AbeNeedsAnswers wrote: ↑Sun May 05, 2019 9:27 pm
If, in the figure above, ABCD is a rectangular region, what is the value of the ratio of (area of triangle EDA)/(area of triangle EBC)?
(1) AD = 4
(2) AE = 2 and EB = 4
B
Source: Official Guide 2020
Solution:
Question Stem Analysis:
We need to determine the ratio of the area of triangle EDA to that of triangle EBC. Notice the two triangles have the same height. Therefore, we are really determining the ratio of AE to BE.
Statement One Alone:
Knowing AD (the height of triangle EDA) does not allow us to determine the desired ratio. Statement one alone is not sufficient.
Statement Two Alone:
Recall that in the stem analysis, the ratio of area of triangle EDA to that of triangle EBC is equal to the ratio of AE to BE. Therefore, knowing AE and BE is sufficient to determine the desired ratio. In fact, (area of triangle EDA)/(area of triangle EBC) = AE/BE = 2/4 = 1/2. Statement two alone is sufficient.
Answer: B
