GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Dec 2018, 13:35

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

If the perimeter of quadrilateral ABCD is 4, what is its area?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Current Student
User avatar
Status: GMAT Date: 10/08/15
Joined: 17 Jul 2014
Posts: 87
Location: United States (MA)
Concentration: Human Resources, Strategy
GMAT 1: 640 Q48 V35
GPA: 3.5
WE: Human Resources (Consumer Products)
If the perimeter of quadrilateral ABCD is 4, what is its area?  [#permalink]

Show Tags

New post Updated on: 09 Dec 2014, 06:00
4
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (01:03) correct 40% (00:53) wrong based on 221 sessions

HideShow timer Statistics

If the perimeter of quadrilateral ABCD is 4, what is its area?

(1) All four sides of ABCD are of equal length.

(2) All four internal angles of ABCD are right angles.

_________________

Thanks,
aimtoteach


~~~~~~~~~~~~~~~~~

Please give Kudos if you find this post useful.


Originally posted by aimtoteach on 09 Dec 2014, 05:58.
Last edited by Bunuel on 09 Dec 2014, 06:00, edited 1 time in total.
Renamed the topic and edited the question.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51280
Re: If the perimeter of quadrilateral ABCD is 4, what is its area?  [#permalink]

Show Tags

New post 09 Dec 2014, 06:05
4
1
If the perimeter of quadrilateral ABCD is 4, what is its area?

(1) All four sides of ABCD are of equal length --> this implies that ABCD is a square (area = 1) or a rhombus (area < 1). Not sufficient.

(2) All four internal angles of ABCD are right angles --> this implies that ABCD is a square (area = 1) or a rectangle. Not sufficient.

(1)+(2) ABCD is a square --> the area = 1. Sufficient.

Answer: C.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rule 3. Thank you.


_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Current Student
User avatar
Status: GMAT Date: 10/08/15
Joined: 17 Jul 2014
Posts: 87
Location: United States (MA)
Concentration: Human Resources, Strategy
GMAT 1: 640 Q48 V35
GPA: 3.5
WE: Human Resources (Consumer Products)
Re: If the perimeter of quadrilateral ABCD is 4, what is its area?  [#permalink]

Show Tags

New post 09 Dec 2014, 06:13
Thank you Bunuel for the explanation!

I will make sure to post the questions correctly.
_________________

Thanks,
aimtoteach


~~~~~~~~~~~~~~~~~

Please give Kudos if you find this post useful.

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 732
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: If the perimeter of quadrilateral ABCD is 4, what is its area?  [#permalink]

Show Tags

New post 14 Mar 2017, 17:03
If the perimeter of quadrilateral ABCD is 4, what is its area?

(1) All four sides of ABCD are of equal length.

(2) All four internal angles of ABCD are right angles.

This question asks us to calculate the area of ABCD; though, we must know what type of quadrilateral ABCD is in order to calculate the area as different quadrilaterals have different formulas for calculating the area.

Statement (1) tells us that all four sides of ABCD are equal in length; however, this is a trap answer because if we divide the area by 4 then we have only have the side lengths. We have to also know that this quadrilateral and cannot assume quadrilateral is a square. Insufficient.

Statement (2) tells us that all the interior angles are right angles, however, this property does not exclusively apply to rectangles- in other words, the quadrilateral could also be a rhombus.
Insufficient.

Statement (1) and Statement (2) still do no provide enough information as we cannot discern whether the shape is a rhombus or rectangle.
Director
Director
User avatar
S
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 516
Location: India
Premium Member
Re: If the perimeter of quadrilateral ABCD is 4, what is its area?  [#permalink]

Show Tags

New post 15 Mar 2017, 02:32
perimeter is 4

St 1: all sides equal. hence length of one side = 1. the figure could be square or rhombus. Hence area CANNOT BE DETERMINED.
St 2: all angles are equal. it could be a square or rectangle. hence we can say that l +b =2. INSUFFICIENT

St 1 & St 2. we can say that it is a square. hence the area will be 1*1 =1. ANSWER

option C
_________________

GMAT Mentors
Image

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9206
Premium Member
Re: If the perimeter of quadrilateral ABCD is 4, what is its area?  [#permalink]

Show Tags

New post 14 Aug 2018, 23:49
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If the perimeter of quadrilateral ABCD is 4, what is its area? &nbs [#permalink] 14 Aug 2018, 23:49
Display posts from previous: Sort by

If the perimeter of quadrilateral ABCD is 4, what is its area?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.