NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 02:26 It is currently 26 Apr 2024, 02:26
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If a square has a perimeter of x, then, in terms of x what is the leng

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619097 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If a square has a perimeter of x, then, in terms of x what is the leng [#permalink] New post   23 Aug 2018, 03:36
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

86% (01:06) correct 14% (01:25) wrong based on 38 sessions
Hide Show timer Statistics
If a square has a perimeter of x, then, in terms of x what is the length of the diagonal of the square?


A. \(4x\sqrt{2}\)

B. \(\frac{x\sqrt{2}}{2}\)

C. x^2/16

D. x/2

E. \(\frac{x\sqrt{2}}{4}\)
ShowHide Answer
Official Answer
E
User avatar
D
PKN
Director
Director
Joined: 01 Oct 2017
Status:Learning stage
Posts: 827
Own Kudos [?]: 1298 [0]
Given Kudos: 41
WE:Supply Chain Management (Energy and Utilities)
Send PM
Re: If a square has a perimeter of x, then, in terms of x what is the leng [#permalink] New post   23 Aug 2018, 03:43
Bunuel wrote:
If a square has a perimeter of x, then, in terms of x what is the length of the diagonal of the square?


A. \(4x\sqrt{2}\)

B. \(\frac{x\sqrt{2}}{2}\)

C. x^2/16

D. x/2

E. \(\frac{x\sqrt{2}}{4}\)


Perimeter=4*length of side=x
Or, length of side=x/4
Diagonal of square=\(\sqrt{2}\)* length of side=\(\sqrt{2}*\frac{x}{4}\)

Ans. (E)
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If a square has a perimeter of x, then, in terms of x what is the leng [#permalink] New post   23 Aug 2018, 07:50
Bunuel wrote:
If a square has a perimeter of x, then, in terms of x what is the length of the diagonal of the square?


A. \(4x\sqrt{2}\)

B. \(\frac{x\sqrt{2}}{2}\)

C. x^2/16

D. x/2

E. \(\frac{x\sqrt{2}}{4}\)

Sides of the square = \(\frac{x}{4}\)

So, Diagonal of the square = \(\frac{x√2}{4}\), Answer must be (E)
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: If a square has a perimeter of x, then, in terms of x what is the leng [#permalink] New post   26 Aug 2018, 19:16
Expert Reply
Bunuel wrote:
If a square has a perimeter of x, then, in terms of x what is the length of the diagonal of the square?


A. \(4x\sqrt{2}\)

B. \(\frac{x\sqrt{2}}{2}\)

C. x^2/16

D. x/2

E. \(\frac{x\sqrt{2}}{4}\)


We can let n = side and create the perimeter equation:

4n = x

n = x/4
Recall that the diagonal of a square is the hypotenuse of a 45-45-90 triangle. Thus, we have:

Hypotenuse = Diagonal = side * √2 = x/4 * √2 = x√2/4

Answer: E
User avatar
P
varun4s
Senior Manager
Senior Manager
Joined: 07 Jul 2012
Posts: 281
Own Kudos [?]: 324 [0]
Given Kudos: 71
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Send PM
Re: If a square has a perimeter of x, then, in terms of x what is the leng [#permalink] New post   26 Aug 2018, 19:33
Perimeter of square= x

Side of square must be= \(\frac{x}{4}\)

Diagonal of square= \(\sqrt{2}\) * side of square= \(\frac{x}{4}\sqrt{2}\)

Answer: E.
GMAT Club Bot
gmatclubot
Re: If a square has a perimeter of x, then, in terms of x what is the leng [#permalink]
26 Aug 2018, 19:33
Moderators:
Bunuel
Math Expert
92921 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions