Last visit was: 25 Apr 2026, 08:16 It is currently 25 Apr 2026, 08:16
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: 25 Apr 2026
Posts: 109,827
Own Kudos:
811,212
 [1]
Given Kudos: 105,878
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: 109,827
Kudos: 811,212
 [1]
In the figure above, if the area of the rectangular region PQRS is 40, 11 Oct 2017, 00:59
Kudos
Add Kudos
1
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:

15% (low)

Question Stats:

80% (01:24) correct 20% (01:50) wrong based on 135 sessions

History

Date
Time
Result
Not Attempted Yet

In the figure above, if the area of the rectangular region PQRS is 40, and if PT = TS, what is the area of the pentagonal region PQRST?

(A) 15
(B) 20
(C) 25
(D) 30
(E) cannot be determined

Show Spoiler
Attachment:
2017-10-11_1156_001.png
2017-10-11_1156_001.png [ 9.81 KiB | Viewed 6032 times ]
ShowHide Answer
Official Answer
E
User avatar
Alexey1989x
User avatar
Joined: 05 Dec 2016
Last visit: 20 May 2023
Posts: 187
Own Kudos:
98
Given Kudos: 49
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
GMAT 1: 620 Q46 V29
Posts: 187
Kudos: 98
In the figure above, if the area of the rectangular region PQRS is 40, 11 Oct 2017, 01:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMHO: Answer E.

We don't know if T is the centre of PQRS and we don't know the relationship between sides of the triangle.
User avatar
Adityagmatclub
User avatar
Joined: 22 May 2017
Last visit: 13 Feb 2024
Posts: 69
Own Kudos:
18
Given Kudos: 223
Posts: 69
Kudos: 18
In the figure above, if the area of the rectangular region PQRS is 40, 12 Oct 2017, 07:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, if the area of the rectangular region PQRS is 40, and if PT = TS, what is the area of the pentagonal region PQRST?

(A) 15
(B) 20
(C) 25
(D) 30
(E) cannot be determined

Show Spoiler
Attachment:
2017-10-11_1156_001.png
Show more


Answer cannot be determined as we dont know the relationship between them.
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
8,711
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,711
In the figure above, if the area of the rectangular region PQRS is 40, 13 Oct 2017, 09:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, if the area of the rectangular region PQRS is 40, and if PT = TS, what is the area of the pentagonal region PQRST?

(A) 15
(B) 20
(C) 25
(D) 30
(E) cannot be determined

Show Spoiler
Attachment:
2017-10-11_1156_001.png
Show more

Since we don’t know the length and width of rectangle PSRS (for example, l = 10 and w = 4 OR l = 8 and w = 5), we don’t know the length of PS. Furthermore, since we do not know whether T is the center of the rectangle, there is no way for us to determine the height of triangle PTS, and thus no way to determine the area of the pentagonal region PQRST.

Alternate Explanation:

Figure not drawn to scale means that the point T could be anywhere within the rectangle that satisfies PT = TS; in other words, it could be anywhere on the vertical line that passes through T. If we imagine that point T is located very close to the side PS of the rectangle, the area of the triangle will be very small and the area of the pentagonal region will be close to the area of the rectangle. If, on the other hand, point T is located very close to the side QR of the rectangle, then the area of the triangle will be larger and the area of the pentagonal region will be smaller. Thus, the information provided in the question does not determine the area of the pentagonal region PQRST.

Answer: E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,984
Own Kudos:
1,117
Posts: 38,984
Kudos: 1,117
In the figure above, if the area of the rectangular region PQRS is 40, 13 Jun 2024, 23:07
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.
Moderators:
Bunuel
Math Expert
109827 posts
Krunaal
Tuck School Moderator
852 posts