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AB is parallel to CD.

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Carcass
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AB is parallel to CD. [#permalink] New post   22 May 2017, 01:47
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AB is parallel to CD.
AD is parallel to BC.
2AD = EG

Quantity A
Quantity B
The area of ABCD
The area of EFG



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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C
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Re: AB is parallel to CD. [#permalink] New post   22 May 2017, 07:20
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Carcass wrote:


Image

AB is parallel to CD.
AD is parallel to BC.
2AD = EG

Quantity A
Quantity B
The area of ABCD
The area of EFG




The given information tells us that ABCD is a parallelogram, which means the area = (base)(height)
Let x = the length of the base (AD)
We're told that L = the height of the parallelogram
So, the area of ABCD = (x)(L)

Area of triangle = (base)(height)/2
Given: 2AD = EG
We already let x = the length of AD
So, EG = 2x
In other words, the length of the triangle's base = 2x
We're told that L = the height of the triangle
So, the area of triangle EFG = (L)(2x)/2 = (L)(x)

We have:
Quantity A: (x)(L)
Quantity B: (L)(x)

Answer:
Show: ::
C


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Re: AB is parallel to CD. [#permalink] New post   29 Sep 2018, 11:47
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Re: AB is parallel to CD. [#permalink] New post   12 Jan 2019, 07:39
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Geometry [#permalink] New post   26 Mar 2019, 00:17
AB is parallel to CD.

AD is parallel to BC.
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Re: AB is parallel to CD. [#permalink] New post   29 Sep 2019, 05:00
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This question only checks whether you know the Area formulas for Triangle and Parallelogram.
No traps.
Hardly a real GRE test question probably.
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Re: AB is parallel to CD. [#permalink] New post   29 Sep 2019, 08:24
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GREcrusher wrote:
This question only checks whether you know the Area formulas for Triangle and Parallelogram.
No traps.
Hardly a real GRE test question probably.



Agree. The inferential logic is minimum if not zero.

however, it is still good to refresh contents
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Re: AB is parallel to CD. [#permalink] New post   05 Jul 2021, 11:58
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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Re: AB is parallel to CD. [#permalink]
05 Jul 2021, 11:58
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