|
|
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.
27 Aug 2022, 04:30
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
83% (01:08) correct
18%
(01:26)
wrong
based on 40
sessions
History
Date
Time
Result
Not Attempted Yet
Each edge of the cube shown above has length n. What is the perimeter of quadrilateral ABDE?
A. \(2n(1 + \sqrt{2})\)
B. \(n\sqrt{2}\)
C. \(4n\sqrt{2}\)
D. 4n
E. 2n^2
Attachment:
fig03.png [ 8 KiB | Viewed 3743 times ]
31 Aug 2022, 03:20
Kudos
Bookmarks
Step -1
Find the diameter of the square (Upper surface and lower surface of the cube)
by Pythagoras theorem diameter^2 = length^2 + breadth ^2
=> d=sqt(n^2+n^2) = n(sqt 2)
Step -2
Calculate the perimeter of the rectangle
= 2*sides+ 2* diagonals
= 2n + 2(sqt(2)n)
=2n(sqrt2+1)
Find the diameter of the square (Upper surface and lower surface of the cube)
by Pythagoras theorem diameter^2 = length^2 + breadth ^2
=> d=sqt(n^2+n^2) = n(sqt 2)
Step -2
Calculate the perimeter of the rectangle
= 2*sides+ 2* diagonals
= 2n + 2(sqt(2)n)
=2n(sqrt2+1)
