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The area of parallelogram ABCD
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18 Sep 2018, 10:44
18 Sep 2018, 10:44
Expert Reply
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Question Stats:
67% (01:04) correct
32% (00:47) wrong based on 105 sessions
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Attachment:
#GREpracticequestion parallelogram.jpg [ 7.6 KiB | Viewed 11250 times ]
Quantity A |
Quantity B |
15 |
The area of parallelogram ABCD |
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.
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
The area of parallelogram ABCD
[#permalink]
19 Sep 2018, 09:09
19 Sep 2018, 09:09
6
Carcass wrote:
Attachment:
para.jpg
Quantity A |
Quantity B |
15 |
The area of parallelogram ABCD |
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.
Area of parallelogram = (base)(height)
Area of rectangle= (base)(height)
KEY CONCEPT: If ∠BAD were 90°, then quadrilateral BADC would be a rectangle.
As a rectangle, the base would have length 3 and the height would be 5
So, the area WOULD be 15
However, since ∠BAD is actually 65°, the height of the quadrilateral must be LESS THAN 5 (parallelogram BADC is basically a rectangle that has been "pushed over" to be made shorter).
So, area of BADC = (3)(some value that LESS THAN 5)
= some value that's LESS THAN 15
So, we have:
Quantity A: 15
Quantity B: some value that's LESS THAN 15
Answer: A
General Discussion
Re: The area of parallelogram ABCD
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28 Oct 2022, 07:06
28 Oct 2022, 07:06
Hello from the GRE Prep Club BumpBot!
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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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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
