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In the figure, ABCD and BECD are parallelograms.

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In the figure, ABCD and BECD are parallelograms. [#permalink] New post 17 Sep 2018, 20:32
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#GREpracticequestion In the figure, ABCD and BECD are parallelograms.jpg
#GREpracticequestion In the figure, ABCD and BECD are parallelograms.jpg [ 14.33 KiB | Viewed 3898 times ]


In the figure, ABCD and BECD are parallelograms.

Quantity A
Quantity B
Area of parallelogram ABCD
Area of parallelogram BECD


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: In the figure, ABCD and BECD are parallelograms. [#permalink] New post 17 Sep 2018, 23:54
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Carcass wrote:
Attachment:
pl.jpg


In the figure, ABCD and BECD are parallelograms.

Quantity A
Quantity B
Area of parallelogram ABCD
Area of parallelogram BECD


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



A parallelogram on the same base and between the same parallel lines are equal.

i.e. QTY A = QTY B

Option C
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Re: In the figure, ABCD and BECD are parallelograms. [#permalink] New post 18 Jan 2019, 17:03
All parallelogram same base and between the same parallel lines are equal.
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Re: In the figure, ABCD and BECD are parallelograms. [#permalink] New post 17 Nov 2019, 04:14
Carcass wrote:


Attachment:
#GREpracticequestion In the figure, ABCD and BECD are parallelograms.jpg


In the figure, ABCD and BECD are parallelograms.

Quantity A
Quantity B
Area of parallelogram ABCD
Area of parallelogram BECD


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



We know that a diagonal of a parallelogram cuts the parallelogram into two triangles of equal area.

Since BD is a diagonal of parallelogram ABCD, the area of the parallelogram equals twice the area of either of the two equal triangles ∆ABD or ∆DBC.

Hence, Column A = 2(area of ∆DBC). Similarly, since BC is a diagonal of parallelogram BECD, the area of the parallelogram BECD is 2(area of ∆DBC).

Thus, both columns equal 2(area of ∆DBC), and the answer is (C)
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Re: In the figure, ABCD and BECD are parallelograms.   [#permalink] 17 Nov 2019, 04:14
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In the figure, ABCD and BECD are parallelograms.

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