Last visit was: 25 Apr 2026, 13:18 It is currently 25 Apr 2026, 13:18
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: 25 Apr 2026
Posts: 109,831
Own Kudos:
811,260
Given Kudos: 105,886
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: 109,831
Kudos: 811,260
In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimet 23 Dec 2020, 09:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
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:

100% (00:48) correct 0% (00:00) wrong based on 33 sessions

History

Date
Time
Result
Not Attempted Yet

In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimeter of the quadrilateral?

(A) 32
(B) 30
(C) 28
(D) 26
(E) 24


Show Spoiler
Attachment:
2020-12-21_17-17-58.png
2020-12-21_17-17-58.png [ 13.75 KiB | Viewed 1971 times ]
ShowHide Answer
Official Answer
A
User avatar
bobnil
User avatar
Joined: 28 May 2017
Last visit: 22 Sep 2023
Posts: 40
Own Kudos:
39
Given Kudos: 82
Location: India
Posts: 40
Kudos: 39
In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimet 23 Dec 2020, 09:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
For, triangle ABD, BD =5 (Considering pythegorian triplets 3-4-5).
For triangle BCD, DC= sqrt(25+144)
= 13.
So,reqd perimeter = 3+4+13+12 =32
Ans A

Posted from my mobile device
User avatar
ShankSouljaBoi
User avatar
Joined: 21 Jun 2017
Last visit: 28 Mar 2026
Posts: 600
Own Kudos:
611
 [1]
Given Kudos: 4,090
Location: India
Concentration: Finance, Economics
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 1: 660 Q49 V31
GMAT 2: 620 Q47 V30
GMAT 3: 650 Q48 V31
GPA: 3.1
WE:Corporate Finance (Non-Profit and Government)
Products:
My Reviews
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 3: 650 Q48 V31
Posts: 600
Kudos: 611
 [1]
In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimet 23 Dec 2020, 09:49
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
3 , 4 , 5

5 , 12 , 13

final ans = 3+4+12+13 = 32 .... A
avatar
Alligator16
avatar
Joined: 28 Aug 2018
Last visit: 10 Oct 2022
Posts: 11
Own Kudos:
17
Given Kudos: 117
Location: India
Schools: ESADE Haas '24 IMD '22 LBS '24
GMAT 1: 730 Q50 V39
Schools: ESADE Haas '24 IMD '22 LBS '24
GMAT 1: 730 Q50 V39
Posts: 11
Kudos: 17
In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimet 23 Dec 2020, 09:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given:
1. ∆ABD & ∆BDC are Right Angle Triangles.
2. AB=3, AD=4, BC=12

To find: Perimeter of ABCD.

Solving: ∆ABD
By using Pythagoras theorem we will get side BD.
BD^2 = AB^2 + AD^2 =25
BD = 5

Solving: ∆BDC
By using Pythagoras theorem we will get side CD.
CD^2 = BD^2 + BC^2 = 169
CD = 13

Perimeter of ABCD: AB+BC+CD+DA = 3+12+13+4= 32

Answer: A

Posted from my mobile device
User avatar
Nipungupta9081
User avatar
School Moderator - INSEAD Masters
Joined: 07 Jan 2020
Last visit: 19 Apr 2026
Posts: 500
Own Kudos:
274
Given Kudos: 198
Location: India
GPA: 4
WE:Analyst (Accounting)
Posts: 500
Kudos: 274
In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimet 23 Dec 2020, 10:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimeter of the quadrilateral?

(A) 32
(B) 30
(C) 28
(D) 26
(E) 24


Show Spoiler
Attachment:
2020-12-21_17-17-58.png
Show more

IMO A

Triangle ADB is an Right Angle Triangle
3^2 + 4^2 = DB^2
5 = DB

Triangle DBC Right Angle
DB^2 + BC^2 = DC^2
13 = DC


Perimeter = Sum of all sides
DB +BC + CD + DA = 4+3+12+13 = 32
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,903
Own Kudos:
5,456
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,903
Kudos: 5,456
In the diagram below, AB = 3, AD = 4, and BC = 12. What is the perimet 23 Dec 2020, 10:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ShankSouljaBoi
3 , 4 , 5

5 , 12 , 13

final ans = 3+4+12+13 = 32 .... A
Show more
Using Pythagorean triples form....

Short and cute way to solve this problem in seconds, Kudos added :ok :ok :ok :student_man: :student_man: :student_man:
Moderators:
Bunuel
Math Expert
109831 posts
Krunaal
Tuck School Moderator
852 posts