 It is currently 19 Sep 2019, 21:14 ### 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

#### 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  Joined: 18 Apr 2015
Posts: 8139
Followers: 157

Kudos [?]: 1710 , given: 7485

The figure above is made up of 4 squares. If a straight line [#permalink]
Expert's post 00:00

Question Stats: 71% (00:43) correct 28% (01:18) wrong based on 35 sessions
Attachment: #GRE practicequestion The figure above is made up of 4 squares.jpg [ 5.06 KiB | Viewed 864 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

_________________ Intern Joined: 16 Jun 2019
Posts: 6
Followers: 0

Kudos [?]: 3  , given: 1

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
1
KUDOS
What is the explanation to this question? is the "figure" the whole shaded region or the triangle created with AB as hypothenuse?
Founder  Joined: 18 Apr 2015
Posts: 8139
Followers: 157

Kudos [?]: 1710 , given: 7485

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Expert's post
Attachment: #GRE practicequestion The figure above is made up of 4 squares.jpg [ 7.37 KiB | Viewed 863 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
_________________
Intern Joined: 27 Jun 2019
Posts: 40
Followers: 0

Kudos [?]: 8 , given: 3

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
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  Joined: 18 Apr 2015
Posts: 8139
Followers: 157

Kudos [?]: 1710 , given: 7485

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
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
_________________
Intern Joined: 27 Jun 2019
Posts: 40
Followers: 0

Kudos [?]: 8 , given: 3

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
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  Joined: 18 Apr 2015
Posts: 8139
Followers: 157

Kudos [?]: 1710 , given: 7485

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
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
_________________
Manager Joined: 22 Aug 2019
Posts: 61
Followers: 0

Kudos [?]: 32 , given: 8

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
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 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®.