ABCD is a parallelogram. Two lines\[l\]and m are parallel to AD. Line\[l\]meets AB and CD at P and S respectively. Line m meets AB and CD at Q and R respectively. X is any point on CD between R and S. If\[ar(\Delta DPX)+ar(\Delta CQX)=kar(ABCD),\]find k.

ABCD is a parallelogram. Two lines\[l\]and m are parallel to AD. Line\

1.	ABCD is a parallelogram. Two lines\[l\]and m are parallel to AD. Line\[l\]meets AB and CD at P and S respectively. Line m meets AB and CD at Q and R respectively. X is any point on CD between R and S. If\[ar(\Delta DPX)+ar(\Delta CQX)=kar(ABCD),\]find k.
A.	\[\frac{2}{3}\]
B.	\[\frac{3}{2}\]
C.	\[\frac{1}{2}\]
D.	\[\frac{1}{3}\]
Answer» D. \[\frac{1}{3}\]

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ABCD is a parallelogram. Two lines\[l\]and m are parallel to AD. Line\[l\]meets AB and CD at P and S respectively. Line m meets AB and CD at Q and R respectively. X is any point on CD between R and S. If\[ar(\Delta DPX)+ar(\Delta CQX)=kar(ABCD),\]find k.

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