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

 It is currently 23 Oct 2019, 16:22

### 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 rectangle ABCD can be divided into two equal squares, what is the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58464
If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

### Show Tags

02 Sep 2018, 21:50
00:00

Difficulty:

15% (low)

Question Stats:

95% (00:43) correct 5% (00:46) wrong based on 22 sessions

### HideShow timer Statistics

If rectangle ABCD can be divided into two equal squares, what is the area of rectangle ABCD?

(1) The side of one of the squares that can be formed is 10.
(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.

_________________
Director
Joined: 20 Feb 2015
Posts: 756
Concentration: Strategy, General Management
Re: If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

### Show Tags

03 Sep 2018, 03:00
Bunuel wrote:
If rectangle ABCD can be divided into two equal squares, what is the area of rectangle ABCD?

(1) The side of one of the squares that can be formed is 10.
(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.

(1) The side of one of the squares that can be formed is 10.
area = 2*(100) =200
sufficient

(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.
8a=80
a=10
area = 200
sufficient

D
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

### Show Tags

03 Sep 2018, 03:04
Bunuel wrote:
If rectangle ABCD can be divided into two equal squares, what is the area of rectangle ABCD?

(1) The side of one of the squares that can be formed is 10.
(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.

Given ARea of ABCD = Area of two squares
i.e. Length of ABCD = 2a if Width of rectangle = a = Side of square

Question: Area of rectangle ABCD = 2a*a = ?

Statement 1: The side of one of the squares that can be formed is 10.

i.e. a = 10 hence

SUFFICIENT

Statement 2: The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80
i.e. 2*4a = 80 i.e. a = 10

SUFFICIENT

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Re: If rectangle ABCD can be divided into two equal squares, what is the   [#permalink] 03 Sep 2018, 03:04
Display posts from previous: Sort by