What is the perimeter of the square BEDF? (1) The area of : DS Archive
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# What is the perimeter of the square BEDF? (1) The area of

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What is the perimeter of the square BEDF? (1) The area of [#permalink]

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17 Jul 2006, 23:10
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What is the perimeter of the square BEDF?

(1) The area of the shaded region is 100.
(2) / ADE = 30 degrees.
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perimeter.doc [25.5 KiB]

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18 Jul 2006, 19:11
If we can assume that A lies on the lengthening of EF then the answer is C.

Each statement alone is not sufficient - simple.

Both statements together:

The shaded area consists of two isoscele triangles BEF and BEA. Since all angles are known known (because of (1)), we can compute the areas for both triangles - we only need the angles and the length of DB to do that (using the fact that the size of the shaded area is known) => we can compute the length of DB and so on.

Last edited by game over on 18 Jul 2006, 19:11, edited 1 time in total.
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18 Jul 2006, 19:11
If we assume that the points A, E, F and C are collinear, then the answer will be C. Both conditions will give us two equations in terms of the diagonal of the square and AE. AE can be eliminated from these and knowing the diagnol of the square e can obtain the perimeter.
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18 Jul 2006, 19:40
IMO E..

We can't assume that point E is on the line AF unless we know <AED is 135.
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18 Jul 2006, 21:51
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I guess Kevincan is trying to test whether we're distracted by not-drawn-to-scale concept ..even though A, E, F and C look colinear ...that is not indicated clearly in the problem. I pick E for this one.
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19 Jul 2006, 01:00
Answer should be E. Both St1 and St2 doesn't provide useful information to solve fo the dimensions of the square.
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21 Jul 2006, 09:11
After working on this for a zillion minutes... going with E. (anything above 2 minutes is pretty much a zillion.. ??)

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21 Jul 2006, 09:18
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laxieqv wrote:
I guess Kevincan is trying to test whether we're distracted by not-drawn-to-scale concept ..even though A, E, F and C look colinear ...that is not indicated clearly in the problem. I pick E for this one.

OA: E We are not told that A E F and C are colinear!
21 Jul 2006, 09:18
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