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

 It is currently 10 Dec 2018, 00:47

# Dec 10th is GMAT Club's BDAY :-)

Free GMAT Club Tests & Quizzes for 24 hrs to celebrate together!

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free lesson on number properties

December 10, 2018

December 10, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

# In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,

Author Message
TAGS:

### Hide Tags

Intern
Joined: 29 Sep 2015
Posts: 3
In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,  [#permalink]

### Show Tags

Updated on: 02 Oct 2018, 05:20
8
00:00

Difficulty:

75% (hard)

Question Stats:

39% (01:24) correct 61% (02:19) wrong based on 28 sessions

### HideShow timer Statistics

In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336, what is the perimeter of the triangle?

A. 58
B. 77
C. 82
D. 84
E. 92

Originally posted by arnavrayaca on 02 Oct 2018, 02:51.
Last edited by Bunuel on 02 Oct 2018, 05:20, edited 1 time in total.
Renamed the topic and edited the question.
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,  [#permalink]

### Show Tags

02 Oct 2018, 06:35
arnavrayaca wrote:
In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336, what is the perimeter of the triangle?

A. 58
B. 77
C. 82
D. 84
E. 92

Formula used:- Area of scalene triangle=$$\sqrt{s(s-a)(s-b)(s-c)}$$
Here, a=28, b=30, c=x(say)
$$s=\frac{a+b+c}{2}=29+\frac{x}{2}$$

So, $$(29+\frac{x}{2})(29-\frac{x}{2})(\frac{x}{2}+1)(\frac{x}{2}-1)=336^2$$
Or, $$\left(29^2-\frac{x^2}{4}\right)\left(\frac{x^2}{4}-1\right)=336^2$$
Solving for x, we have x=26.

Hence perimeter=26+28+30=84

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336, &nbs [#permalink] 02 Oct 2018, 06:35
Display posts from previous: Sort by