Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 27 Aug 2016, 01:59

### 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 June
Open Detailed Calendar

# The area of parallelogram QRST is what percent of the area o

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 06 Aug 2011
Posts: 405
Followers: 2

Kudos [?]: 166 [0], given: 82

The area of parallelogram QRST is what percent of the area o [#permalink]

### Show Tags

29 Oct 2012, 11:41
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:58) correct 39% (01:49) wrong based on 80 sessions

### HideShow timer Statistics

The area of parallelogram QRST is what percent of the area of rectangle PUST?

(1) The ratio of QR to PU is 1:2

(2) The area of the rectangle is 30.

[Reveal] Spoiler:
Attachment:

343 (1).png [ 18.43 KiB | Viewed 3359 times ]
[Reveal] Spoiler: OA

_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Last edited by Bunuel on 27 Aug 2016, 01:49, edited 1 time in total.
Edited the question.
Director
Joined: 03 Sep 2006
Posts: 879
Followers: 6

Kudos [?]: 622 [1] , given: 33

Re: The area of parallelogram QRST is what percent of the area o [#permalink]

### Show Tags

29 Oct 2012, 19:33
1
KUDOS
$$\frac{QR}{PU}=\frac{x}{2x}$$

ratio of areas =$$\frac{1*(x+2x)*Length}{2*2x*Length}$$=$$\frac{3}{4}$$

From (A) it is sufficient.

From B, we can't know or judge about the length of QR.

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6830
Location: Pune, India
Followers: 1926

Kudos [?]: 11945 [1] , given: 221

Re: The area of parallelogram QRST is what percent of the area o [#permalink]

### Show Tags

29 Oct 2012, 21:00
1
KUDOS
Expert's post
sanjoo wrote:
The area of parallelogram QRST is what percent of the area of rectangle PUST?

(1) The ratio of QR to PU is 1:2

(2) The area of the rectangle is 30.

Notice that QRST is a trapezoid, not a parallelogram.

Area of trapezoid = (1/2)*Altitude*(Sum of parallel sides)

Statement 1:

Attachment:

Ques4.jpg [ 6.14 KiB | Viewed 3324 times ]

AREA of QRST = (1/2)*b*(a/2 + a) (Since QR is half of PU)
Area of rectangle PUST = a*b

Ratio = Area of QRST/Area of PUST = [(1/2)*b*(3a/2)]/a*b = 3/4
Sufficient

Statement 2: The area of the rectangle is 30
The position of Q and R will decide the area of QRST. In the two cases given below, the areas will be different. Area of the rectangle is not enough to know the ratio of area of trapezoid and rectangle.

Attachment:

Ques3.jpg [ 9.84 KiB | Viewed 3326 times ]

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Senior Manager
Joined: 06 Aug 2011
Posts: 405
Followers: 2

Kudos [?]: 166 [0], given: 82

Re: The area of parallelogram QRST is what percent of the area o [#permalink]

### Show Tags

29 Oct 2012, 22:40
Thank u karishma and LM..

+1 to both of u
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11092
Followers: 511

Kudos [?]: 134 [0], given: 0

Re: The area of parallelogram QRST is what percent of the area o [#permalink]

### Show Tags

26 Aug 2016, 08:13
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.
_________________
Re: The area of parallelogram QRST is what percent of the area o   [#permalink] 26 Aug 2016, 08:13
Similar topics Replies Last post
Similar
Topics:
What is the area of circle O? 2 20 Mar 2016, 23:34
8 What is the area of parallelogram ABCD ? 14 05 Apr 2011, 15:41
13 What is the area of parallelogram ABCD ? 20 04 Oct 2009, 08:30
22 If the area of a parallelogram is 100, what is the perimeter 35 29 Jun 2009, 19:20
8 What is the area of the parallelogram inscribed in a circle? 18 31 May 2008, 05:28
Display posts from previous: Sort by