Last visit was: 13 Nov 2024, 22:48 It is currently 13 Nov 2024, 22:48

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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 29955
Own Kudos [?]: 36213 [1]
Given Kudos: 25903
Send PM
avatar
Manager
Manager
Joined: 25 Nov 2017
Posts: 51
Own Kudos [?]: 67 [2]
Given Kudos: 0
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12188 [0]
Given Kudos: 136
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12188 [0]
Given Kudos: 136
Send PM
Re: The area of a rectangle [#permalink]
1
Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project




Quantity A
Quantity B
The area of a rectangle with a perimeter of 60 m
\(200 m^2\)


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.

Kudo for the right answer and explanation.


Let's TEST some possible scenarios for Quantity A

Case 1:
If the perimeter is 60, then one possible scenario is that the base = 15 and the height = 15
In this case, the area = (15)(15) = 225
Here, Quantity A is greater

Case 2:
Another possible scenario is that the base = 25 and the height = 5 (perimeter still equals 60)
In this case, the area = (25)(5) = 125
Here, Quantity B is greater

Answer: D

Cheers,
Brent
avatar
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 133 [0]
Given Kudos: 0
Send PM
Re: The area of a rectangle [#permalink]
Ans D
avatar
Intern
Intern
Joined: 30 Aug 2020
Posts: 23
Own Kudos [?]: 23 [0]
Given Kudos: 0
GRE 1: Q165 V170
Send PM
Re: The area of a rectangle [#permalink]
1
The correct answer is D

If a rectangle has a perimeter of 60, this means that the sum of it's length and breadth is 30
i.e. l+b = 30

Now, it is useful to remember that among rectangles with a particular perimeter, the one with the highest area is a square.

=> Side of square = 15
=> Area of square = Max possible area of rectangle = 15*15 = 225
This is greater than 200

Now, let's consider another case. Let l = 20 and b =10. In this case, the area = 20*10 = 200
This is equal to quantity B

Thus, it can be seen that we cannot accurately predict the relationship between quantities A and B based on the information provided in the problem.

Hence the correct answer is D
Prep Club for GRE Bot
Re: The area of a rectangle [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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