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

 It is currently 16 Jan 2019, 17:16

### 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

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# The midpoints of the sides of square ABCD above are connected to form

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52161
The midpoints of the sides of square ABCD above are connected to form  [#permalink]

### Show Tags

11 Jan 2019, 00:56
00:00

Difficulty:

25% (medium)

Question Stats:

90% (00:58) correct 10% (00:56) wrong based on 21 sessions

### HideShow timer Statistics

The midpoints of the sides of square ABCD above are connected to form square EFGH. What is the ratio of the area of square EFGH to the area of square ABCD?

A. 1/4

B. 1/3

C. 1/2

D. $$\frac{1}{\sqrt{2}}$$

E. 2/1

Attachment:

2019-01-11_1254.png [ 15.87 KiB | Viewed 207 times ]

_________________
Manager
Joined: 28 Aug 2018
Posts: 190
Re: The midpoints of the sides of square ABCD above are connected to form  [#permalink]

### Show Tags

11 Jan 2019, 01:03
IMO C

AB side is x...area s x2

EF side is x/square root of 2..... area is x2/2

EF: AB (area)=1/2
_________________

"Press +1 KUDOS"

Be very critical of my Post
Ask as many questions of my post possible

VP
Joined: 18 Aug 2017
Posts: 1162
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
Re: The midpoints of the sides of square ABCD above are connected to form  [#permalink]

### Show Tags

11 Jan 2019, 03:46
Bunuel wrote:

The midpoints of the sides of square ABCD above are connected to form square EFGH. What is the ratio of the area of square EFGH to the area of square ABCD?

A. 1/4

B. 1/3

C. 1/2

D. $$\frac{1}{\sqrt{2}}$$

E. 2/1

Attachment:
2019-01-11_1254.png

let square abcd = 4 and efgh will be 2 sqrt2

so 8/4*4 = 1/2 IMO C
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Manager
Joined: 18 Oct 2018
Posts: 51
Location: India
GPA: 4
Re: The midpoints of the sides of square ABCD above are connected to form  [#permalink]

### Show Tags

11 Jan 2019, 11:00
In square EFGH, side EF=diagonal/(2)^1/2= EG/sqrt 2
Area of square EFGH= EF^2= (EG^2)/2
Area of sqaure ABCD= AB^2= EG^2

So, ration of area EFGH/area ABCD={( EG^2)/2}/EG^2= 1/2
Re: The midpoints of the sides of square ABCD above are connected to form &nbs [#permalink] 11 Jan 2019, 11:00
Display posts from previous: Sort by