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02 Sep 2018, 22:11
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (00:51) correct
37%
(01:32)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the parallelogram ABCD?
(1) The sum of Angle C and Angle B is 180°
(2) The shortest possible distance from point A to line segment DC is 10.
Attachment:
image024.jpg [ 1.5 KiB | Viewed 2064 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
03 Sep 2018, 02:53
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Bunuel
Question : What is the area of the parallelogram ABCD?
Area of Parallelogram = Base * Height
We already have Base = 8 so we only need the Height of the Parallelogram i.e. perpendicular distance between AB and CD
Statement 1: The sum of Angle C and Angle B is 180°
This is a fact about any parallelogram hence Options A C D may be eliminated only options B and E remain
NOT SUFFICIENT
Statement 2: The shortest possible distance from point A to line segment DC is 10.
i.e. Height = 10 hence
Area of parallelogram = 8*10 = 80
SUFFICIENT
Answer: Option B
03 Sep 2018, 08:47
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GMATinsight
Can we consider the height as 90 degrees because it says that the shortest distance from point A to line segment DB in this case is always going to be at 90 degrees?
03 Sep 2018, 12:42
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Bunuel
The following are just "conceptual considerations", not a new solution to this problem.
As mentioned in a previous post, two consecutive internal angles of ANY parallelogram are always supplements (i.e., their sum is 180 degrees).
In other words, statement (1) adds NOTHING to the question stem (pre-statements) and, because of that, we are sure (1) is INSUFFICIENT (= no need for an explicit bifurcation).
The rationale above DOES take into account an important implicit rule of ANY Data Sufficiency, the following:
In any Data Sufficiency problem, the question stem pre-statements is ALWAYS not enough to answer the focus (=question asked) in a unique way.
I hope these considerations are useful.
Regards,
fskilnik.
