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

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Rhombus problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times
by karthikpandian19 » Wed Mar 21, 2012 12:36 am
Image

ABCD is a rhombus - see figure. ABE is a right triangle. AB is 10m, The ratio of the length of CE to the length of EB is 2 to 3.
What is the area of the trapezoid AECD?

(wanting for solved answer w/o choices)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Wed Mar 21, 2012 12:44 am
karthikpandian19 wrote:Image

ABCD is a rhombus - see figure. ABE is a right triangle. AB is 10m, The ratio of the length of CE to the length of EB is 2 to 3.
What is the area of the trapezoid AECD?

(wanting for solved answer w/o choices)
Area of the trapezoid AECD = (1/2) * (AD + CE) * AE
ABCD is a rhombus so all its 4 sides will be equal, so AB = CB = DC = AD = 10
CE : EB = 2 : 3
If CE = 2x, EB = 3x, then CE + EB = 5x = 10 implies x = 2
CE = 4, EB = 6
In triangle ABE, AB² = AE² + EB²
10² = AE² + 6²
AE² = 100 - 36 = 64
AE = 8

So, area of the trapezoid AECD = (1/2) * (AD + CE) * AE = (1/2) * (10 + 4) * 8 = 14 * 4 = 56 sq meters
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times

by karthikpandian19 » Wed Mar 21, 2012 12:59 am
Anurag,

I have the question here with the formula ....
Area of the trapezoid AECD = (1/2) * (AD + CE) * AE
1/2 * (Base1 + Base2) * Height

and this height implies AE ..... How is AE the height for the trapezoid AECD...Can you throw some light on it (even if i m missing somewhere?)

Anurag@Gurome wrote:
karthikpandian19 wrote:Image

ABCD is a rhombus - see figure. ABE is a right triangle. AB is 10m, The ratio of the length of CE to the length of EB is 2 to 3.
What is the area of the trapezoid AECD?

(wanting for solved answer w/o choices)
Area of the trapezoid AECD = (1/2) * (AD + CE) * AE
ABCD is a rhombus so all its 4 sides will be equal, so AB = CB = DC = AD = 10
CE : EB = 2 : 3
If CE = 2x, EB = 3x, then CE + EB = 5x = 10 implies x = 2
CE = 4, EB = 6
In triangle ABE, AB² = AE² + EB²
10² = AE² + 6²
AE² = 100 - 36 = 64
AE = 8

So, area of the trapezoid AECD = (1/2) * (AD + CE) * AE = (1/2) * (10 + 4) * 8 = 14 * 4 = 56 sq meters
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Wed Mar 21, 2012 1:13 am
karthikpandian19 wrote:Anurag,

I have the question here with the formula ....
Area of the trapezoid AECD = (1/2) * (AD + CE) * AE
1/2 * (Base1 + Base2) * Height

and this height implies AE ..... How is AE the height for the trapezoid AECD...Can you throw some light on it (even if i m missing somewhere?)
Image

Hope this figure answers your query.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times

by karthikpandian19 » Wed Mar 21, 2012 1:17 am
Got it...now thank you
Anurag@Gurome wrote:
karthikpandian19 wrote:Anurag,

I have the question here with the formula ....
Area of the trapezoid AECD = (1/2) * (AD + CE) * AE
1/2 * (Base1 + Base2) * Height

and this height implies AE ..... How is AE the height for the trapezoid AECD...Can you throw some light on it (even if i m missing somewhere?)
Image

Hope this figure answers your query.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Wed Mar 21, 2012 1:20 am
karthikpandian19 wrote:Got it...now thank you
Welcome!
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
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 » Wed Mar 21, 2012 5:04 am
Redraw the figure so that it's easier to see the relationships:
Image

Since CE:EB = 2:3 = 4:6, EB=6.
∆ABE is a 6-8-10 triangle in which AE=8.
Thus, the height of both rhombus ABCD and ∆ABE is 8.
Area of rhombus ABCD = bh = 10*8 = 80.
Area of ∆ABE = (1/2)bh = (1/2)(6)(8) = 24.
Thus, trapezoid AECD = rhombus ABCD - ∆ABE = 80-24 = 56.

Alternate method:
Area of a trapezoid = (b1 + b2)/2 * h.
Thus, the area of trapezoid AECD = (4+10)/2 * 8 = 56.
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
User avatar
Legendary Member
Posts: 626
Joined: Fri Dec 23, 2011 2:50 amFollowed by: 10 members
Location: Ahmedabad
Thanked: 31 times

by ronnie1985 » Wed Mar 21, 2012 9:16 am
BE = (3/5)*10 = 6 = > AE^2 = 100-36 =64 = > AE = 8
CE = 4 AD = 10 AE = 8 and DC = 10 Area Trapezoid = (1/2) * (AD+CE) * (AE) = (1/2)*(10+4)*8 = 56 m^2
Follow your passion, Success as perceived by others shall follow you
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1