It is currently 18 Nov 2018, 15:34
My 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.

The area of a triangular region with perimeter 8

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4914
Followers: 74

Kudos [?]: 977 [0], given: 4499

CAT Tests
The area of a triangular region with perimeter 8 [#permalink] New post 06 Dec 2017, 02:27
Expert's post
00:00

Question Stats:

76% (02:09) correct 23% (00:48) wrong based on 13 sessions
Quantity A
Quantity B
The area of a triangular region with perimeter 8
8


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Director
Director
Joined: 20 Apr 2016
Posts: 743
Followers: 6

Kudos [?]: 500 [1] , given: 86

CAT Tests
Re: The area of a triangular region with perimeter 8 [#permalink] New post 06 Dec 2017, 07:14
1
This post received
KUDOS
Carcass wrote:
Quantity A
Quantity B
The area of a triangular region with perimeter 8
8


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

[Reveal] Spoiler: OA
OA in 24h


Here let us assume the maximum length for the triangle with perimeter 8

the maximum length of the base of the triangle can be = 4 as if greater than 4 then the triangle rule does not apply.

Now calculating the area = 1/2 * base * altitude

= 1/2 * 4 * 4 = 8 but this is not possible as altitude has to be less than 4

So option B will be always greater than option A.
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Intern
Intern
Joined: 26 Aug 2017
Posts: 31
Followers: 0

Kudos [?]: 17 [0], given: 7

Re: The area of a triangular region with perimeter 8 [#permalink] New post 06 Dec 2017, 11:05
How do you determine the maximum value of the base is 4 for the triangle rule to be valid? Like is it always p/2 and if so why?
1 KUDOS received
Director
Director
Joined: 20 Apr 2016
Posts: 743
Followers: 6

Kudos [?]: 500 [1] , given: 86

CAT Tests
Re: The area of a triangular region with perimeter 8 [#permalink] New post 07 Dec 2017, 10:51
1
This post received
KUDOS
jezzsk8 wrote:
How do you determine the maximum value of the base is 4 for the triangle rule to be valid? Like is it always p/2 and if so why?



IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .
(A-B) < third side < (A+B)

SInce the perimeter is 8, the triangle rule to satisfy if we consider integer value is 3.

Here the base is 2 and the other two sides is 3, here it satisfy the triangle equation.

Now area = 1/2 *2 * 3 (since the maximum value of altitude < 3)

=3

But the sides can also be fraction and still the sides can be add upto = 8.

So I considered the maximum value of the base to be 4 and still it is < 8.

Hence B >A .

If you are unclear let me know.
Attachments

Untitled.jpg
Untitled.jpg [ 7.83 KiB | Viewed 2773 times ]


_________________

If you found this post useful, please let me know by pressing the Kudos Button

1 KUDOS received
Intern
Intern
Joined: 15 May 2018
Posts: 39
Followers: 0

Kudos [?]: 5 [1] , given: 1

Re: The area of a triangular region with perimeter 8 [#permalink] New post 23 Jun 2018, 20:20
1
This post received
KUDOS
Carcass wrote:
Quantity A
Quantity B
The area of a triangular region with perimeter 8
8


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.



Answer is B

As the area of triangle is maximum when base and height has 90 degree angle.Now three different types of triangles are possible.
1)45-45-90
2)30-60-90
3)x-y-90

case 1= sides are ; 1x-1x-under root 2
sum=3.4x=8
x=2.35
area:1/2 *2.35*2.35 =2.76


Case 2: sides are; 1x-under root 3x-2x
sum of sides =x+under root 3x+2x= 8
4.7x=8
x=1.7
area =1/2 *1.7*2.89=2.46

similarly case 3
Re: The area of a triangular region with perimeter 8   [#permalink] 23 Jun 2018, 20:20
Display posts from previous: Sort by

The area of a triangular region with perimeter 8

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.