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# The area of a rectangle

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The area of a rectangle [#permalink]  08 Jan 2018, 13:20
Expert's post
00:00

Question Stats:

78% (00:48) correct 21% (00:54) wrong based on 33 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

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Manager
Joined: 25 Nov 2017
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Re: The area of a rectangle [#permalink]  10 Jan 2018, 01:09
1
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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
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Kudos [?]: 1105 [2] , given: 7

Re: The area of a rectangle [#permalink]  10 Jan 2018, 10:35
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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?

I have edited the OP to show the correct answer is D

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

GRE Instructor
Joined: 10 Apr 2015
Posts: 1228
Followers: 45

Kudos [?]: 1105 [0], given: 7

Re: The area of a rectangle [#permalink]  10 Jan 2018, 10:39
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

Re: The area of a rectangle   [#permalink] 10 Jan 2018, 10:39
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