The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. Show thatar(ABCD) = ar(PBQR).[Hint : Join AC and PQ. Now compare ar(ACQ) and ar(APQ).]

The side AB of a parallelogram ABCD is produced to any point P. A line

1.	The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. Show thatar(ABCD) = ar(PBQR).[Hint : Join AC and PQ. Now compare ar(ACQ) and ar(APQ).]
Answer» The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. Show that ar(ABCD) = ar(PBQR). [Hint : Join AC and PQ. Now compare ar(ACQ) and ar(APQ).]