Last visit was: 26 Dec 2024, 00:39 It is currently 26 Dec 2024, 00:39
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

The perimeter of quadrilateral ABCD

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30496
Own Kudos [?]: 36859 [0]
Given Kudos: 26107
Send PM
The perimeter of quadrilateral ABCD [#permalink] New post   07 Dec 2022, 03:31
Expert Reply
00:00

Question Stats:

80% (01:28) correct 20% (01:13) wrong based on 15 sessions

Hide Show timer Statistics

Attachment:
GRE The perimeter of quadrilateral ABCD.jpg
GRE The perimeter of quadrilateral ABCD.jpg [ 24.84 KiB | Viewed 1734 times ]


Quantity A
Quantity B
The perimeter of quadrilateral ABCD
The area of the shaded region



A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
B
User avatar
B
rainer85
Manager
Manager
Joined: 17 Aug 2022
Posts: 88
Own Kudos [?]: 42 [0]
Given Kudos: 73
GRE 1: Q158 V156
Send PM
Re: The perimeter of quadrilateral ABCD [#permalink] New post   07 Dec 2022, 20:07
The diamond generates two different triangles, each with a base of 10 and a height of 12.
Area of a triangle = .5 * 10 * 12 = 60 + 60 (adding 60 since there are two triangles with this area) = 120 = QB

QA: use the Pythagorean theorem, the diamond generates four triangles, each with legs that have lengths of 5 and 12 and thus a hypotenuse of 13 (5^2 + 12^2 = 13^2). 13 * 4 = 52

QB is larger
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30496
Own Kudos [?]: 36859 [0]
Given Kudos: 26107
Send PM
Re: The perimeter of quadrilateral ABCD [#permalink] New post   11 Dec 2022, 04:00
Expert Reply
OE


The axes split the quadrilateral into four equal 5-12-13 right triangles. So the perimeter is 4(13) = 52, and the area of each of the 4 triangles is 30 for a total area of 120. Quantity B is therefore greater.
Prep Club for GRE Bot
gmatclubot
Re: The perimeter of quadrilateral ABCD [#permalink]
11 Dec 2022, 04:00
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact