
Q
Q
,
R
R
R
, and
S
S
S
respectively. If the diagonals of
A
B
C
D
ABCD
A
B
C
D
are
A
C
=
20
units
AC = 20\,\text{units}
A
C
=
20
units
and
B
D
=
30
units
BD = 30\,\text{units}
B
D
=
30
units
, and they intersect at an angle of
30
∘
30^{\circ}
3
0
∘
, calculate the area of the parallelogram
P
Q
R
S
PQRS
P
QR
S
.
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