BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Geometry Problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 659
Joined: Mon Dec 14, 2009 8:12 amFollowed by: 3 members
Thanked: 32 times

by Gurpinder » Sun Aug 15, 2010 7:34 pm
Hmm....can you please post the official answer. I just want to make sure before posting.
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Thu May 14, 2009 8:09 pm

by RickH » Sun Aug 15, 2010 8:15 pm
If i remeber correctly the correct answer should be 24:25.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 74
Joined: Fri Jun 25, 2010 6:33 pm
Thanked: 3 times

by vijaynaik » Sun Aug 15, 2010 8:56 pm
Lets say R has sides l , w then perimeter is 2(l+w).
l and w are in 2:3 ratio.
p(R) = 2(2x+3x);

Square S side is a. P(S) = 4a.
since P(S) = p(R)
4a = 10x ;

area of R, A(R) = 2x * 3x = 6x^2;
A(s) = a^2 = (5/2*x)^2;

A(R)/A(S) = 6x^2/ (25x^2 /4) = 24/25;

Ratio is 24:25;
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Thu May 14, 2009 8:09 pm

by RickH » Mon Aug 16, 2010 4:57 am
Great, thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Mon Aug 16, 2010 6:51 am
RickH wrote:Please help me with this problem:

The perimeter of square region S and rectangular R are equal. If the sides of R are in the ratio 2:3 what is the ratio of the area of Region R to the Region S?

Thanks!
When a problem asks for a ratio, we can plug in our own values. In this problem, we need to plug in values for the dimensions of the rectangle and for those of the square.

Rectangle:
w = 4
l = 6
p = 4+4+6+6 = 20
a = 4*6 = 24

Square:
p = 20 (same as rectangle)
s = 20/4 = 5
a = 5*5 = 25

R/S = 24/25.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Thu May 14, 2009 8:09 pm

by RickH » Mon Aug 16, 2010 6:54 am
GMATGuruNY wrote:
RickH wrote:Please help me with this problem:

The perimeter of square region S and rectangular R are equal. If the sides of R are in the ratio 2:3 what is the ratio of the area of Region R to the Region S?

Thanks!
When a problem asks for a ratio, we can plug in our own values. In this problem, we need to plug in values for the dimensions of the rectangle and for those of the square.

Rectangle:
w = 4
l = 6
p = 4+4+6+6 = 20
a = 4*6 = 24

Square:
p = 20 (same as rectangle)
s = 20/4 = 5
a = 5*5 = 25

R/S = 24/25.
That is even simpler, I actually tried that variation but with side length 2 and 3. Thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 422
Joined: Mon Aug 09, 2010 11:47 amFollowed by: 1 member
Thanked: 22 times
GMAT Score:680

by beatthegmatinsept » Mon Aug 16, 2010 2:45 pm
Good Question. I didn't plug in numbers, used variables instead. Got 24:25. Whats the source here?
Being defeated is often only a temporary condition. Giving up is what makes it permanent.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1