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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # If the length of a certain rectangle is 2 greater than the  post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message Manager Joined: 14 May 2008 Posts: 59 If the length of a certain rectangle is 2 greater than the [#permalink] ### Show Tags 18 Jun 2008, 07:48 00:00 Difficulty: (N/A) Question Stats: 100% (00:02) correct 0% (00:00) wrong based on 33 sessions ### HideShow timer Statistics If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle? (1) The length of each diagonal of the rectangle is 10. (2) The area of the rectangular region is 48. --== Message from the GMAT Club Team ==-- THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION. This discussion does not meet community quality standards. It has been retired. If you would like to discuss this question please re-post it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you. Director Joined: 23 Sep 2007 Posts: 747 Re: DS rectangle [#permalink] ### Show Tags 18 Jun 2008, 08:07 1 D statement 1: it is a 3-4-5 triangle statement 2: 6 * 8 = 48 Manager Joined: 14 May 2008 Posts: 59 Re: DS rectangle [#permalink] ### Show Tags 18 Jun 2008, 08:17 Yes It is D! But Can you explain please How did you quickly recognize that it is 3 4 5 triangle with sides multiplied by 2? I picked B at first... SVP Joined: 30 Apr 2008 Posts: 1832 Location: Oklahoma City Schools: Hard Knocks Re: DS rectangle [#permalink] ### Show Tags Updated on: 18 Jun 2008, 09:26 1 I realized it was a 6-8-10 triangle because, first the hypotnuse given is 10, and we know that the height is 2 more than the base, so 6 (base) and 8 (height) fit perfectly. The GMAT doesn't want to give us impossible questions to answer. The authors are as aware fo the time constraints as we are (well, maybe not quite as aware!). Take the time to learn those $$3-4-5, 1-1-sqrt{2}, 1-sqrt{3}-2$$ triangles because so often, the triangles on the exam will fit perfectly into one of these. It's not the knowledge of the triangles the GMAT really tests, its recognizing the significance of the data presented to you. Also, realize that an equilateral trianle is made up of 2, 30-60-90 triangles. My percentages may be off a bit, but I would say geometry is 90% recognizing relationships and 10% doing the actual math! quantum wrote: Yes It is D! But Can you explain please How did you quickly recognize that it is 3 4 5 triangle with sides multiplied by 2? I picked B at first... _________________ ------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$\$.

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Originally posted by jallenmorris on 18 Jun 2008, 08:38.
Last edited by jallenmorris on 18 Jun 2008, 09:26, edited 2 times in total.
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Joined: 11 Apr 2008
Posts: 128
Location: Chicago

### Show Tags

Updated on: 18 Jun 2008, 10:25
3
quantum wrote:
If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the
perimeter of the rectangle?
(1) The length of each diagonal of the rectangle is 10.
(2) The area of the rectangular region is 48.

First, define the variables:
Width =w
Length = w+2

So therefore the question is asking “what is 4w+4” or simply put, “what is w?”

(1) if the diagonal is 10, this is the hypotenuse of one of the two triangles that make the rectangle. Using the Pythagorean theorem, we can say (w+2)^2 + w^2 = 100^2
--> 2w^2 + 4w +4 = 100
--> w^2 + 2w -48 = 0
--> therefore w = -8 or 6 (can’t be a negative number so w =6 and w+2 =8) --> SUFFICIENT

(2) This states that (w+2)*w = 48 --> (L*W=area)
--> w^2 + 2w -48 = 0 (this is the same equation we get in statement (1) therefore SUFFICIENT)

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Factorials were someone's attempt to make math look exciting!!!

Originally posted by brokerbevo on 18 Jun 2008, 09:15.
Last edited by brokerbevo on 18 Jun 2008, 10:25, edited 1 time in total.
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Joined: 14 May 2008
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18 Jun 2008, 09:22
brokerbevo

Kudo to you friend!
Thank You!
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18 Jun 2008, 09:43
what do you guys think about logic of one equeation one variable...

http://www.drgmat.com/forums/viewtopic.php?f=9&t=52&p=99#p99

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Re: If the length of a certain rectangle is 2 greater than the  [#permalink]

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15 Sep 2018, 13:39
Hello from the GMAT Club BumpBot!

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Re: If the length of a certain rectangle is 2 greater than the &nbs [#permalink] 15 Sep 2018, 13:39
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