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 > EDThis tells us nothing about the relative lengths of the base of each triangle, so statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent