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If ABCE is a rectangle, is the area of AED greater than the area of
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Bunuel
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If ABCE is a rectangle, is the area of AED greater than the area of [#permalink] New post  02 Aug 2018, 00:03
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If ABCE is a rectangle, is the area of ΔAED greater than the area of ΔADC ?

(1) ED> DC

(2) AE > ED


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yoannnesme
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Re: If ABCE is a rectangle, is the area of AED greater than the area of [#permalink] New post  02 Aug 2018, 01:37
Area of AED is EDxAE/2.
Area of ADC is DCxAE/2 as AE is also the height of ADC if we take DC as the base.

1) if ED > DC then EDxAE/2 > DCxAE/2. Sufficient.

2) This statement tells us nothing about ADC. Insufficient.

Answer is A
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BrentGMATPrepNow
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If ABCE is a rectangle, is the area of AED greater than the area of [#permalink] New post  15 Jan 2020, 14:48
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Bunuel wrote:
Image
If ABCE is a rectangle, is the area of ΔAED greater than the area of ΔADC ?

(1) ED> DC

(2) AE > ED


Show: ::
Attachment:
GMAT_DS_Magoosh_144.png


Target question: Is the area of triangle AED greater than the area of triangle ADC?

Area of triangle = (1/2)(base)(height)
IMPORTANT: the height of ∆AED is the SAME AS the height of ∆ADC.
So, the area of ∆AED will be greater than the area of ∆ADC only if the BASE of ∆AED is longer than the BASE of ∆ADC

So, we can REPHRASE the target question as....
REPHRASED target question: Is the BASE of ∆AED longer than the BASE of ∆ADC?

Statement 1: ED > DC
In other words, the BASE of ∆AED IS longer than the BASE of ∆ADC.
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Aside: Here's a video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=884

Statement 2: AE > ED
This tells us nothing about the relative lengths of the base of each triangle, so statement 2 is NOT SUFFICIENT

Answer: A

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Brent
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