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

 It is currently 21 Oct 2019, 05:34

### 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

# In the figure above, the area of square ABCD is half the area of recta

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58421
In the figure above, the area of square ABCD is half the area of recta  [#permalink]

### Show Tags

17 Jan 2019, 23:38
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:14) correct 48% (01:11) wrong based on 40 sessions

### HideShow timer Statistics

In the figure above, the area of square ABCD is half the area of rectangle AEFC. What is the ratio of AC to BE?

A 1/4
B 1/3
C 1/2
D 1/1
E 2/1

Attachment:

2019-01-18_1036.png [ 4.42 KiB | Viewed 545 times ]

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5026
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the figure above, the area of square ABCD is half the area of recta  [#permalink]

### Show Tags

18 Jan 2019, 04:53
Bunuel wrote:

In the figure above, the area of square ABCD is half the area of rectangle AEFC. What is the ratio of AC to BE?

A 1/4
B 1/3
C 1/2
D 1/1
E 2/1

Attachment:
2019-01-18_1036.png

area of square = 4 ; rectangle = 8
we can say side of square = 2 and rectangle l=4 and breadth = side of square = 2
so the part AC= 2 and BE = AE-AB = 4-2 = 2
so ratio : 2/2 ; 1/1 IMO D
LBS Moderator
Joined: 04 Jun 2018
Posts: 649
Location: Germany
Concentration: General Management, Finance
GMAT 1: 730 Q47 V44
GPA: 3.4
WE: Analyst (Transportation)
Re: In the figure above, the area of square ABCD is half the area of recta  [#permalink]

### Show Tags

18 Mar 2019, 06:07
The question basically tells us that the rectangle is exactly twice as big as the square. Thus we can imagine the rectangle consists of two squares the size of our initial square. Hence, the distance of AB is the exact same as BE.

This one can be solved without a single calculation.
_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8117
Location: United States (CA)
Re: In the figure above, the area of square ABCD is half the area of recta  [#permalink]

### Show Tags

19 Mar 2019, 19:11
Bunuel wrote:

In the figure above, the area of square ABCD is half the area of rectangle AEFC. What is the ratio of AC to BE?

A 1/4
B 1/3
C 1/2
D 1/1
E 2/1

Attachment:
2019-01-18_1036.png

We can let the side of square ABCD = the width of rectangle AEFC = 4, and so the length of rectangle AEFC = 8. Since AB = AC = 4, BE = AE - AB = 8 - 4 = 4. Thus the ratio of AC to BE is 4/4 = 1/1.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: In the figure above, the area of square ABCD is half the area of recta   [#permalink] 19 Mar 2019, 19:11
Display posts from previous: Sort by