Eight square window panes of equal size are to be pieced : DS Archive
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# Eight square window panes of equal size are to be pieced

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Manager
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Eight square window panes of equal size are to be pieced [#permalink]

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07 Nov 2009, 17:09
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Eight square window panes of equal
size are to be pieced together to form a
rectangular French door. What is the
perimeter of the door, excluding framing
between and around the panes?
(1) The area of each pane is 1 square
foot.
(2) The area of the door, excluding
framing between and around the
panes, is 8 square feet.

Senior Manager
Joined: 31 Aug 2009
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Re: DS Problem from Peterson 2010 [#permalink]

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07 Nov 2009, 17:53
ezinis wrote:
Eight square window panes of equal
size are to be pieced together to form a
rectangular French door. What is the
perimeter of the door, excluding framing
between and around the panes?
(1) The area of each pane is 1 square
foot.
(2) The area of the door, excluding
framing between and around the
panes, is 8 square feet.

I believe the answer is B.
From the question stem we know that there are 8 square panels that are organised into a rectangle. There are only two possible arrangements: 8x1 or 4x2. We need to know two things in order to have sufficiency: the length or area or perimeter of any square panel and the arrangement.
Statement 1) Tells us the length of a square panel but we dont know the arrangement.
Statement 2) This tells us the arrangement as well as the side length. Hence B is sufficient.
Manager
Joined: 27 Oct 2009
Posts: 149
Location: Montreal
Schools: Harvard, Yale, HEC
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Kudos [?]: 78 [0], given: 18

Re: DS Problem from Peterson 2010 [#permalink]

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07 Nov 2009, 18:31
Official Key: The correct answer is (E). You could piece together the panes into either a single
column (or row) of 8 panes or into 2 adjacent columns (or rows) of 4 panes each. In the
first case, the door’s perimeter would be 18. In the second case, the door’s perimeter
would be 12. Thus, statement (1) alone is insufficient to answer the question. Statement
(2) alone is insufficient for the same reason. Both statements together still fail to
provide sufficient information to determine the shape (or perimeter) of the door

Am I wrong or this Peterson's key is wrong?
Manager
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Re: DS Problem from Peterson 2010 [#permalink]

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09 Nov 2009, 22:29
I think it's right.
Stmt1 only tells us that the squares have side 1. No info on the arrangement (4x2 vs. 8x1)
Stmt 2 by telling us that the door has area 8 sq.ft just tell us that that the squares have side 1 again.
(because area of door = total area of eight squares)

Combining both, we still don't know the arrangement. So it should be E.
Manager
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Re: DS Problem from Peterson 2010 [#permalink]

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15 Nov 2009, 08:32
Even after combining the details area of square and rectangle we will not be able to get a unique soln.
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Re: DS Problem from Peterson 2010 [#permalink]

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15 Nov 2009, 17:10
ezinis wrote:
Official Key: The correct answer is (E). You could piece together the panes into either a single
column (or row) of 8 panes or into 2 adjacent columns (or rows) of 4 panes each. In the
first case, the door’s perimeter would be 18. In the second case, the door’s perimeter
would be 12. Thus, statement (1) alone is insufficient to answer the question. Statement
(2) alone is insufficient for the same reason. Both statements together still fail to
provide sufficient information to determine the shape (or perimeter) of the door

Am I wrong or this Peterson's key is wrong?

Both 1 and 2 say the same thing

they can be 4x2 or 8x1 same areas but different perimeters

we may know the answer or we may not...perhaps this is where you are getting stuck?

you are saying C proves that we can't answer the question not that C answers the question. is that correct?

however, we may be able to answer the question, we just don't have enough information
Re: DS Problem from Peterson 2010   [#permalink] 15 Nov 2009, 17:10
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