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

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The perimeter of a rectangular window is 28 feet. What is the length  [#permalink]

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New post 04 Apr 2019, 23:59
1
2
00:00
A
B
C
D
E

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Question Stats:

31% (01:28) correct 69% (01:02) wrong based on 52 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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Re: The perimeter of a rectangular window is 28 feet. What is the length  [#permalink]

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New post 05 Apr 2019, 00:10
1
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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Re: The perimeter of a rectangular window is 28 feet. What is the length  [#permalink]

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New post 05 Apr 2019, 00:20
sarat0994 could you please provide a solution or check if the OA is correct?

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Re: The perimeter of a rectangular window is 28 feet. What is the length  [#permalink]

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New post 05 Apr 2019, 00:28
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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Re: The perimeter of a rectangular window is 28 feet. What is the length  [#permalink]

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New post 05 Apr 2019, 00:59
1
sarat0994 wrote:
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.


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.

Hit kudos if you like my post.

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The perimeter of a rectangular window is 28 feet. What is the length  [#permalink]

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New post 05 Apr 2019, 07:18
1
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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Re: The perimeter of a rectangular window is 28 feet. What is the length  [#permalink]

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New post 09 Apr 2019, 02:55
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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Re: The perimeter of a rectangular window is 28 feet. What is the length   [#permalink] 09 Apr 2019, 02:55
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