It is currently 26 Feb 2020, 10:51
My Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

The figure above is made up of 4 squares. If a straight line

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 9739
Followers: 202

Kudos [?]: 2385 [0], given: 9227

CAT Tests
The figure above is made up of 4 squares. If a straight line [#permalink] New post 08 Oct 2018, 12:33
Expert's post
00:00

Question Stats:

73% (00:47) correct 26% (01:17) wrong based on 42 sessions
Attachment:
#GRE practicequestion The figure above is made up of 4 squares.jpg
#GRE practicequestion The figure above is made up of 4 squares.jpg [ 5.06 KiB | Viewed 1283 times ]


The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of \(8 \sqrt{2}\) units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
Intern
Intern
Joined: 16 Jun 2019
Posts: 6
Followers: 0

Kudos [?]: 3 [1] , given: 1

Re: The figure above is made up of 4 squares. If a straight line [#permalink] New post 29 Jun 2019, 14:06
1
This post received
KUDOS
What is the explanation to this question? is the "figure" the whole shaded region or the triangle created with AB as hypothenuse?
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 9739
Followers: 202

Kudos [?]: 2385 [0], given: 9227

CAT Tests
Re: The figure above is made up of 4 squares. If a straight line [#permalink] New post 01 Jul 2019, 04:47
Expert's post
Attachment:
#GRE practicequestion The figure above is made up of 4 squares.jpg
#GRE practicequestion The figure above is made up of 4 squares.jpg [ 7.37 KiB | Viewed 1281 times ]


This becomes a triangle which has the angles in the ratio of \(45:45:90\) or \(x:x:x\sqrt{2}\)

We do know this because the segment AB is \(8\sqrt{2}\)

which means that the other sides are 8

One side of a square is 4.

We want to know the perimeter of the shaded region which has 10 sides

\(4 \times 10 = 40\)

C is the answer
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Intern
Intern
Joined: 27 Jun 2019
Posts: 40
Followers: 0

Kudos [?]: 8 [0], given: 3

Re: The figure above is made up of 4 squares. If a straight line [#permalink] New post 09 Sep 2019, 09:39
Carcass wrote:
Attachment:
#GRE practicequestion The figure above is made up of 4 squares.jpg


This becomes a triangle which has the angles in the ratio of \(45:45:90\) or \(x:x:x\sqrt{2}\)

We do know this because the segment AB is \(8\sqrt{2}\)

which means that the other sides are 8

One side of a square is 4.

We want to know the perimeter of the shaded region which has 10 sides

\(4 \times 10 = 40\)

C is the answer


Aren't we supposed to be told that all the squares are equal? By assuming that they are equal, we might be missing a case when they aren't.
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 9739
Followers: 202

Kudos [?]: 2385 [0], given: 9227

CAT Tests
Re: The figure above is made up of 4 squares. If a straight line [#permalink] New post 09 Sep 2019, 10:26
Expert's post
As square has all the sides equal.

Otherwise must be specified. In this case, we fairly might assume they are equal.

Regards
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Intern
Intern
Joined: 27 Jun 2019
Posts: 40
Followers: 0

Kudos [?]: 8 [0], given: 3

Re: The figure above is made up of 4 squares. If a straight line [#permalink] New post 09 Sep 2019, 10:27
Carcass wrote:
As square has all the sides equal.

Otherwise must be specified. In this case, we fairly might assume they are equal.

Regards


The problem says "The figure above is made up of 4 squares." . We know that each of those four figures is a square, but we are not told that they are all equal.
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 9739
Followers: 202

Kudos [?]: 2385 [0], given: 9227

CAT Tests
Re: The figure above is made up of 4 squares. If a straight line [#permalink] New post 09 Sep 2019, 10:34
Expert's post
Each square is equal to another.

See also my explanation above https://greprepclub.com/forum/the-figur ... tml#p35374

You could infer from it
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Manager
Manager
Joined: 22 Aug 2019
Posts: 63
Followers: 1

Kudos [?]: 39 [0], given: 11

Re: The figure above is made up of 4 squares. If a straight line [#permalink] New post 12 Sep 2019, 21:29
Carcass wrote:
Attachment:
#GRE practicequestion The figure above is made up of 4 squares.jpg


The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of \(8 \sqrt{2}\) units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80


across one square the distance would be \(4\sqrt{2}\)

\(4\sqrt{2} = \sqrt{2a^2}\)
16*2 = 32 = 2a^2
16 = a^2
a = 4

Then count edges. 10

4*10 = 40

Perhaps a faster way of doing the math would be putting 4 under the radical to get \sqrt{32} and recognizing that 16*2 so the length must be 4 for each side.
Re: The figure above is made up of 4 squares. If a straight line   [#permalink] 12 Sep 2019, 21:29
Display posts from previous: Sort by

The figure above is made up of 4 squares. If a straight line

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.