Last visit was: 02 Sep 2026, 12:25 It is currently 02 Sep 2026, 12:25
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 02 Sep 2026
Posts: 113,060
Own Kudos:
838,683
 [42]
Given Kudos: 111,271
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,060
Kudos: 838,683
 [42]
A square in the coordinate plane has vertices whose y-coordinates are 23 Apr 2019, 13:17
2
Kudos
Add Kudos
40
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

28% (02:44) correct 72% (02:09) wrong based on 212 sessions

History

Date
Time
Result
Not Attempted Yet
A square in the coordinate plane has vertices whose y-coordinates are 0, 1, 4, and 5. What is the area of the square?

(A) 16
(B) 17
(C) 25
(D) 26
(E) 27
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
satya2029
User avatar
Joined: 10 Dec 2017
Last visit: 29 Sep 2025
Posts: 229
Own Kudos:
259
 [8]
Given Kudos: 138
Location: India
Posts: 229
Kudos: 259
 [8]
A square in the coordinate plane has vertices whose y-coordinates are 07 Oct 2019, 00:57
6
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Let's play with Geometry
Attachments

IMG_20191007_132257__01.jpg
IMG_20191007_132257__01.jpg [ 1.61 MiB | Viewed 7901 times ]

IMG_20191007_132257.jpg
IMG_20191007_132257.jpg [ 2.47 MiB | Viewed 7921 times ]

General Discussion
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 02 Sep 2026
Posts: 8,809
Own Kudos:
5,329
 [1]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,809
Kudos: 5,329
 [1]
A square in the coordinate plane has vertices whose y-coordinates are 27 Apr 2019, 01:29
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
A square in the coordinate plane has vertices whose y-coordinates are 0, 1, 4, and 5. What is the area of the square?

(A) 16
(B) 17
(C) 25
(D) 26
(E) 27
Show more

coordiante ; (x1,0) , (x2,1), (x3,4 ), (x4,5)
difference in y coordinate point ; 4-0 ; 4 and 5-1 ; 4
use distance formula to find length of each side ; √4^2+1^2 ; √17
area ; 17
IMO B
avatar
Smeeta
avatar
Joined: 22 Apr 2019
Last visit: 08 Oct 2019
Posts: 4
Own Kudos:
1
Given Kudos: 16
Posts: 4
Kudos: 1
A square in the coordinate plane has vertices whose y-coordinates are 01 May 2019, 02:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Answer is C as 5 is the length of one side of the square.
A=s^2
5^2=25

Posted from my mobile device
User avatar
daludada
User avatar
Joined: 19 Apr 2018
Last visit: 11 Oct 2020
Posts: 16
Own Kudos:
10
Given Kudos: 35
Location: India
Concentration: Leadership, Strategy
Posts: 16
Kudos: 10
A square in the coordinate plane has vertices whose y-coordinates are 06 Oct 2019, 07:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
coordiante ; (x1,0) , (x2,1), (x3,4 ), (x4,5)
difference in y coordinate point ; 4-0 ; 4 and 5-1 ; 4
use distance formula to find length of each side ; √4^2+1^2 ; √17
area ; 17

Hi Mr Bunuel,


Not able to comprehend this particular concept. Can you pl eloborate.
Thanking you in anticipation
User avatar
TestPrepUnlimited
User avatar
Joined: 17 Sep 2014
Last visit: 30 Jun 2022
Posts: 1,222
Own Kudos:
1,156
 [4]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Expert
Expert reply
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Posts: 1,222
Kudos: 1,156
 [4]
A square in the coordinate plane has vertices whose y-coordinates are Updated on: 24 Oct 2019, 21:35
Originally posted by TestPrepUnlimited on 06 Oct 2019, 12:06.
Last edited by TestPrepUnlimited on 24 Oct 2019, 21:35, edited 2 times in total.
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
Bunuel
A square in the coordinate plane has vertices whose y-coordinates are 0, 1, 4, and 5. What is the area of the square?

(A) 16
(B) 17
(C) 25
(D) 26
(E) 27
Show more

All y-coordinates are different therefore it must be a tilted square. The major clue, in this case, is that there are two pairs of points with y-coordinates that have the difference of one: 0, 1 and 4, 5 have the same difference and they make a pair of parallel lines. You can also pair the points with y-coordinates of 0, 4 and 1, 5 and make up the other pair of parallel lines. Therefore the length is sqrt(4^2 + 1^2) = sqrt(17) and the area is 17.
Attachments

tilted square.png
tilted square.png [ 25.99 KiB | Viewed 7753 times ]

User avatar
daludada
User avatar
Joined: 19 Apr 2018
Last visit: 11 Oct 2020
Posts: 16
Own Kudos:
10
Given Kudos: 35
Location: India
Concentration: Leadership, Strategy
Posts: 16
Kudos: 10
A square in the coordinate plane has vertices whose y-coordinates are 08 Oct 2019, 00:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
testprepunlimited and satya2029...

thank you very much for this gr8 explanation.
User avatar
VelvetThunder
User avatar
Joined: 14 Jun 2020
Last visit: 30 Apr 2023
Posts: 73
Own Kudos:
131
Given Kudos: 77
Posts: 73
Kudos: 131
A square in the coordinate plane has vertices whose y-coordinates are 25 Apr 2021, 09:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post
satya2029
Let's play with Geometry
Show more

Another method could be the bigger square PQRS - 4 right triangles i.e. 5*5 - 4*(0.5 * 1 * 4) = 17
avatar
Harshjha001
avatar
Joined: 14 Sep 2019
Last visit: 08 Oct 2021
Posts: 53
Own Kudos:
25
Given Kudos: 19
Posts: 53
Kudos: 25
A square in the coordinate plane has vertices whose y-coordinates are 26 Apr 2021, 02:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can someone please explain the solution ?
I am not able to understand how do we get the sqr(1) in sqroot(sqr(4) + sqr(1)) in the above mentioned solutions.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,220
Own Kudos:
1,156
Posts: 39,220
Kudos: 1,156
A square in the coordinate plane has vertices whose y-coordinates are 13 Mar 2025, 22:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderator:
Bunuel
Math Expert
113060 posts