GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Jan 2019, 05:56

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
  • Free GMAT Number Properties Webinar

     January 27, 2019

     January 27, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

What is the perimeter of the triangle shown? (1) The area of the tria

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52430
What is the perimeter of the triangle shown? (1) The area of the tria  [#permalink]

Show Tags

New post 13 Apr 2018, 00:31
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

59% (01:36) correct 41% (01:25) wrong based on 52 sessions

HideShow timer Statistics

Image
What is the perimeter of the triangle shown?

(1) The area of the triangle is 96 in^2.
(2) y = x + 4


Attachment:
2018-04-13_1227.png
2018-04-13_1227.png [ 5.79 KiB | Viewed 563 times ]

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

BSchool Forum Moderator
User avatar
P
Joined: 07 Jan 2016
Posts: 874
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: What is the perimeter of the triangle shown? (1) The area of the tria  [#permalink]

Show Tags

New post 13 Apr 2018, 02:21
1
Bunuel wrote:
Image
What is the perimeter of the triangle shown?

(1) The area of the triangle is 96 in^2.
(2) y = x + 4


Attachment:
2018-04-13_1227.png



1) 1/2xy= 96

xy =192

x^2 + y^2 = 20^2 = 400

(x+y)^2 = x^2+y^2 + 2xy = 400 + 2x192 = 784

(x+y)^2 = 28^2

x+y = 28
xy = 192
using trial and error x=12/16 y=16/12

perimeter can be found

2) y=x+4

X^2 + (x+4)^2 = 20^2

2x^ + 16 + 8x = 400

2x^2 + 8x - 384 = 0

x^2 + 4x - 192 = 0

x^2 + 16 x - 12 x - 192 = 0

X= 12
y = 16

(D) imo
Senior Manager
Senior Manager
User avatar
D
Joined: 22 Feb 2018
Posts: 416
CAT Tests
Re: What is the perimeter of the triangle shown? (1) The area of the tria  [#permalink]

Show Tags

New post 13 Apr 2018, 04:27
Bunuel wrote:
Image
What is the perimeter of the triangle shown?

(1) The area of the triangle is 96 in^2.
(2) y = x + 4


Attachment:
2018-04-13_1227.png


Given in question
\(x^2+y^2=(20)^2\)
Question ask us to find parameter P,
\(P= 20+x+y\).
Either finding value of (x+y) or both x and y individually will suffice.

Statement 1 :The area of the triangle is 96 in^2.
Area =\(\frac{x*y}{2}\)
It gives\(xy= 192\).

Now using \((x+y)^2=x^2+y^2+2xy\),\(x^2+y^2=(20)^2\) and xy= 192, we can get
\((x+y)^2\)=784
Rejecting -ve value, we get \((x+y)=28\)
Perimeter can be calculated.
So Statement 1 alone is sufficient

Statement 2 :y = x + 4
Using \(x^2+y^2=(20)^2\) and y = x + 4, we get
\(x^2+(x+4)^2=(20)^2\)
\(x^2+4x-192=0\)
\(x\)= \(\frac{-4±\sqrt{4^2-4*1*(-192)}}{2*1}\)
\(x=12\) (Rejecting -ve value of x i.e -16)
Using y = x + 4, we get \(y =16\)
As we know value of x and y individually , Value of perimeter can be easily calculated.
So Statement 2 alone is Sufficient.

As Both Statement are alone sufficient , Answer is D
_________________

Good, good Let the kudos flow through you

Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1199
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: What is the perimeter of the triangle shown? (1) The area of the tria  [#permalink]

Show Tags

New post 13 Apr 2018, 05:21
1
Director
Director
avatar
P
Joined: 02 Oct 2017
Posts: 735
Re: What is the perimeter of the triangle shown? (1) The area of the tria  [#permalink]

Show Tags

New post 27 Apr 2018, 21:57
I)area of ∆ =96
x*y/2=96
x*y=2^6*3

There can be number of values which x and y can take but only values 16 and 12 will square up to give 400
So sufficient

II)x^2 +(x+4)^2=400
Solving equation we get unique value of x as 12 and y as 16 so
Sufficient

Ans D

Posted from my mobile device
_________________

Give kudos if you like the post

Manager
Manager
avatar
B
Joined: 05 Jan 2014
Posts: 71
Location: India
GMAT 1: 610 Q47 V26
GPA: 3.76
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge CAT Tests
Re: What is the perimeter of the triangle shown? (1) The area of the tria  [#permalink]

Show Tags

New post 27 Apr 2018, 22:15
1
I guess there is no need to solve any equation.
To find out the perimeter, we need to find the values of 'x' and 'y'. To solve this, we need to have 2 equations (to calculate values of 'n' number of variables, we need 'n' equations).
We can deduce 1 equation from figure itself i.e. x^2 + y^2 = 400 (From pythagoras theorem) and we need to deduce 2nd one now.

(a) Area of triangle is 96.
Hence, (1/2)*x*y = 96. (2nd equation)
(b) y = x + 4 (2nd equation)

So, we can get an equation from either of these options, leading us to mark answer 'D'
GMAT Club Bot
Re: What is the perimeter of the triangle shown? (1) The area of the tria &nbs [#permalink] 27 Apr 2018, 22:15
Display posts from previous: Sort by

What is the perimeter of the triangle shown? (1) The area of the tria

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


cron
Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.