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02 Aug 2018, 01:03
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:14) correct
20%
(01:38)
wrong
based on 161
sessions
History
Date
Time
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Not Attempted Yet
If ABCE is a rectangle, is the area of ΔAED greater than the area of ΔADC ?
(1) ED> DC
(2) AE > ED
Attachment:
GMAT_DS_Magoosh_144.png [ 3.54 KiB | Viewed 4806 times ]
02 Aug 2018, 02:37
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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
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
15 Jan 2020, 15:48
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Bunuel
If ABCE is a rectangle, is the area of ΔAED greater than the area of ΔADC ?
(1) ED> DC
(2) AE > ED
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: https://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
Cheers,
Brent
