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

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23 Feb 2007, 10:21
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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.

a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

c. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient.

d. EACH statement ALONE is sufficient to answer the question asked.

e. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed
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Re: DS Question - Please solve it [#permalink]

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23 Feb 2007, 11:37
Let each side be a.

From (1) we can say

Area rect = 8 * area of sqaures

m * n = 8. m and n can be 1,8 or 2,4

From (2) we get same equation

m * n = 8

So we cannot find the solution. E.
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23 Feb 2007, 13:23
perhaps I do not understand. If we are looking for the length of each side of the square. If the are is 1 ft squared, does this not mean that each side is 1 ft in length...which means we can figure out the perimeter? I think it is D.
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23 Feb 2007, 15:08
We can find the dimensions of each square. But, we can form a rectangle out of 8 squares two ways. 1 square by 8 squares having a perimeter equal to 1x+1x+8x+8x where x is the length of one side of the square. Or we could have 2 squares by 4 squares having a perimeter of 2x+2x+4x+4x.

In scenario 1 the perimeter is 18x. In scenario 2 the perimeter is 12x. Neither statement is sufficient.

defenestrate wrote:
perhaps I do not understand. If we are looking for the length of each side of the square. If the are is 1 ft squared, does this not mean that each side is 1 ft in length...which means we can figure out the perimeter? I think it is D.
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24 Feb 2007, 10:34
I say E as well

the 2 statements are telling you the same information

Statement 1 is telling you that the area of the squares are 8 ( 8 squares times 1 for area) but tells nothing about framing

Statement 2 tells you area of door is 8 , EXCLUDING framing which tells you the area of the squares, which we know in A anyway. Same info.
24 Feb 2007, 10:34
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# Eight square window panes of equal size are to be pieced

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