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

 It is currently 20 Oct 2019, 22:05

### 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

# If ABCD is a rectangle, then what is the length of EC?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58442
If ABCD is a rectangle, then what is the length of EC?  [#permalink]

### Show Tags

21 Jun 2019, 00:07
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:55) correct 37% (03:05) wrong based on 27 sessions

### HideShow timer Statistics

If ABCD is a rectangle, then what is the length of EC?

(A) 7.8
(B) 8
(C) 8.4
(D) 9
(E) 9.6

Attachment:

Capture1.JPG [ 8.56 KiB | Viewed 500 times ]

_________________
SVP
Joined: 03 Jun 2019
Posts: 1736
Location: India
Re: If ABCD is a rectangle, then what is the length of EC?  [#permalink]

### Show Tags

21 Jun 2019, 00:18
1
BD = 20 since BD^2 = AB^2 + BD^2.
The area of triangle BCD = 1/2 * BD* EC = 10 * EC = 1/2 * BC * CD = 1/2 * 16* 12 = 96
=> EC = 96/10 = 9.6
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Director
Joined: 20 Jul 2017
Posts: 929
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: If ABCD is a rectangle, then what is the length of EC?  [#permalink]

### Show Tags

21 Jun 2019, 00:48
1
Bunuel wrote:

If ABCD is a rectangle, then what is the length of EC?

(A) 7.8
(B) 8
(C) 8.4
(D) 9
(E) 9.6

Attachment:
Capture1.JPG

In triangle BAD, BD^2 = 12^2 + 16^2 = 144 + 256 = 400
--> BD = 20

Triangle BAD & DEC are similar with ∠D = ∠B, ∠A = ∠E
--> 20/12 = 16/EC
--> EC = 16*12/20 = 96/10 = 9.6

IMO Option E

Pls Hit Kudos if you like the solution
Re: If ABCD is a rectangle, then what is the length of EC?   [#permalink] 21 Jun 2019, 00:48
Display posts from previous: Sort by