Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 15:11

### 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

# If the altitude of a triangle increases by 6%

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

### Hide Tags

Retired Moderator
Joined: 22 Jun 2014
Posts: 1102
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

10 Mar 2017, 23:07
2
4
00:00

Difficulty:

35% (medium)

Question Stats:

75% (02:02) correct 25% (02:13) wrong based on 109 sessions

### HideShow timer Statistics

If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

_________________
Senior Manager
Joined: 19 Apr 2016
Posts: 271
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

10 Mar 2017, 23:15
3
HKD1710 wrote:
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

b --- base
h----- height
original area =bh/2

altitude of a triangle increases by 6% and the base of the triangle increases by 8%
b1 ---- new base
h1 ---- new height

new area = (b1*h1)/2 = (b*1.08*h*1.06)/2 = (bh/2)*(1.06*1.08) = original area * 1.1448

therefore the area of the triangle increases by 14.48 %

Hence option D is correct
Hit Kudos if you liked it
Intern
Joined: 22 Dec 2013
Posts: 8
Location: United States
Schools: Wharton '20
Re: If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

10 Mar 2017, 23:20
1
HKD1710 wrote:
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

Let's assume base 100 and height 100
So, area will be 0.5 * 100 * 100 ---(1)

Now with 6% increase in height and 8 % in base
New area 0.5* (100+6)*(100+8)=(100*100+100*8+100*6+6*8) ---(2)

percentage increase = (2)-(1)/(1) *100 = (100*8+100*6+6*8) *100 /(100*100) =14.48%

In general if the is x% increase in a and y % increase in b then overall % increase in ab will be (x+y+(xy)/100)

Kudos please if you find useful
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

11 Mar 2017, 01:16
2
HKD1710 wrote:
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

Percentage increase in the area of the triangle will be -

= $$6 + 8 + \frac{(6*8)}{100}$$

= $$14 + 0.48$$

= $$14.48$$

Thus, answer must be (D) 14.48 %
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Intern
Joined: 28 Apr 2017
Posts: 38
Re: If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

04 May 2017, 02:18
Abhishek009 wrote:
HKD1710 wrote:
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

Percentage increase in the area of the triangle will be -

= $$6 + 8 + \frac{(6*8)}{100}$$

= $$14 + 0.48$$

= $$14.48$$

Thus, answer must be (D) 14.48 %

Can you explain how do we arrive at 6+8+fraction.. ..the concept
VP
Joined: 07 Dec 2014
Posts: 1208
If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

04 May 2017, 13:11
HKD1710 wrote:
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

base triangle area=.5*1*1=.5
enlarged triangle area=.5*1.06*1.08=.5724
.5724/.5=1.1448=14.48% increase
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6967
Location: United States (CA)
Re: If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

06 May 2017, 18:03
3
1
HKD1710 wrote:
If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

We can let the original base = b and the original altitude = a, and thus the original area is ab/2.

The new altitude is 1.06a and the new base is 1.08b, so the new area is 1.1448ab/2. The new area is 1.1448, or equivalently, 114.48% times the old area. Therefore, the area increased 114.48 - 100 = 14.48%.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 11720
Re: If the altitude of a triangle increases by 6%  [#permalink]

### Show Tags

12 Aug 2018, 09:23
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.
_________________
Re: If the altitude of a triangle increases by 6%   [#permalink] 12 Aug 2018, 09:23
Display posts from previous: Sort by

# If the altitude of a triangle increases by 6%

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

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