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

 It is currently 21 Feb 2019, 04:26

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# Figure area of the rectangle above is 36. What is the length of diago

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53061
Figure area of the rectangle above is 36. What is the length of diago  [#permalink]

### Show Tags

17 Jan 2019, 22:40
00:00

Difficulty:

25% (medium)

Question Stats:

66% (01:42) correct 34% (02:39) wrong based on 39 sessions

### HideShow timer Statistics

Figure area of the rectangle above is $$36\sqrt{3}$$. What is the length of diagonal AC?

A 6
B 12
C 18
D 24
E 30

Attachment:

2019-01-18_1038.png [ 5.28 KiB | Viewed 397 times ]

_________________
SVP
Joined: 18 Aug 2017
Posts: 1887
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Figure area of the rectangle above is 36. What is the length of diago  [#permalink]

### Show Tags

Updated on: 18 Jan 2019, 05:23
Bunuel wrote:

Figure area of the rectangle above is 36. What is the length of diagonal AC?

A 6
B 12
C 18
D 24
E 30

Attachment:
2019-01-18_1038.png

x* xsqrt3 = 36 sqrt 3
x= 6
30:60:90
x:xsqrt3: 2x
diagonal ; 2* 6 = 12
IMO B
_________________

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

Originally posted by Archit3110 on 18 Jan 2019, 04:19.
Last edited by Archit3110 on 18 Jan 2019, 05:23, edited 1 time in total.
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Figure area of the rectangle above is 36. What is the length of diago  [#permalink]

### Show Tags

18 Jan 2019, 04:55
1
Bunuel wrote:

Figure area of the rectangle above is 36. What is the length of diagonal AC?

A 6
B 12
C 18
D 24
E 30

Attachment:
2019-01-18_1038.png

The diagonal divides the rectangle in two equal parts and each is a 30-60-90 triangle, where sides are 1:$$\sqrt{3}$$:2.
If we take the common ratio as x, the sides are x, $$\sqrt{3}$$x, and 2x.

Now area of rectangle is $$x*\sqrt{3}$$x=36......$$3x^4=36^2....x^4=4^4*9^4/3=$$
x will come out to be some crazy number, which will surely not be an integer..
so I believe he area should be $$36\sqrt{3}$$, which will give x as 6 and diagonal will be 2x = 2*6=12..
Bunuel, pl relook in the question
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

SVP
Joined: 18 Aug 2017
Posts: 1887
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Figure area of the rectangle above is 36. What is the length of diago  [#permalink]

### Show Tags

18 Jan 2019, 04:58
chetan2u wrote:
Bunuel wrote:

Figure area of the rectangle above is 36. What is the length of diagonal AC?

A 6
B 12
C 18
D 24
E 30

Attachment:
2019-01-18_1038.png

The diagonal divides the rectangle in two equal parts and each is a 30-60-90 triangle, where sides are 1:$$\sqrt{3}$$:2.
If we take the common ratio as x, the sides are x, $$\sqrt{3}$$x, and 2x.

Now area of rectangle is $$x*\sqrt{3}$$x=36......$$3x^4=36^2....x^4=4^4*9^4/3=$$
x will come out to be some crazy number, which will surely not be an integer..
so I believe he area should be $$36\sqrt{3}$$, which will give x as 6 and diagonal will be 2x = 2*6=12..
Bunuel, pl relook in the question

chetan2u
Even I was taken aback seeing the value of x.. seems there is definitely some value error in either answer options or the area of rectangle given..

_________________

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

Math Expert
Joined: 02 Sep 2009
Posts: 53061
Re: Figure area of the rectangle above is 36. What is the length of diago  [#permalink]

### Show Tags

18 Jan 2019, 05:13
chetan2u wrote:
Bunuel wrote:

Figure area of the rectangle above is 36. What is the length of diagonal AC?

A 6
B 12
C 18
D 24
E 30

Attachment:
2019-01-18_1038.png

The diagonal divides the rectangle in two equal parts and each is a 30-60-90 triangle, where sides are 1:$$\sqrt{3}$$:2.
If we take the common ratio as x, the sides are x, $$\sqrt{3}$$x, and 2x.

Now area of rectangle is $$x*\sqrt{3}$$x=36......$$3x^4=36^2....x^4=4^4*9^4/3=$$
x will come out to be some crazy number, which will surely not be an integer..
so I believe he area should be $$36\sqrt{3}$$, which will give x as 6 and diagonal will be 2x = 2*6=12..
Bunuel, pl relook in the question

Fixed the typo. Thank you.
_________________
Re: Figure area of the rectangle above is 36. What is the length of diago   [#permalink] 18 Jan 2019, 05:13
Display posts from previous: Sort by