GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 20:46

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

Two rectangles have the same breadth and the difference

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Intern
Joined: 27 Sep 2011
Posts: 13
Two rectangles have the same breadth and the difference  [#permalink]

Show Tags

01 May 2012, 02:36
3
00:00

Difficulty:

15% (low)

Question Stats:

92% (02:34) correct 8% (03:34) wrong based on 37 sessions

HideShow timer Statistics

Two rectangles have the same breadth and the difference between their perimeters is 56m. If the difference between their areas is 336m^2, find the breadth of the rectangles.

A. 18
B. 10
C. 24
D. 12

Source: Mathematics by L.Harwood Clarke ( page: 168, No.11)

_________________
All I want to be A Self-made Man
Intern
Joined: 25 Apr 2012
Posts: 10
Re: Two rectangles have the same breadth....  [#permalink]

Show Tags

01 May 2012, 02:44
Let the common breadth be 'b'
and lengths be x and y
Diff. of perimeters = 2(x+b) - 2(y+b) = 2(x-y) = 56
=> x-y = 28
Diff. of areas = bx - by = b(x-y) = 336
=> b = 336/28 = 12
_________________
Ravi Sankar Vemuri
Manager
Joined: 11 Dec 2013
Posts: 121
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
Re: Two rectangles have the same breadth and the difference  [#permalink]

Show Tags

03 Feb 2019, 00:18
1
Length of first rectangle = x
Length of first rectangle = y

Difference in perimeters $$= 2(x+b) - 2(y+b) = 2(x-y) = 56 \rightarrow x-y = 28$$
Difference in areas $$= bx - by = b(x-y) = 336 \rightarrow b = 336/28 = 12$$

IMO D
_________________
KUDOS will increase your score
VP
Joined: 09 Mar 2016
Posts: 1230
Re: Two rectangles have the same breadth and the difference  [#permalink]

Show Tags

03 Feb 2019, 03:36
4d wrote:
Length of first rectangle = x
Length of first rectangle = y

Difference in perimeters $$= 2(x+b) - 2(y+b) = 2(x-y) = 56 \rightarrow x-y = 28$$
Difference in areas $$= bx - by = b(x-y) = 336 \rightarrow b = 336/28 = 12$$

IMO D

4d
how did you get 28 ?
Manager
Joined: 11 Dec 2013
Posts: 121
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
Re: Two rectangles have the same breadth and the difference  [#permalink]

Show Tags

03 Feb 2019, 03:48
1
dave13 wrote:
4d wrote:
Length of first rectangle = x
Length of first rectangle = y

Difference in perimeters $$= 2(x+b) - 2(y+b) = 2(x-y) = 56 \rightarrow x-y = 28$$
Difference in areas $$= bx - by = b(x-y) = 336 \rightarrow b = 336/28 = 12$$

IMO D

4d
how did you get 28 ?

dave13

$$2(x+b)−2(y+b)=2x+2b-2y-2b =2x-2y=2(x−y)=56$$

$$2(x−y)=56$$ [divide by 2]
$$x-y=28$$
_________________
KUDOS will increase your score
Re: Two rectangles have the same breadth and the difference   [#permalink] 03 Feb 2019, 03:48
Display posts from previous: Sort by

Two rectangles have the same breadth and the difference

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne