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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 (see the following figure). Show thatar (ABCD) = ar (PBQR).[Hint: Join AC and PQ. Now compare area (ACQ) and area (APQ)] |
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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 (see the following figure). Show that ar (ABCD) = ar (PBQR). [Hint: Join AC and PQ. Now compare area (ACQ) and area (APQ)]
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