Events & Promotions
| Last visit was: 06 Sep 2026, 02:13 |
It is currently 06 Sep 2026, 02:13 |
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 0609:30 AM EDT
-12:30 PM EST
Top scores are possible when you enroll in a powerful EA course, taught live online + 6 months access to TTP OnDemand video courses included! Perfect class schedule and easy course access for working professionals. Class starts Sundays Sept. 6, 2026.
Sep 0712:01 AM PDT
-11:59 PM PDT
On the 7th, GMAT Club Tests will be Free! Including all the Quizzes, Questions, and Tests. 12 AM - 11:59 PM PDT
Sep 0201:00 PM EDT
-11:59 PM EDT
Take 30% off all study plans with code COURSEWORK - Expires on Monday 9/7
Sep 0410:00 AM EDT
-11:59 PM EDT
We’ve worked incredibly hard to build TTP into the best test prep experience possible, and it would mean a lot to us to win Newsweek’s 2026 Readers’ Choice Award for Best Test Prep. If TTP has helped you, we’d be incredibly grateful for your vote.- Sep 07
10:00 AM PDT
-11:00 AM PDT
A complete walkthrough of GMAT Club’s free 12-week GMAT study plan: what you study each week, how progress and goals are tracked, how the error log works, and how your practice unlocks paid tools at no cost. - Sep 09
07:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway - Sep 09
10:00 AM PDT
-11:00 AM PDT
Three MBA applications. Three rejections. No interview invites. A year later, Aman was admitted to Cambridge Judge, SMU, and IMD. In this episode of MBA Admit Stories, Aman shares how he rebuilt his MBA application... 
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2108:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
07 May 2019, 21:52
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
31% (03:05) correct
69%
(03:02)
wrong
based on 29
sessions
History
Date
Time
Result
Not Attempted Yet
BCDF is a rectangle. Triangle ABE has an area of 2\(cm^2\) . Triangle BEF has an area of \(3cm^2\). Find the area of the blue region.
A. 4
B. 4.5
C. 5
D. 5.5
E. 6
A. 4
B. 4.5
C. 5
D. 5.5
E. 6
Attachments
image 1.png [ 17.41 KiB | Viewed 8393 times ]
08 May 2019, 11:36
Kudos
Bookmarks
Area of Blue portion + Area of green portion = Area of Grey portion + Area of yellow portion = Half the area of rectangle
We know the area of green portion and yellow portion. Now, if we able to find the area of Grey portion, we can easily find the area of Blue portion.
Triangle ABE is similar to the triangle to FDE
Angle BAE= Angle DFE and angle ABE = angle EDF {alternate interior angles}
Hence, \(\frac{Area ABE}{Area of FDE}\) = \(\frac{AE^2}{EF^2}\)......(1)
Also, Triangle ABE and Triangle BEF has same base AE and EF respectively
Hence \(\frac{Area ABE}{Area BEF}\)= \(\frac{AE}{EF}\)
\(\frac{2}{3}\)=\(\frac{AE}{EF}\)
Put value of AE/EF in equation (1)
We get, \(\frac{Area ABE}{Area of FDE}\)= \(\frac{4}{9}\)
\(\frac{2}{Area of FDE}\) = \(\frac{4}{9}\)
Area of FDE= 4.5 { area of grey portion}
Area of Blue portion + Area of green portion = Area of Grey portion + Area of yellow portion
Area of Blue portion= 4.5+3-2=5.5
We know the area of green portion and yellow portion. Now, if we able to find the area of Grey portion, we can easily find the area of Blue portion.
Triangle ABE is similar to the triangle to FDE
Angle BAE= Angle DFE and angle ABE = angle EDF {alternate interior angles}
Hence, \(\frac{Area ABE}{Area of FDE}\) = \(\frac{AE^2}{EF^2}\)......(1)
Also, Triangle ABE and Triangle BEF has same base AE and EF respectively
Hence \(\frac{Area ABE}{Area BEF}\)= \(\frac{AE}{EF}\)
\(\frac{2}{3}\)=\(\frac{AE}{EF}\)
Put value of AE/EF in equation (1)
We get, \(\frac{Area ABE}{Area of FDE}\)= \(\frac{4}{9}\)
\(\frac{2}{Area of FDE}\) = \(\frac{4}{9}\)
Area of FDE= 4.5 { area of grey portion}
Area of Blue portion + Area of green portion = Area of Grey portion + Area of yellow portion
Area of Blue portion= 4.5+3-2=5.5
nick1816
23 May 2019, 09:45
Kudos
Bookmarks
nick1816
Hi nick1816,
Thank you for your question and Soln. but the below part is not clear to me, can you help? Which same base are you talking about?Thanks.
nick1816
23 May 2019, 11:07
Kudos
Bookmarks
Draw a perpendicular from BN on line AF
Area of BAE= 1/2 * AE * BN
Area of BEF= 1/2 * EF * BN
Area of BAE/ Area of BEF= (1/2 * AE * BN) / (1/2 * EF * BN)= AE/EF
Area of BAE= 1/2 * AE * BN
Area of BEF= 1/2 * EF * BN
Area of BAE/ Area of BEF= (1/2 * AE * BN) / (1/2 * EF * BN)= AE/EF
Attachments
2.png [ 7.31 KiB | Viewed 7384 times ]
