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cipher
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Rectangle Problem 14 Jan 2010, 11:16
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The figure ABCD is a rectangle with AD = 5 units and AE = EB. EF is perpendicular to DB and is half of DF. If the area of the triangle DEF is 9 sq units, what is the area of ABCD (in sq units)?
(A) 405 (B) 505 (C) 205 (D) 305 (E)255



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Rectangle Problem 14 Jan 2010, 11:24
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nitishmahajan
The figure ABCD is a rectangle with AD = 5 units and AE = EB. EF is perpendicular to DB and is half of DF. If the area of the triangle DEF is 9 sq units, what is the area of ABCD (in sq units)?
(A) 405 (B) 505 (C) 205 (D) 305 (E)255
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:roll: I am not able to draw the figure for given information. Can you please share the image for this question, if you have one.
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vladik210
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Rectangle Problem 14 Jan 2010, 11:44
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swatirpr
nitishmahajan
The figure ABCD is a rectangle with AD = 5 units and AE = EB. EF is perpendicular to DB and is half of DF. If the area of the triangle DEF is 9 sq units, what is the area of ABCD (in sq units)?
(A) 405 (B) 505 (C) 205 (D) 305 (E)255


:roll: I am not able to draw the figure for given information. Can you please share the image for this question, if you have one.
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I am thinking that it is a rectangle ABCD with a triangle EDF in it. I guess given the info you can solve the problem.
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run4run
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Rectangle Problem 14 Jan 2010, 11:51
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Ditto, I tried to draw it and I have what looks like an pentagon with a triangle on top?

Thanks
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cipher
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Rectangle Problem 14 Jan 2010, 11:54
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swatirpr
nitishmahajan
The figure ABCD is a rectangle with AD = 5 units and AE = EB. EF is perpendicular to DB and is half of DF. If the area of the triangle DEF is 9 sq units, what is the area of ABCD (in sq units)?
(A) 405 (B) 505 (C) 205 (D) 305 (E)255


:roll: I am not able to draw the figure for given information. Can you please share the image for this question, if you have one.
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There was no figure given with this question and I am not able to upload the image which I have draw. Its not accepting ODG format. :(

Anyway, there can be 3 ways of placing E ( on AB, outside the rectangle the way you guys interpreted and inside Rectangle), I use the simpler approach to place E on AB but when I try to solve the equations I end up in a trap of some stupid equations :(
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BarneyStinson
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Rectangle Problem 14 Jan 2010, 12:55
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nitishmahajan
The figure ABCD is a rectangle with AD = 5 units and AE = EB. EF is perpendicular to DB and is half of DF. If the area of the triangle DEF is 9 sq units, what is the area of ABCD (in sq units)?
(A) 405 (B) 505 (C) 205 (D) 305 (E)255
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Consider E is on line AB only. Draw diagonal DB, and a line EF perpendicular to DB, at point F on DB.

Given EF is half of DF and area of DEF = 9 sq units. From this, we can calculate DF = 6 and EF = 3. Now join DE, it'll be a common hypotenuse to AED and DEF. Thereby, we end up with AE = EB = 2*sqrt(5). AB will be 4*sqrt(5) and total area of the triangle should be 20*sqrt(5).

The options given are all wrong, each last digit 5 there should be inside a sqrt. C is the answer.



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