Last visit was: 16 Sep 2026, 14:03 It is currently 16 Sep 2026, 14:03
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
Sub 505 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 Sep 2026
Posts: 113,597
Own Kudos:
841,708
Given Kudos: 111,580
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,597
Kudos: 841,708
If a rectangular piece of cloth measuring 20 inches by 10 inches is cu 25 Feb 2022, 03:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

96% (00:55) correct 4% (01:28) wrong based on 77 sessions

History

Date
Time
Result
Not Attempted Yet
If a rectangular piece of cloth measuring 20 inches by 10 inches is cut into exactly two squares, each of which are then cut into exactly two triangles, what is the area of one of the triangles, in square inches?


A. 20

B. 40

C. 50

D. 60

E. 80
ShowHide Answer
Official Answer
C
User avatar
stne
User avatar
Joined: 27 May 2012
Last visit: 15 Sep 2026
Posts: 1,824
Own Kudos:
2,186
Given Kudos: 692
Posts: 1,824
Kudos: 2,186
If a rectangular piece of cloth measuring 20 inches by 10 inches is cu 09 Mar 2022, 09:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If a rectangular piece of cloth measuring 20 inches by 10 inches is cut into exactly two squares, each of which are then cut into exactly two triangles, what is the area of one of the triangles, in square inches?


A. 20

B. 40

C. 50

D. 60

E. 80
Show more

Attachment:
square .png
square .png [ 2.35 KiB | Viewed 1977 times ]

Each square will have sides as \(10\)

Each \(\Delta\) will have legs as \(10\) and \(10 \),Hence area \(= \frac{1}{2}*10*10 = 50 \)

Hope the post helps.
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,878
Own Kudos:
5,544
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,878
Kudos: 5,544
If a rectangular piece of cloth measuring 20 inches by 10 inches is cu 09 Mar 2022, 10:04
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If a rectangular piece of cloth measuring 20 inches by 10 inches is cut into exactly two squares, each of which are then cut into exactly two triangles, what is the area of one of the triangles, in square inches?


A. 20

B. 40

C. 50

D. 60

E. 80
Show more
\(20*10 = 2a^2\)

So, \(a = 10\)

Thus, area of each triangle will be 1/2*10*10 = 50, Answer must be (C)
User avatar
thkkrpratik
User avatar
Current Student
Joined: 22 Nov 2021
Last visit: 21 Jul 2025
Posts: 275
Own Kudos:
202
Given Kudos: 40
Location: India
Schools: Darden '23 (M)
GPA: 3.87
Schools: Darden '23 (M)
Posts: 275
Kudos: 202
If a rectangular piece of cloth measuring 20 inches by 10 inches is cu 24 Mar 2022, 07:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If a rectangular piece of cloth measuring 20 inches by 10 inches is cut into exactly two squares, each of which are then cut into exactly two triangles, what is the area of one of the triangles, in square inches?

By cutting the rectangular cloth in the middle from the length, we get 2 squares with sides 10 inches each.

To cut the square cloth in exactly two triangles, we cut it diagonally. We get 2 isosceles right-angled triangles with height and base as 10 inches each.

Area = 1/2 x b x h
= 1/2 x 10 x 10
= 50 square inches

Option C
User avatar
MBAHOUSE
User avatar
MBA House Admissions Consultant
Joined: 26 May 2022
Last visit: 23 Apr 2024
Posts: 336
Own Kudos:
107
Expert
Expert reply
Posts: 336
Kudos: 107
If a rectangular piece of cloth measuring 20 inches by 10 inches is cu 19 Jul 2022, 07:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Many times draw the figure helps to solve the question.
Attachments

58EEABAB-E9A8-4972-BB51-5A2A0E2E036C.jpeg
58EEABAB-E9A8-4972-BB51-5A2A0E2E036C.jpeg [ 209.22 KiB | Viewed 1508 times ]

User avatar
ThatDudeKnows
User avatar
Joined: 11 May 2022
Last visit: 27 Jun 2024
Posts: 1,070
Own Kudos:
1,073
Given Kudos: 79
Expert
Expert reply
Posts: 1,070
Kudos: 1,073
If a rectangular piece of cloth measuring 20 inches by 10 inches is cu 19 Jul 2022, 07:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If a rectangular piece of cloth measuring 20 inches by 10 inches is cut into exactly two squares, each of which are then cut into exactly two triangles, what is the area of one of the triangles, in square inches?


A. 20

B. 40

C. 50

D. 60

E. 80
Show more

The area of the rectangle is 200. We cut it in half and then in half again, so in quarters. One quarter has an area of 50.

Answer choice C.
User avatar
gmatpro15
User avatar
Joined: 09 Aug 2022
Last visit: 12 Aug 2024
Posts: 79
Own Kudos:
25
Given Kudos: 48
Location: India
Concentration: General Management, Leadership
GPA: 4
WE:Design (Real Estate)
Posts: 79
Kudos: 25
If a rectangular piece of cloth measuring 20 inches by 10 inches is cu 14 Aug 2022, 04:28
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Since area is exactly divided we can calculate area of rectangle 10*20 = 200

and divide it by 4 = 50 (area of a traingle)
Moderator:
Bunuel
Math Expert
113597 posts