Oct 22 09:00 AM PDT  10:00 AM PDT Watch & learn the Do's and Don’ts for your upcoming interview Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes. Oct 27 07:00 AM EDT  09:00 AM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58421

The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
25 Oct 2015, 09:08
Question Stats:
71% (01:27) correct 29% (01:13) wrong based on 1492 sessions
HideShow timer Statistics
The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border? (1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot. Kudos for a correct solution.Attachment:
20151025_2007.png [ 1.38 KiB  Viewed 20161 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815

The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
14 May 2016, 07:59
Bunuel wrote: The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border? (1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot. Kudos for a correct solution.Attachment: 20151025_2007.png Solution: We are given a rectangular rug with a uniform border. Let’s begin by sketching and labeling the dimensions of the rug and the rug’s border below. We must determine the area of the rug that excludes the border. Thus, according to our diagram above, we must determine the product of W and L. Note that the entire length of the rug is (L + 2x) and the entire width of the rug is (W + 2x). Statement One Alone:The perimeter of the rug is 44 feet. We will use the formula for the perimeter of a rectangle, which is P = 2W + 2L. Using the information in statement one, we can now create the following equation for the perimeter of the rug: 2(W + 2x) + 2(L + 2x) = 44 2W + 4x + 2L + 4x = 44 2W + 2L + 8x = 44 We see that we do not have enough information to determine the value of WL. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D. Statement Two Alone:The width of the border on all sides is 1 foot. We know x = 1, but we still don’t know the value of either W or L. Thus, the information in statement two is not sufficient to answer the question. We can eliminate answer choice B. Statements One and Two Together:Using the information in statements one and two we know that 2W + 2L + 8x = 44 and that x = 1. So, 2W + 2L + 8(1) = 44 2W + 2L = 36 W + L = 18 Since there are many pairs of numbers that add up to 18, we can’t determine the exact values of W and L. Thus, we still do not have enough information to determine the value of WL. Answer: E
_________________
5star 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.




Intern
Joined: 22 Sep 2014
Posts: 31

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
25 Oct 2015, 10:29
Bunuel wrote: The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border? (1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot. Kudos for a correct solution.Attachment: 20151025_2007.png Will go with answer EStatement 1: does not provide the length or width individually. Length and width could be different. For example L = 22 and W = 2, or L = 11 and w = 4. So the area will vary. Not sufficient.Statement 2: only the width of the border is given i.e 1 foot. Can not possible to calculate area. Not sufficientCombine: Combining both will also not possible as its the same thing the area will be changing because we don't know specific value of length and width. Not sufficient.
_________________
Thanks & Regards, Vikash Alex (Do like the below link on FB and join us in contributing towards education to underprivilege children.) https://www.facebook.com/svect



Intern
Joined: 10 Aug 2015
Posts: 30
Location: India
GPA: 3.5
WE: Consulting (Computer Software)

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
28 Apr 2016, 05:28
Bunuel wrote: The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border? (1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot. Kudos for a correct solution.Attachment: 20151025_2007.png So from statement 1 we know perimeter = 44. Not sufficient to find area as we don't know individual sides. from statement 2 we know border is of 1ft. Not sufficient to find area as we don't know individual sides. Now combining both we know if the sides are x and y without the borders then 2{(x+2)+(y+2)} = 44 => x+y = 18. So x & y could be any possible combination that gives sum 18. So area will vary depending on the combination. That's why answer is



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8025
GPA: 3.82

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
15 May 2016, 21:28
If we look at the original condition, we have to know the length and width of the rug. Also, we have to know width of the border. Hence, there are 3 variables in the original condition. In order to match the number of variables and the number of equations, we need to have 3 equations. The condition 1) and the condition 2) each has 1 equation. Hence, there is high chance E is the correct answer. In fact, we cannot know the width and the length of the rug even if we use the condition 1) and the condition 2). Hence the correct answer is E.  For cases where we need 3 more equations, such as original conditions with “3 variables”, or “4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since E is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, C or D.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 1 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Intern
Joined: 03 Dec 2012
Posts: 11
Location: United Kingdom
Concentration: Finance, International Business
GPA: 3.57

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
30 Jul 2016, 04:06
Bunuel wrote: The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border? (1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot. Kudos for a correct solution.Attachment: 20151025_2007.png 1) It is given that the perimeter of the rug(Including the Border) is 44 feet. Which means 2l+2w=44 l+w=22, So we have multiple possibilities for l & w, hence INSUFFICIENT 2)Here we are only provided with the width of the border and no other information is provided, hence INSUFFICIENT 1+2 Combining both the answers we still do not have enough information of length and width to calculate the area of the portion of rug excluding the border.



Intern
Joined: 12 Jun 2016
Posts: 27
Location: India
Concentration: Entrepreneurship, Finance
GPA: 3.76
WE: Information Technology (Computer Software)

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
30 Jul 2016, 04:52
Let us assume the length and width to be L and W respectively.
Statement 1: 2(L+W) = 44 L+W = 22 This statement does not provide information about individual length and width of rug. No information about border width. So, Insufficient. Statement 2: Border width is 1 foot. But, no information about length and width of rug. Clearly, Insufficient.
Combining both: Still we can't deduce unique values for L and W. Hence, Insufficient.
Ans. E



VP
Joined: 23 Feb 2015
Posts: 1262

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
14 Nov 2016, 15:01
Bunuel wrote: The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border? (1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot. statement 1: 2l+2w=44 so, l+w=22 insufficient.. statement 2: there is no info about length and width of rug. so, insufficient. Combined (1)+(2) length of rug=l(1+1)=l2, width of rug=w(1+1)=w2 So, area of rug=(l2)*(w2) we can not find the are of rug for this unknown variable. So, insufficient... Is my explanation correct Bunuel? Thanks...
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”― Henry Wadsworth LongfellowDo you need official questions for Quant?3700 Unique Official GMAT Quant Questions SEARCH FOR ALL TAGSGMAT Club Tests



Intern
Joined: 05 Jan 2017
Posts: 21
Location: India

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
01 Mar 2017, 23:16
just tweak the problem and make Rug square  than may be possible to find the numbers.



Director
Joined: 12 Nov 2016
Posts: 699
Location: United States
GPA: 2.66

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
12 Mar 2017, 21:41
This question asks us to find the area of the white rectangle as interpreted by the stimulus.
The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border?
(1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot.
Statement (1) tells us that the perimeter of the rug is 44 feet; though, we do know the ratio of the side lengths and therefore there are multiple possibilities for the width and length. For example, you could have a length of 12 and width of 10. I almost tried to be creative with this question and had this impulse to find some reason to apply the Pythagorean theorem; though, there is no need to because even if you did that you would not be able to calculate the length and width of the rectangle within the black rectangle. Insufficient.
Statement (2) tells us that the width of the border on all sides is 1 foot however, we run into the same dilemma as statement one. Insufficient.
Hence, both statements taken together are insufficient.



Intern
Joined: 12 May 2017
Posts: 8
Location: United States (CA)
Concentration: Real Estate, Nonprofit
GPA: 3.85

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
16 May 2017, 16:27
it took me less than 5 secs to react to the right answer of this question. Of course, it is E, no information given to calculate the requirement of the question.



Intern
Joined: 03 Jun 2019
Posts: 1

Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
Show Tags
07 Aug 2019, 00:23
I understand why Condition 1 and 2 individually doesn't give us an answer. However I'm unable to understand how a combination will not help us with an answer. Have provided below my answer on combination.
On combination, we can say that the area of the shaded region = 44*1  4 * (1^2). The reduction is on account of duplication at the corners. It would be great if somebody can help me understand why this approach is wrong.
Posted from my mobile device




Re: The rectangular rug shown in the figure above has an accent border.
[#permalink]
07 Aug 2019, 00:23






