It is currently 21 Nov 2018, 06:06

### 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

# The length of rectangle B is 10 percent less than the length

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 4928
Followers: 74

Kudos [?]: 982 [0], given: 4518

The length of rectangle B is 10 percent less than the length [#permalink]  15 Feb 2017, 08:41
Expert's post
00:00

Question Stats:

67% (00:47) correct 32% (00:53) wrong based on 34 sessions

The length of rectangle B is 10 percent less than the length of rectangle A, and the width of rectangle B is 10 percent greater than the width of rectangle A.

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

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.
[Reveal] Spoiler: OA

_________________
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4722
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1630 [0], given: 390

Re: The length of rectangle B is 10 percent less than the length [#permalink]  21 Feb 2017, 16:56
Expert's post
Explanation

Lets assume length of rectangle A is x and width of rectangle A is y.

Clearly area of rectangle A = $$x \times y$$

Now, length of rectangle B is 10 percent less than the length of rectangle A

length of rectangle B = 0.9 x

width of rectangle B is 10 percent greater than the width of rectangle A

width of rectangle B = 1.1 y

Clearly area of rectangle B $$= 0.9 x \times 1.1 y = 0.99 \times x \times y$$.

Irrespective of values of x and y (which can only be positive real numbers), Quantity A is always greater.

Hence option A is correct.
_________________

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

Try our free Online GRE Test

Re: The length of rectangle B is 10 percent less than the length   [#permalink] 21 Feb 2017, 16:56
Display posts from previous: Sort by