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 →

IGCH in terms of x

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Wed Sep 15, 2010 8:27 pm
If square ABCD has area x^2 and line segment AE has length 4, and line segment AF has length 3, then what is the area of IGCH in terms of x?
(A) 4 x + 12
(B) 7 x - 12
(C) x^2 - 24
(D) x^2 - 3 x + 12
(E) x^2 - 7 x + 12

[spoiler]Source: https://readyforgmat.com[/spoiler]
Attachments
IGCH.JPG
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 520
Joined: Mon Jun 14, 2010 10:44 amFollowed by: 6 members
Thanked: 70 times

by niksworth » Thu Sep 16, 2010 6:35 am
This question requires an assumption that EG || AB and FH || AD, which is not stated explicitly in the question.

Now,
Area of ABCD = x^2 = x*x
Since ABCD is a square, side of the square has to be x.

AE = 4 => ED = x-4
AF = 3 => FB = x-3

Using parallelism,
IH = x-4
IG = x-3

Therefore,
Area of IGCH = (x-4)(x-3) = x^2 - 7x + 12.

Thus, E.
scio me nihil scire
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Thu Sep 16, 2010 8:07 pm
niksworth wrote:This question requires an assumption that EG || AB and FH || AD, which is not stated explicitly in the question.

Now,
Area of ABCD = x^2 = x*x
Since ABCD is a square, side of the square has to be x.

AE = 4 => ED = x-4
AF = 3 => FB = x-3

Using parallelism,
IH = x-4
IG = x-3

Therefore,
Area of IGCH = (x-4)(x-3) = x^2 - 7x + 12.

Thus, E.
You are utterly correct, with nothing edifying given in the attachment, the stem must read like following

If square ABCD has area x^2 and line segment AE has length 4, and line segment AF has length 3, then what is the area of IGCH in terms of x? (All corners are at right angle in the attached figure below)
(A) 4 x + 12
(B) 7 x - 12
(C) x^2 - 24
(D) x^2 - 3 x + 12
(E) x^2 - 7 x + 12
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 866
Joined: Mon Aug 02, 2010 6:46 pm
Location: Gwalior, India
Thanked: 31 times

by goyalsau » Fri Sep 17, 2010 12:10 am
One more E.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 84
Joined: Mon Apr 26, 2010 2:51 amFollowed by: 1 member
Thanked: 6 times

by brijesh » Sun Sep 19, 2010 7:51 am
sanju09 wrote:If square ABCD has area x^2 and line segment AE has length 4, and line segment AF has length 3, then what is the area of IGCH in terms of x?
(A) 4 x + 12
(B) 7 x - 12
(C) x^2 - 24
(D) x^2 - 3 x + 12
(E) x^2 - 7 x + 12

[spoiler]Source: https://readyforgmat.com[/spoiler]
Its E
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1