GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 27 Jun 2019, 01:35

### 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

# In the diagram below, BD = 8, AB = 6, and ED = 5. What is the ar

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 Oct 2015
Posts: 90
In the diagram below, BD = 8, AB = 6, and ED = 5. What is the ar  [#permalink]

### Show Tags

Updated on: 06 Oct 2016, 06:27
3
00:00

Difficulty:

45% (medium)

Question Stats:

74% (02:12) correct 26% (02:14) wrong based on 78 sessions

### HideShow timer Statistics

In the diagram below, BD = 8, AB = 6, and ED = 5. What is the area of ABCE?
Attachment:

rectangle_triangle.gif [ 2.54 KiB | Viewed 1384 times ]

(A) 16
(B) 18
(C) 20
(D) 22
(E) 24

Originally posted by NaeemHasan on 03 Oct 2016, 05:57.
Last edited by NaeemHasan on 06 Oct 2016, 06:27, edited 1 time in total.
Manager
Joined: 15 Apr 2016
Posts: 68
Re: In the diagram below, BD = 8, AB = 6, and ED = 5. What is the ar  [#permalink]

### Show Tags

03 Oct 2016, 06:38
Ans is 24
Steps :
Since we know AB = 6 ; BD =8 and it is right angle triangle.. we can find AD =10 ;
Given ED=5 So AE=5;(AE+ED=10)
ABD and ECD are Similar triangle as they have 30 and 90 Degree in common, with that we can find EC=3
AB=FC=6;
FC= EC+EF ; So EF=3
EF=3 Ae=5
AF=4;
Area of rectangle = AB * AF = 6*4 =24
Is this Right ?
Is there any easy way to do it ?
_________________
Cheers,
Shri
-------------------------------
GMAT is not an Exam... it is a war .. Let's Conquer !!!
Manager
Joined: 24 Aug 2016
Posts: 64
Location: India
WE: Information Technology (Computer Software)
Re: In the diagram below, BD = 8, AB = 6, and ED = 5. What is the ar  [#permalink]

### Show Tags

03 Oct 2016, 08:20
Shrivathsan wrote:
Ans is 24
Steps :
Since we know AB = 6 ; BD =8 and it is right angle triangle.. we can find AD =10 ;
Given ED=5 So AE=5;(AE+ED=10)
ABD and ECD are Similar triangle as they have 30 and 90 Degree in common, with that we can find EC=3
AB=FC=6;
FC= EC+EF ; So EF=3
EF=3 Ae=5
AF=4;
Area of rectangle = AB * AF = 6*4 =24
Is this Right ?
Is there any easy way to do it ?

Area of AEF = $$\frac{1}{2}$$ * AF * FE = $$\frac{1}{2}$$ * 4 * 3 = 6

We need to find the area of ABCE = Area of rectangle ABCF - Area of triangle AEF = 24-6 = 18.

I think answer should be B
_________________
"If we hit that bullseye, the rest of the dominos will fall like a house of cards. Checkmate."
Manager
Joined: 15 Apr 2016
Posts: 68
Re: In the diagram below, BD = 8, AB = 6, and ED = 5. What is the ar  [#permalink]

### Show Tags

03 Oct 2016, 08:47
0ld wrote:
We need to find the area of ABCE

Oops .. i read the question wrong..
Ya then answer is 18 as ABCE resembles a trapezium.
So area is 1/2 * 9 *4 =18
_________________
Cheers,
Shri
-------------------------------
GMAT is not an Exam... it is a war .. Let's Conquer !!!
Non-Human User
Joined: 09 Sep 2013
Posts: 11448
Re: In the diagram below, BD = 8, AB = 6, and ED = 5. What is the ar  [#permalink]

### Show Tags

10 Sep 2018, 14:05
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: In the diagram below, BD = 8, AB = 6, and ED = 5. What is the ar   [#permalink] 10 Sep 2018, 14:05
Display posts from previous: Sort by