Last visit was: 21 Dec 2024, 23:55 It is currently 21 Dec 2024, 23:55

Close

GRE Prep 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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30448
Own Kudos [?]: 36808 [0]
Given Kudos: 26096
Send PM
avatar
Intern
Intern
Joined: 16 Jun 2019
Posts: 6
Own Kudos [?]: 4 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30448
Own Kudos [?]: 36808 [0]
Given Kudos: 26096
Send PM
avatar
Intern
Intern
Joined: 27 Jun 2019
Posts: 40
Own Kudos [?]: 17 [0]
Given Kudos: 0
Send PM
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.
Verbal Expert
Joined: 18 Apr 2015
Posts: 30448
Own Kudos [?]: 36808 [0]
Given Kudos: 26096
Send PM
Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Expert Reply
As square has all the sides equal.

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

Regards
avatar
Intern
Intern
Joined: 27 Jun 2019
Posts: 40
Own Kudos [?]: 17 [0]
Given Kudos: 0
Send PM
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.
Verbal Expert
Joined: 18 Apr 2015
Posts: 30448
Own Kudos [?]: 36808 [0]
Given Kudos: 26096
Send PM
Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Expert Reply
Each square is equal to another.

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

You could infer from it
avatar
Manager
Manager
Joined: 22 Aug 2019
Posts: 96
Own Kudos [?]: 85 [0]
Given Kudos: 0
Send PM
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.
Prep Club for GRE Bot
Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne