 It is currently 25 Sep 2020, 23:56 ### GMAT 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

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. # A, B, and C are three rectangles The length and width  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2921  , given: 394

A, B, and C are three rectangles The length and width [#permalink]
2
KUDOS
Expert's post 00:00

Question Stats: 82% (01:09) correct 17% (01:43) wrong based on 202 sessions
A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.

 Quantity A Quantity B The area of rectangle A The area of rectangle B

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.

Practice Questions
Question: 4
Page: 156
Difficulty: hard
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2921  , given: 394

Re: A, B, and C are three rectangles The length and width [#permalink]
1
KUDOS
Expert's post
Let the sides of rectangle C be 100 and 100.

Now from the description in the question we know that length of side A is 110 (10% more than C) and breadth of rectangle A is 90 (10% less than C). Thus Area of rectangle A is 9900.

Again from the description we have length of side B is 120 (20% more than C) and breadth of rectangle B is 80 (20% less than C).
Thus Area of rectangle C is 9600.

Clearly A is greater.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Manager Joined: 22 Feb 2018
Posts: 163
Followers: 2

Kudos [?]: 138  , given: 22

Re: A, B, and C are three rectangles The length and width [#permalink]
2
KUDOS
correct: A
A: Length_A = 1.1 * Length_C Width_A = 0.9 * Length_C
B: Length_B = 1.2 * Length_C Width_A = 0.8 * Length_C
C: Lenght_C Width_C

The area of rectangle A: Length_A * Width_A = 1.1 * Length_C * 0.9 * Length_C
The area of rectangle B: Length_B * Width_B = 1.2 * Length_C * 0.8 * Length_C
We compare 1.1 * 0.9 and 1.2* 0.8.
A is bigger.

_________________ GRE Instructor Joined: 10 Apr 2015
Posts: 3835
Followers: 148

Kudos [?]: 4491  , given: 69

Re: A, B, and C are three rectangles The length and width [#permalink]
1
KUDOS
Expert's post
sandy wrote:
A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.

 Quantity A Quantity B The area of rectangle A The area of rectangle B

Sandy has already provided a fast solution by assigning some nice dimensions to rectangle C.

So, let's examine an algebraic approach.

Let rectangle C have length L and width W

The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C
So, the length of rectangle A = L + (10% of L) = L + (0.1L) = 1.1L
And, the width of rectangle A = W - (10% of W) = W - (0.1L) = 0.9W

The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C
So, the length of rectangle B = L + (20% of L) = L + (0.2L) = 1.2L
And, the width of rectangle B = W - (20% of W) = W - (0.2L) = 0.8W

Area or rectangle = (length)(width)

We get:
Quantity A: (1.1L)(0.9W)
Quantity B: (1.2L)(0.8W)

Simplify to get:
Quantity A: 0.99LW
Quantity B: 0.96LW

Since L and W are POSITIVE, we can be certain that 0.99LW > 0.96LW

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Intern Joined: 15 Aug 2019
Posts: 31
Followers: 0

Kudos [?]: 22  , given: 3

Re: A, B, and C are three rectangles The length and width [#permalink]
1
KUDOS
Let, For C , Length 100, width 50, Area=5000
so For A, Length 110,width 45, Area=4950
and For B, Length 120, width 40, Area=4800

So A is greater. Re: A, B, and C are three rectangles The length and width   [#permalink] 15 Aug 2019, 13:27
Display posts from previous: Sort by

# A, B, and C are three rectangles The length and width  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.