|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
16 Oct 2018, 01:23
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
52% (01:31) correct
48%
(01:48)
wrong
based on 62
sessions
History
Date
Time
Result
Not Attempted Yet
In the parallelogram ABCD shown below (not per the scale), if AB = 2 and BC = 3, what is the area of ABCD?
(A) 3
(B) 4
(C) 6
(D) 3√3
(E) 6√3
Attachment:
2018-10-16_1222.png [ 13.72 KiB | Viewed 2069 times ]
MsInvBanker
Posts: 653
16 Oct 2018, 01:54
Kudos
Bookmarks
Area of parallelogram is \(b*h\)
We have the base here but no height.
To calculate the height, we have a right angle triangle. A 30, 60, 90 triangle. We know the length of the side corresponding to 90 degree. We divide that by 2 to get the length of the side that corresponds to angle 30 degree. \(\frac{2}{2}=1\)
We have the base and the height.
\(b*h\)
\(3*1\)
\(=3\)
Thus, the answer is A.
We have the base here but no height.
To calculate the height, we have a right angle triangle. A 30, 60, 90 triangle. We know the length of the side corresponding to 90 degree. We divide that by 2 to get the length of the side that corresponds to angle 30 degree. \(\frac{2}{2}=1\)
We have the base and the height.
\(b*h\)
\(3*1\)
\(=3\)
Thus, the answer is A.
03 Apr 2020, 05:31
Kudos
Bookmarks
Bunuel
Solution:
- o To find the area of the parallelogram, we need the base and height of the parallelogram
- o Base = \(AD = BC = 3\) units
o In triangle ABE
- o ABE is 30- 60 - 90 triangle
- BE: AE: AB = \(1: √3: 2\)
- • \(\frac{AB}{BE} =2\)
• \(BE = \frac{2}{2} = 1\)
