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

It is currently 12 Dec 2018, 18:20

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
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC,

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

Hide Tags

DS Forum Moderator
avatar
P
Joined: 21 Aug 2013
Posts: 1412
Location: India
Premium Member
A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC,  [#permalink]

Show Tags

New post 15 Aug 2018, 10:15
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:28) correct 38% (01:35) wrong based on 34 sessions

HideShow timer Statistics

A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC, CD and DA respectively. E, F, G, H are joined to form a quadrilateral EFGH. What is the area of quadrilateral EFGH in square units?

(1) AB = 8 units and BC = 6 units.

(2) GH = 5 units.
Manager
Manager
avatar
S
Joined: 11 Mar 2018
Posts: 90
Re: A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC,  [#permalink]

Show Tags

New post 15 Aug 2018, 10:36
1
amanvermagmat wrote:
A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC, CD and DA respectively. E, F, G, H are joined to form a quadrilateral EFGH. What is the area of quadrilateral EFGH in square units?

(1) AB = 8 units and BC = 6 units.

(2) GH = 5 units.


As shown in Image,

Let AB = 2x and BC = 2y

Now as ABCD is a rectangle, that is angle A = angle B = angle C = angle D = 90 degrees,

Analyzing Statement 1 -
(1) AB = 8 units and BC = 6 units.

Now we know what is 2x and 2y from this. Subsequently we know x and y,
Therefore we can find area of the four triangles and subtract their sums from the complete rectangle.
This gives us the area of the quadrilateral formed.

Hence Sufficient.

Analyzing Statement 2 -
(2) GH = 5 units

Knowing GH will not help us find the area of the quadilateral . Also it will not help us in finding sides of the rectangle.

Hence Insufficient.

So IMO answer is A
Attachments

Capture.PNG
Capture.PNG [ 4.36 KiB | Viewed 303 times ]


_________________

Regards
AD
---------------------------------
A Kudos is one more question and its answer understood by somebody !!!

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Premium Member
A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC,  [#permalink]

Show Tags

New post 15 Aug 2018, 10:54
amanvermagmat wrote:
A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC, CD and DA respectively. E, F, G, H are joined to form a quadrilateral EFGH. What is the area of quadrilateral EFGH in square units?

(1) AB = 8 units and BC = 6 units.

(2) GH = 5 units.


The quadrilateral EFGH is a rhombus. (When we joint the midpoints of a rectangle, a rhombus is formed).

Question stem:- Area of the rhombus EFGH?

St1:- AB = 8 units and BC = 6 units.

We have diagonal of rhombus, HF=AB=3 unit & EG=BC=6 unit.

Area of the rhombus EFGH can be determined, Area=0.5*EG*HF
Sufficient.

St2:- GH = 5 units
Only length of sides of the rhombus is given, we need additional information such as angle etc.

Insufficient.

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

GMAT Club Bot
A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC, &nbs [#permalink] 15 Aug 2018, 10:54
Display posts from previous: Sort by

A rectangle ABCD has E, F, G and H as mid-points of its sides AB, BC,

  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®.