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

It is currently 29 Apr 2016, 04:11
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the area of the rectangular region above?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 18 Oct 2010
Posts: 410
Followers: 8

Kudos [?]: 61 [0], given: 115

Reviews Badge
What is the area of the rectangular region above? [#permalink]

Show Tags

New post 24 Feb 2011, 11:39
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

73% (01:45) correct 27% (00:43) wrong based on 117 sessions

HideShow timer Statictics

Attachment:
untitled.PNG
untitled.PNG [ 1.94 KiB | Viewed 4388 times ]
What is the area of the rectangular region above?

(1) l + w = 6. Not sufficient to get the value of .
(2) d^2 = 20
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Feb 2012, 14:10, edited 1 time in total.
Edited the question
3 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 2022
Followers: 154

Kudos [?]: 1415 [3] , given: 376

Re: OG Quant review book question [#permalink]

Show Tags

New post 24 Feb 2011, 11:46
3
This post received
KUDOS
(1)
\(l+w = 6\)
\((l+w)^2 = l^2+w^2+2w*l=36\)
\(w*l=\frac{36-l^2-w^2}{2}\)
Not Sufficient.

(2)
\(d^2=l^2+w^2=20\)
Not Sufficient.

Combining both;
\(w*l=\frac{36-(l^2+w^2)}{2}\)
\(w*l=\frac{36-20}{2}\)
\(w*l=\frac{16}{2}\)
\(w*l=8\)(Area is w*l)

Sufficient.

Ans: "C"
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Senior Manager
avatar
Joined: 18 Oct 2010
Posts: 410
Followers: 8

Kudos [?]: 61 [0], given: 115

Reviews Badge
Re: OG Quant review book question [#permalink]

Show Tags

New post 24 Feb 2011, 11:49
Thanks!
Actually, can we not use the pythagorean theorem and 45-45-90 triangle rule to get l and w using (2)?
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32530
Followers: 5620

Kudos [?]: 68186 [2] , given: 9797

Re: OG Quant review book question [#permalink]

Show Tags

New post 24 Feb 2011, 12:10
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
heygirl wrote:
What is the area of a rectangle with length l and width w?
(1)l+w=6
(2)d^2=20(d is the diagonal)


heygirl, please read and follow: how-to-improve-the-forum-search-function-for-others-99451.html

So please:
Make sure you type the question in exactly as it was stated from the source. Yuo should not reword or/and shorten the questions.

Original question:

Attachment:
untitled.PNG
untitled.PNG [ 1.94 KiB | Viewed 3940 times ]
What is the area of the rectangular region above?

\(area=lw=?\)

(1) l + w = 6. Not sufficient to get the value of \(lw\).
(2) d^2 = 20 --> \(l^2 +w^2 = 20\). Not sufficient to get the value of \(lw\).

(1)+(2) Square (1): \(l^2+2lw+w^2=36\), as from (2) \(l^2 +w^2 = 20\) then \(2lw+20=36\) --> \(lw=8\). Sufficient.

Answer: C.

heygirl wrote:
Thanks!
Actually, can we not use the pythagorean theorem and 45-45-90 triangle rule to get l and w using (2)?


Usually the diagonal does not divide a rectangle into two 45-45-90 triangles (it'll be correct only for squares, so when l=w).

Similar questions:
need-some-help-on-this-ds-question-105414.html
og12-d48-102246.html
one-more-geometry-96381.html
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 18 Oct 2010
Posts: 410
Followers: 8

Kudos [?]: 61 [1] , given: 115

Reviews Badge
Re: OG Quant review book question [#permalink]

Show Tags

New post 24 Feb 2011, 12:12
1
This post received
KUDOS
Thanks for letting me know Bunuel. I shall follow the rules henceforth!!
I actually thought b could be the right answer here. I made a wrong assumption :o : diag of a rect make 45 degrees!
Manager
Manager
User avatar
Joined: 17 Feb 2011
Posts: 200
Concentration: Real Estate, Finance
Schools: MIT (Sloan) - Class of 2014
GMAT 1: 760 Q50 V44
Followers: 41

Kudos [?]: 628 [0], given: 70

Re: OG Quant review book question [#permalink]

Show Tags

New post 24 Feb 2011, 17:37
Both Bunuel and fluke approaches were great. Thanks for that!
Manager
Manager
avatar
Joined: 14 Feb 2011
Posts: 196
Followers: 4

Kudos [?]: 98 [0], given: 3

Re: d/s geometry [#permalink]

Show Tags

New post 09 Mar 2011, 00:19
Lolaergasheva wrote:
What is the area of the rectangular region ?
(1) l + w = 6
(2) d^2 = 20


Area of rectangular region is given by \(l*w\).

Statement 1 gives us,\(l+w=6\), but l and w can take any values, so insufficient

Statement 2 gives us \(d^2 = 20\) . Assuming that d refers to length of diagonal, we have \(d^2 = l^2 + w^2 = 20\). Again l and w can take multiple values, so insufficient.

Combining 1 and 2,

we get \(l+w=6\) ... (1)

and \(l^2 + w^2 = 20\).... (2)

Squaring both sides of (1), we get

so, \(l^2 + w^2 + 2l*w = 36\)

Putting \(l^2 + w^2 = 20\) in above we get \(2l*w = 16\) or \(l*w = 8\)

So, sufficient. Answer C
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9209
Followers: 453

Kudos [?]: 114 [0], given: 0

Premium Member
Re: What is the area of the rectangular region above? [#permalink]

Show Tags

New post 06 Sep 2015, 09:26
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
1 KUDOS received
Math Revolution GMAT Instructor
User avatar
Joined: 16 Aug 2015
Posts: 1045
GPA: 3.82
Followers: 61

Kudos [?]: 444 [1] , given: 0

Premium Member
What is the area of the rectangular region above? [#permalink]

Show Tags

New post 07 Sep 2015, 07:28
1
This post received
KUDOS
Expert's post
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.


What is the area of the rectangular region above?

(1) l + w = 6. Not sufficient to get the value of .
(2) d^2 = 20

In the original condition we have 2 variables for the rectangle(width, length) and thus we need 2 variables to match the number of variables and equations. Since there is 1 each in 1) and 2), C is likely the answer.
Attachments

untitled.PNG
untitled.PNG [ 1.94 KiB | Viewed 851 times ]


_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

What is the area of the rectangular region above?   [#permalink] 07 Sep 2015, 07:28
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic What is the area of the rectangular region above? Bunuel 9 26 Feb 2014, 02:31
21 Experts publish their posts in the topic What is the area of rectangular region R? Bunuel 12 17 Jan 2014, 02:31
9 Experts publish their posts in the topic What is the area of triangular region ABC above? Walkabout 10 03 Dec 2012, 04:54
18 Experts publish their posts in the topic What is the area of rectangular region R ? ajit257 19 26 Nov 2010, 13:55
What is the area of rectangular region R? priyanka116 2 29 Jul 2010, 14:05
Display posts from previous: Sort by

What is the area of the rectangular region above?

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.