Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59229

If, in the figure above, ABCD is a rectangular region, what is the val
[#permalink]
Show Tags
26 Apr 2019, 03:04
Question Stats:
64% (01:15) correct 36% (01:24) wrong based on 387 sessions
HideShow timer Statistics
If, in the figure above, ABCD is a rectangular region, what is the value of the ratio \(\frac{area \ of \ EDA}{area \ of \ EBC}\) ? (1) AD = 4 (2) AE = 2 and EB = 4 DS34602.01 OG2020 NEW QUESTION Attachment:
20190426_1401.png [ 7.91 KiB  Viewed 3140 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



examPAL Representative
Joined: 07 Dec 2017
Posts: 1155

Re: If, in the figure above, ABCD is a rectangular region, what is the val
[#permalink]
Show Tags
26 Apr 2019, 15:02
The Logical approach to this question will start off with the understanding that since both triangles are regular triangles which share one equal leg (the width of the rectangle), all we need in order to find the ratio between their areas is to find the ratio between their other legs. Statement (1) doesn't relate to AE and EB, but statement (2) does  so the correct answer is (B). Posted from my mobile device
_________________



Intern
Joined: 24 Apr 2019
Posts: 19

Re: If, in the figure above, ABCD is a rectangular region, what is the val
[#permalink]
Show Tags
26 Apr 2019, 15:14
Bunuel wrote: If, in the figure above, ABCD is a rectangular region, what is the value of the ratio \(\frac{area \ of \ EDA}{area \ of \ EBC}\) ? (1) AD = 4 (2) AE = 2 and EB = 4 DS34602.01 OG2020 NEW QUESTION Attachment: 20190426_1401.png \(area \ of \ EDA=\frac{1}{2}*AD*AE\) \(area \ of \ EBC=\frac{1}{2}*BC*BE\) RATIO =\(\frac{1}{2}*AD*AE/\frac{1}{2}*BC*BE.\) BUT \(AD=BC\), SO RATIO IS \(\frac{AE}{BE}\). WHICH STATEMENT 2 PROVIDES. imo, OPTION b.



Manager
Joined: 14 Apr 2017
Posts: 70
Location: Hungary
WE: Education (Education)

Re: If, in the figure above, ABCD is a rectangular region, what is the val
[#permalink]
Show Tags
27 Apr 2019, 19:55
Bunuel wrote: If, in the figure above, ABCD is a rectangular region, what is the value of the ratio \(\frac{area \ of \ EDA}{area \ of \ EBC}\) ? (1) AD = 4 (2) AE = 2 and EB = 4 DS34602.01 OG2020 NEW QUESTION Let \(w\) be the width of the rectangle. The original question: \(\frac{\frac{AE\cdot w}{2}}{\frac{EB\cdot w}{2}}=\frac{AE}{EB}=?\) 1) We know that \(w=4\), but no information is given about \(AE\) or \(EB\). Thus, we can't get a unique value to answer the original question. \(\implies\) Insufficient2) We know that \(AE=2\) and \(EB=4\), so \(\frac{AE}{EB}=\frac{2}{4}=\frac{1}{2}\). Thus, the answer to the original question is a unique value. \(\implies\) SufficientAnswer: B
_________________
My book with my solutions to all 230 PS questions in OG2018:Zoltan's solutions to OG2018 PS



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15498
Location: United States (CA)

Re: If, in the figure above, ABCD is a rectangular region, what is the val
[#permalink]
Show Tags
12 May 2019, 14:13
Hi All, We're told that in the figure above, ABCD is a rectangular region. We're asked for the value of the ratio of (area of triangle EDA)/(area of triangle EBC)? This question is based on a couple of Geometry rules. It's worth noting that all 3 triangles (EDA, EBC and EDC) all have the SAME height (so the height of the triangles is actually IRRELEVENT to the question that is asked  as that number will 'cancel out' in the numerator and denominator of the fraction). Thus we ultimately need to know how the two 'bases' of EDA and EBC relate to one another to answer this question. (1) AD = 4 Fact 1 gives us the height of the triangles, but that does not impact the question at all. The calculation would be: (1/2)(Base of EDA)(4) / (1/2)(Based of EBC)(4) = ? (Base of EDA) / (Base of EBC) = ? Fact 1 is INSUFFICIENT (2) AE = 2 and EB = 4 Fact 2 gives us the exact lengths of the two 'bases'  and that's all we need to answer the question. The answer would be 2/4 = 1/2 Fact 2 is SUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



Intern
Joined: 26 Mar 2019
Posts: 3

Re: If, in the figure above, ABCD is a rectangular region, what is the val
[#permalink]
Show Tags
17 Jul 2019, 12:35
We are finding the area, so we just need 1/2 BH. They both share the same H so we just need to figure out the Base. In 1) We are given the H, no thank you GMAT (this won't help us) 2) They give us 2 bases, well if the triangles share the same height then we can just compare the bases. Suff (B)
_________________




Re: If, in the figure above, ABCD is a rectangular region, what is the val
[#permalink]
17 Jul 2019, 12:35






