Find all School-related info fast with the new School-Specific MBA Forum

It is currently 31 May 2016, 23:16
GMAT Club Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If the perimeter of a rectangular property is 46 meters, and the area

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 10 Jul 2010
Posts: 11
Followers: 0

Kudos [?]: 2 [1] , given: 0

If the perimeter of a rectangular property is 46 meters, and the area [#permalink]

Show Tags

New post 10 Jul 2010, 16:27
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (02:30) correct 9% (01:57) wrong based on 111 sessions

HideShow timer Statistics

If the perimeter of a rectangular property is 46 meters, and the area of the property is 76 square meters, what is the length of each of the shorter sides?

A. 4
B. 6
C. 9
D. 18
E. 23
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Oct 2014, 06:48, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Expert Post
Founder
Founder
User avatar
Affiliations: AS - Gold, HH-Diamond
Joined: 04 Dec 2002
Posts: 13773
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
Followers: 3291

Kudos [?]: 18985 [0], given: 4239

GMAT ToolKit User Premium Member CAT Tests
Re: If the perimeter of a rectangular property is 46 meters, and the area [#permalink]

Show Tags

New post 10 Jul 2010, 16:36
Expert's post
1
This post was
BOOKMARKED
Welcome to GMAT Club!

The best way to solve this would be to backsolve - use the answer choices, so it is quite unfortunate that you did not provide them - that's the fastest way really.

Without answer choices, You would need to build an equation for Area and one for Perimeter such as:

A+ B+A+B = Perimeter
A*B = Area

So, A+B+A+B = 46
A*B = 76

Here we can do something like this:
2A+2B = 46 or A + B = 23 and thus A = 23-B

Plug that into the other equation: (23 - B)*B = 76 or 23B - \(B^2\) = 76
You have a quadratic equation to solve at this point:
\(-B^2 + 23B - 76 = 0\)

If you had answer choices, you could plug them in and see which ones worked but we can solve it as well (just picking numbers, looks like 4 works from positive roots).

So, the answers are: B = 4 and A = 19
_________________

Founder of GMAT Club

US News 2008 - 2017 Rankings progression - New!
Just starting out with GMAT? Start here...
Need GMAT Book Recommendations? Best GMAT Books

Co-author of the GMAT Club tests

GMAT Club Premium Membership - big benefits and savings

1 KUDOS received
Kaplan GMAT Instructor
User avatar
Joined: 21 Jun 2010
Posts: 75
Location: Toronto
Followers: 25

Kudos [?]: 140 [1] , given: 2

Re: If the perimeter of a rectangular property is 46 meters, and the area [#permalink]

Show Tags

New post 11 Jul 2010, 00:32
1
This post received
KUDOS
bb's certainly right that we could have solved quicker using backsolving. If you had provided the answer choices, we could have also showed you how to use reasoning to quickly eliminate some of the choices.

Notice that the area is 76. The area is the product of the length and width. That is, the area is a multiple of each of the sides. So, each side is a factor of the area. So, the correct answer will be a factor of 76. You can quickly eliminate any choices that are not factors of 76.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9731
Followers: 466

Kudos [?]: 120 [0], given: 0

Premium Member
Re: If the perimeter of a rectangular property is 46 meters, and the area [#permalink]

Show Tags

New post 24 Oct 2014, 18:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9731
Followers: 466

Kudos [?]: 120 [0], given: 0

Premium Member
Re: If the perimeter of a rectangular property is 46 meters, and the area [#permalink]

Show Tags

New post 02 Dec 2015, 12:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
2 KUDOS received
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 6450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 272

Kudos [?]: 1908 [2] , given: 161

Re: If the perimeter of a rectangular property is 46 meters, and the area [#permalink]

Show Tags

New post 02 Dec 2015, 20:02
2
This post received
KUDOS
Expert's post
Hi All,

While this question can be solved Algebraically, TESTing THE ANSWERS will work really quickly here.

We're told that the Perimeter of a rectangle = 46 and its Area = 76. We're asked for the length of the SHORTER side.

Since the area = 76, and (9)(9) = 81, the shorter side MUST be less than 9. This leaves us with Answers A and B. Since both the perimeter and area are integers, it is HIGHLY likely that both dimensions of the rectangle are also integers, so we should figure out what happens when we divide 76 by 6 and 76 by 4. Which of those options gives us an INTEGER?

76/6 = 12 2/3 which is NOT an integer.
76/4 = 19

If the sides were 4 and 19, then the perimeter would be 2(4) + 2(19) = 46. This is an exact MATCH for what we were told, so this MUST be the answer.

Final Answer:
[Reveal] Spoiler:
A


GMAT assassins aren't born, they're made,
Rich
_________________

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: If the perimeter of a rectangular property is 46 meters, and the area   [#permalink] 02 Dec 2015, 20:02
    Similar topics Author Replies Last post
Similar
Topics:
What is the perimeter, in meters, of a rectangular garden 6 meters.... nalinnair 1 26 May 2016, 21:27
Experts publish their posts in the topic What is the total surface area in square meters of a rectangular solid Bunuel 1 10 Jan 2016, 08:36
3 Experts publish their posts in the topic A rectangular floor that measures 8 meters by 10 meters is to be cover Bunuel 8 14 Oct 2015, 21:19
3 Experts publish their posts in the topic The length and width of a rectangular yard are 11 meters and 5 meters Bunuel 8 20 Mar 2015, 07:23
1 What is the area of a square with perimeter P ? bmwhype2 2 01 Jun 2007, 21:13
Display posts from previous: Sort by

If the perimeter of a rectangular property is 46 meters, and the area

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.