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705-805 (Hard)|   Geometry|      
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rocketmandoman
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The perimeter of a rectangular window is 28 feet. What is the length 04 Apr 2019, 23:59
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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75% (hard)

Question Stats:

32% (01:20) correct 68% (01:09) wrong based on 91 sessions

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The perimeter of a rectangular window is 28 feet. What is the length of the window?

(1) The difference between the length and width is 2 feet.

(2) The length of the window is 1/3 greater than the width
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B
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Abhi077
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The perimeter of a rectangular window is 28 feet. What is the length 05 Apr 2019, 00:10
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I don't see Why A is not sufficient.
Question : 2L + 2W = 28
i.e L + W = 14
st 1. L - W = 2 (sufficient as we have 2 equations and we can find the value of L)
st.2 provides us one more equation hence sufficient
Shouldn't the OA be D? What am i missing here?
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The perimeter of a rectangular window is 28 feet. What is the length 05 Apr 2019, 00:20
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sarat0994 could you please provide a solution or check if the OA is correct?

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The perimeter of a rectangular window is 28 feet. What is the length 05 Apr 2019, 00:28
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Explanation: If the perimeter of the window is 28 feet, 2l + 2w = 28, or
l + w = 14.
Statement (1) is insufficient. Since l + w = 14 and the two dimensions are
2 apart, l and w must be 6 and 8. However, we don’t know which is which.
Statement (2) is sufficient. Here, we’re given a relationship between the two
dimensions and we know which is which. If l = w +1/3w, we can solve:
l + w = 14
4/3w + w = 14

7/3w = 14
w = 14( 3/7) = 6
l = 8
Choice (B) is correct.

even i am not convinced with this reasoning,hence i have posted the question here.
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The perimeter of a rectangular window is 28 feet. What is the length 05 Apr 2019, 00:59
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sarat0994
Explanation: If the perimeter of the window is 28 feet, 2l + 2w = 28, or
l + w = 14.
Statement (1) is insufficient. Since l + w = 14 and the two dimensions are
2 apart, l and w must be 6 and 8. However, we don’t know which is which.
Statement (2) is sufficient. Here, we’re given a relationship between the two
dimensions and we know which is which. If l = w +1/3w, we can solve:
l + w = 14
4/3w + w = 14

7/3w = 14
w = 14( 3/7) = 6
l = 8
Choice (B) is correct.

even i am not convinced with this reasoning,hence i have posted the question here.
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IMO this reasoning is correct. The length and the width can take any value among 6 and 8. So option A is insufficient.
With information given in option B we can find out the values of the length and the width. So option B is sufficient.

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The perimeter of a rectangular window is 28 feet. What is the length 05 Apr 2019, 07:18
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If in the statement one it's mentioned that L - W = 2, isn't that obvious that L is bigger than W? ( even if it were not, L has to be bigger than W for it to be a rectangle as length of a rectangle is the longest side whether it is vertical or horizontal
So L= 8 & W= 6 Hence statement one is ALSO sufficient
Bunuel please correct me if i'm wrong
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The perimeter of a rectangular window is 28 feet. What is the length 09 Apr 2019, 02:55
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The answer should be (D) as
St 1 says L-W=2, L=2+W from which we can easily calculate the length.
St 2 gives the same answers.
So the OA should be D.
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The perimeter of a rectangular window is 28 feet. What is the length 22 Apr 2020, 07:48
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GMATBusters,

Hello GMATBusters, I was wondering if you could assist me on this problem, I have an issue with statment A, it says that "The difference between the length and width is 2 feet." so I assumed that it means L-W=2 but the OA claims that we cannot deduce which one is bigger L or W, however I believe that if that was the case the statement would state that the distance between L and W (or something like that) is 2 so that it would be
|L-w|=2 and then it would really ensure that we can't assume which one is bigger.
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The perimeter of a rectangular window is 28 feet. What is the length 22 Apr 2020, 08:51
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The “difference" between two numbers refers to the distance on a number line. So, it is always positive.
What is the result when you subtract 3 from 5? here it 5-3 =2.
What is the result when you subtract 5 from 3? here it is 3-5 =-2
What is the difference between 3 and 5? it is |3-5| = |5-3|= 2.

UNSTOPPABLE12
GMATBusters,

Hello GMATBusters, I was wondering if you could assist me on this problem, I have an issue with statment A, it says that "The difference between the length and width is 2 feet." so I assumed that it means L-W=2 but the OA claims that we cannot deduce which one is bigger L or W, however I believe that if that was the case the statement would state that the distance between L and W (or something like that) is 2 so that it would be
|L-w|=2 and then it would really ensure that we can't assume which one is bigger.
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The perimeter of a rectangular window is 28 feet. What is the length 22 Apr 2020, 08:53
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Length can be shorter than breadth.it depends on us which side we choose as length and which side as the breadth.

Width is the dimension sideways. Length is usually along the sight of our eyes.

Width can be smaller than the length or bigger than the length.

Abhi077
If in the statement one it's mentioned that L - W = 2, isn't that obvious that L is bigger than W? ( even if it were not, L has to be bigger than W for it to be a rectangle as length of a rectangle is the longest side whether it is vertical or horizontal
So L= 8 & W= 6 Hence statement one is ALSO sufficient
Bunuel please correct me if i'm wrong
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The perimeter of a rectangular window is 28 feet. What is the length 22 Apr 2020, 10:58
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It is not mentioned in the st. that whether the length or width is greater & Since the difference between length & Width should be positive so we have to use the following equation by taking the mod of the difference:-
/L-B/ = 2 i.e
Case 1 :- L-B = +2
Case 2 :- L+B = -2
Given :- Perimeter is 2(L+B) = 28

By solving above equations will get L= 6,8
W=6,8

Therefore , no unique value Hence st. is insufficient

Statement (2) is sufficient. Here, we’re given a relationship between the two
dimensions and we know which is which. If l = w +1/3w, we can solve:
l + w = 14
4/3w + w = 14

7/3w = 14
w = 14( 3/7) = 6
l = 8
Choice (B) is correct.
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