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Moderator  Joined: 18 Apr 2015
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The area of a rectangle [#permalink]
Expert's post 00:00

Question Stats: 86% (00:52) correct 13% (00:54) wrong based on 51 sessions

 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.
[Reveal] Spoiler: OA

_________________ Manager Joined: 25 Nov 2017
Posts: 51
Followers: 0

Kudos [?]: 41  , given: 5

Re: The area of a rectangle [#permalink]
1
KUDOS
So here we know that the rectangle has perimeter 60.
Since a rectangle can be a square we can maximize his area : 15*15 = 225
So QA is bigger.
However if we minimize we can say that one side equals = 1 and the other one = 29 which gives us 29.
So in this case it is bigger.

Is my reasoning correct? GRE Instructor Joined: 10 Apr 2015
Posts: 1538
Followers: 55

Kudos [?]: 1463  , given: 8

Re: The area of a rectangle [#permalink]
2
KUDOS
Expert's post
Popo wrote:
So here we know that the rectangle has perimeter 60.
Since a rectangle can be a square we can maximize his area : 15*15 = 225
So QA is bigger.
However if we minimize we can say that one side equals = 1 and the other one = 29 which gives us 29.
So in this case it is bigger.

Is my reasoning correct?

Your reasoning is perfect.
I have edited the OP to show the correct answer is D

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails

GRE Instructor Joined: 10 Apr 2015
Posts: 1538
Followers: 55

Kudos [?]: 1463 , given: 8

Re: The area of a rectangle [#permalink]
Expert's post
Carcass wrote:

 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

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails

Director Joined: 09 Nov 2018
Posts: 509
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Kudos [?]: 21 , given: 1

Re: The area of a rectangle [#permalink]
Ans D Re: The area of a rectangle   [#permalink] 19 Jan 2019, 19:11
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