Last visit was: 24 Apr 2026, 19:20 It is currently 24 Apr 2026, 19:20
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
505-555 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,087
 [1]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,087
 [1]
In the figure above, the areas of square regions X and Y are 1 and 4, 20 Jan 2021, 01:15
Kudos
Add Kudos
1
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:

15% (low)

Question Stats:

86% (00:52) correct 14% (00:41) wrong based on 43 sessions

History

Date
Time
Result
Not Attempted Yet

In the figure above, the areas of square regions X and Y are 1 and 4, respectively. What is the area of the triangular region?

A. 2

B. 1

C. 3/4

D. 1/2

E. 1/4



Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS


Show Spoiler
Attachment:
1.jpg
1.jpg [ 8.56 KiB | Viewed 1904 times ]
ShowHide Answer
Official Answer
B
User avatar
CrackverbalGMAT
User avatar
Major Poster
Joined: 03 Oct 2013
Last visit: 24 Apr 2026
Posts: 4,846
Own Kudos:
9,182
Given Kudos: 226
Affiliations: CrackVerbal
Location: India
Expert
Expert reply
Posts: 4,846
Kudos: 9,182
In the figure above, the areas of square regions X and Y are 1 and 4, Updated on: 20 Jan 2021, 04:14
Originally posted by CrackverbalGMAT on 20 Jan 2021, 04:04.
Last edited by CrackverbalGMAT on 20 Jan 2021, 04:14, edited 1 time in total.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The triangle is right angled. The base and height of the triangle = 1 and 2 respectively, since the 2 squares lie on the sides of the triangle.

Area = 1/2 * base * height = 1/2 * 1 * 2 = 1


Option B

Arun Kumar
User avatar
ansarose
User avatar
Schools: Anderson '24 Booth '24 Broad Carlson Carroll CEIBS '24 Columbia CBS '24 Darden '24 Goizueta '24 ESADE Foster '24 Fuqua '24 Haas '24 Harvard '24 HKUST IESE '24 IMD '22 ISB '23 Johnson '24 Jones Judge '23 Katz Kelley '24 Kellogg '24 Kenan-Flagler '24 LBS '24 Madison Marshall '24 Mays McCombs '24 McDonough '24 Mendoza Merage NTU NUS Owen '24 Said '23 BU Ross '24 Rotman '24 Erasmus Scheller Bocconi Simon '24 Sloan '24 Smeal Stanford '24 Tepper '24 Tuck '24 Warwick "23 Wharton '24 Yale '24
GMAT 1: 660 Q45 V36
Posts: 58
Kudos: 11
 [1]
In the figure above, the areas of square regions X and Y are 1 and 4, 20 Jan 2021, 04:10
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Since the area of square y is 4 shouldn't this mean (length(y))^2= 4 which means length(y)=2 so wouldn't the area of triangle be 1/2*1*2=1 ?

Posted from my mobile device
User avatar
MI83
User avatar
Joined: 31 Dec 2019
Last visit: 05 Jun 2023
Posts: 37
Own Kudos:
56
Given Kudos: 362
Location: Lebanon
Schools: IE
Products:
My Reviews
Schools: IE
Posts: 37
Kudos: 56
In the figure above, the areas of square regions X and Y are 1 and 4, 20 Jan 2021, 04:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
let Sx is the side of square X and SY the side of square y => Sx =sqrt (1) =1 & Sy= Sqrt(4)=2 => triangle surface = (Sx*Sy)/2= 1.
User avatar
kntombat
User avatar
Retired Moderator
Joined: 28 Feb 2020
Last visit: 19 Jan 2023
Posts: 862
Own Kudos:
530
 [1]
Given Kudos: 839
Location: India
WE:Other (Other)
Posts: 862
Kudos: 530
 [1]
In the figure above, the areas of square regions X and Y are 1 and 4, 20 Jan 2021, 04:28
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The area of Triangle \( X\) is 1 and of Triangle \(Y\) is 4. This means that the sides of triangle \(X\) is \(1\) and triangle \(Y\) is \(2\).

Now one side of \(X\) forms the base of the triangular region and one side of \(Y\) forms the height of the triangular region.

Therefore, the area is \(\frac{1}{2}*b*h\)= \(\frac{1}{2}*1*2 = 1\).

Therefore, the OA is B.
avatar
TarunKumar1234
avatar
Joined: 14 Jul 2020
Last visit: 28 Feb 2024
Posts: 1,102
Own Kudos:
1,357
Given Kudos: 351
Location: India
Posts: 1,102
Kudos: 1,357
In the figure above, the areas of square regions X and Y are 1 and 4, 20 Jan 2021, 09:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It is a right angled triangle, with base = Sqrt(1)= 1 and height = Sqrt(4)=2

Area of a triangle = 1/2 * base * height = 1/2 *1 *2 = 1

So, I think B. :)
avatar
GCMEMBER
avatar
Joined: 09 Dec 2019
Last visit: 03 Jun 2021
Posts: 123
Own Kudos:
176
Given Kudos: 5
Posts: 123
Kudos: 176
In the figure above, the areas of square regions X and Y are 1 and 4, 21 Jan 2021, 00:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
In the figure above, the areas of square regions X and Y are 1 and 4, respectively. What is the area of the triangular region?

Height of triangle = root 4 = 2
Base of triangle = root 1 = 1

Area of triangle = 1/2*2*1 = 1

Option B

Posted from my mobile device
Moderators:
Bunuel
Math Expert
109818 posts
Krunaal
Tuck School Moderator
853 posts