Last visit was: 11 Sep 2026, 01:29 It is currently 11 Sep 2026, 01:29
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
655-705 (Hard)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 10 Sep 2026
Posts: 113,435
Own Kudos:
840,585
 [3]
Given Kudos: 111,467
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,435
Kudos: 840,585
 [3]
What is the maximum number of right triangles with legs of length 3 ft 25 Jun 2019, 03:52
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

44% (01:19) correct 56% (01:46) wrong based on 111 sessions

History

Date
Time
Result
Not Attempted Yet

What is the maximum number of right triangles with legs of length 3 ft and 4 ft that can be cut from the rectangular sheet of metal represented in the figure attached?

(A) 7
(B) 8
(C) 10
(D) 12
(E) 14

Show Spoiler
Attachment:
217695.18.gmc74207s.gif
217695.18.gmc74207s.gif [ 1.43 KiB | Viewed 3394 times ]
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
Apt0810
User avatar
Joined: 15 Jul 2018
Last visit: 24 Oct 2020
Posts: 318
Own Kudos:
688
 [5]
Given Kudos: 94
Posts: 318
Kudos: 688
 [5]
What is the maximum number of right triangles with legs of length 3 ft Updated on: 26 Jun 2019, 08:24
Originally posted by Apt0810 on 26 Jun 2019, 03:46.
Last edited by Apt0810 on 26 Jun 2019, 08:24, edited 1 time in total.
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Below figure is showing all 14 triangles which can be formed:
Attachments

IMG_20190626_161410__01.jpg
IMG_20190626_161410__01.jpg [ 1.41 MiB | Viewed 2990 times ]

IMG_20190626_161410__01.jpg
IMG_20190626_161410__01.jpg [ 1.41 MiB | Viewed 3002 times ]

IMG_20190626_161410.jpg
IMG_20190626_161410.jpg [ 2.63 MiB | Viewed 3080 times ]

General Discussion
User avatar
Lampard42
User avatar
Joined: 22 Nov 2018
Last visit: 12 Dec 2020
Posts: 424
Own Kudos:
566
 [2]
Given Kudos: 292
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 740 Q49 V41
GMAT 2: 740 Q49 V41
Posts: 424
Kudos: 566
 [2]
What is the maximum number of right triangles with legs of length 3 ft 25 Jun 2019, 23:13
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u Bunuel Should we just figure of the area of the rectangle (7*12=84) and area of the required triangle (1*3*4/2=6) and arrive at the triangles 84/6=14 or should we check if such triangles are possible from the balance area say : first can you cut all the area of the rectangle in right angles triangles of the required measurements? or some area will be unusable?
avatar
farharajeev
avatar
Joined: 25 Jun 2018
Last visit: 16 Dec 2019
Posts: 7
Own Kudos:
10
Given Kudos: 22
Location: United Arab Emirates
Schools: IIMB
GPA: 3.88
Schools: IIMB
Posts: 7
Kudos: 10
What is the maximum number of right triangles with legs of length 3 ft 26 Jun 2019, 02:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Arvind42
chetan2u Bunuel Should we just figure of the area of the rectangle (7*12=84) and area of the required triangle (1*3*4/2=6) and arrive at the triangles 84/6=14 or should we check if such triangles are possible from the balance area say : first can you cut all the area of the rectangle in right angles triangles of the required measurements? or some area will be unusable?
Show more


its fine either way, because there is no unusable area
User avatar
Lampard42
User avatar
Joined: 22 Nov 2018
Last visit: 12 Dec 2020
Posts: 424
Own Kudos:
566
Given Kudos: 292
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 740 Q49 V41
GMAT 2: 740 Q49 V41
Posts: 424
Kudos: 566
What is the maximum number of right triangles with legs of length 3 ft 26 Jun 2019, 02:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
farharajeev
Arvind42
chetan2u Bunuel Should we just figure of the area of the rectangle (7*12=84) and area of the required triangle (1*3*4/2=6) and arrive at the triangles 84/6=14 or should we check if such triangles are possible from the balance area say : first can you cut all the area of the rectangle in right angles triangles of the required measurements? or some area will be unusable?




its fine either way, because there is no unusable area
Show more

But how do we determine that there is no unusable area?. This question it might work but others?

Posted from my mobile device
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 11 Sep 2026
Posts: 8,815
Own Kudos:
5,338
 [2]
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: 8,815
Kudos: 5,338
 [2]
What is the maximum number of right triangles with legs of length 3 ft 26 Jun 2019, 08:23
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel

What is the maximum number of right triangles with legs of length 3 ft and 4 ft that can be cut from the rectangular sheet of metal represented in the figure attached?

(A) 7
(B) 8
(C) 10
(D) 12
(E) 14

Show Spoiler
Attachment:
217695.18.gmc74207s.gif
Show more

area of ∆ = 1/2 * 3*4 ; 6
area of rectangle ; 7*12 ; 84
so max fig which can be cut ; 84/6 ; 14
IMO E
avatar
Shobhit7
avatar
Joined: 01 Feb 2017
Last visit: 29 Apr 2021
Posts: 239
Own Kudos:
441
Given Kudos: 148
Posts: 239
Kudos: 441
What is the maximum number of right triangles with legs of length 3 ft 28 Jun 2019, 05:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Rather than 3-4-5 triangle, Let's consider a rectangle with sides 3 and 4. Each rectangle can be further cut into 2 triangles.

Along the base 7:

Placing rectangle with side 3 cm will stack up 3 rectangles in height: 12/4= 3

Now, along base 7: on remaining 4 cm, we can stack up 4 rectangles: 12/3= 4.

Total 4x3 rectangles: 7
Therefore, total triangles: 14

Ans E

Posted from my mobile device
Moderator:
Bunuel
Math Expert
113435 posts