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.
This period of time is long enough: it gives you more than enough time to comfortably learn, review and practice all of the material. On the other hand it is not too long.
Free GRE Class: First Session. Experience the power of live instruction, for free. Our sample classes showcase our passionate and dedicated faculty and the way they'll guide you through proven strategies for improving your score.
The area of a square [#permalink]
26 Jun 2018, 09:12
Expert's post
00:00
Question Stats:
83% (01:00) correct
16% (00:39) wrong based on 59 sessions
Quantity A
Quantity B
The area of a square region with the perimeter of 24
The area of a rectangular region with the perimeter of 28
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Re: The area of a square [#permalink]
26 Jun 2018, 09:55
1
This post received KUDOS
Carcass wrote:
Quantity A
Quantity B
The area of a square region with the perimeter of 24
The area of a rectangular region with the perimeter of 28
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
From Statement 1 we have
Perimeter of Square = 4 * side =24
or side = 6
Now area of square = \(6^2\) =36
From Statement 2;
Perimeter of rectangle = 2(Length * Breadth) = 28
or Length * Breadth = 14
Now suppose Length = 4 and breadth = 10
Then area of rectangle = Length * Breadth = 40 ; which is greater than Statement 1
But if Length = 2 and Breadth = 12
Then area of rectangle = Length * Breadth = 24 ; which is Less than Statement 1
Hence the option is D
_________________
If you found this post useful, please let me know by pressing the Kudos Button
Re: The area of a square [#permalink]
30 Jun 2018, 06:56
1
This post received KUDOS
Expert's post
Carcass wrote:
Quantity A
Quantity B
The area of a square region with the perimeter of 24
The area of a rectangular region with the perimeter of 28
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Notice that Quantity A is FIXED. All sides of a square have the same length So, if the perimeter is 24, then each side has length 6 So, the area of the square = (base)(height) = (6)(6) = 36 So, QUANTITY A = 36
On the other hand, Quantity B can have infinitely many values Consider these two possible cases:
CASE A: if the perimeter of the rectangle is 28, then its dimensions could be 6 by 8 In this case, the area = (base)(height) = (6)(8) = 48 Since QUANTITY A = 36, we can see that Quantity B is greater
CASE B: if the perimeter of the rectangle is 28, then its dimensions could also be 1 by 13 In this case, the area = (base)(height) = (1)(13) = 13 Since QUANTITY A = 36, we can see that Quantity A is greater
Answer: D
RELATED VIDEO FROM OUR COURSE
_________________
Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails
close
83% (01:00) correct
