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In the figure, ABCD and BECD are parallelograms.
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17 Sep 2018, 20:32
17 Sep 2018, 20:32
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#GREpracticequestion In the figure, ABCD and BECD are parallelograms.jpg [ 14.33 KiB | Viewed 7930 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.
_________________
Re: In the figure, ABCD and BECD are parallelograms.
[#permalink]
17 Sep 2018, 23:54
17 Sep 2018, 23:54
4
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]
18 Jan 2019, 17:03
18 Jan 2019, 17:03
All parallelogram same base and between the same parallel lines are equal.
Re: In the figure, ABCD and BECD are parallelograms.
[#permalink]
17 Nov 2019, 04:14
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.
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09 Feb 2023, 13:35
09 Feb 2023, 13:35
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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