It is currently 18 Jan 2020, 10:37
My Tests

Close

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
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.

A farmer has two rectangular fields. The larger field has tw

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 9336
Followers: 193

Kudos [?]: 2268 [0], given: 8822

CAT Tests
A farmer has two rectangular fields. The larger field has tw [#permalink] New post 26 Aug 2018, 04:43
Expert's post
00:00

Question Stats:

48% (00:24) correct 51% (00:28) wrong based on 41 sessions
A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount?

(A) 2K

(B) 6K

(C) 7K

(D) 8K

(E) 12K
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
VP
VP
Joined: 20 Apr 2016
Posts: 1115
WE: Engineering (Energy and Utilities)
Followers: 17

Kudos [?]: 1003 [1] , given: 229

CAT Tests
Re: A farmer has two rectangular fields. The larger field has tw [#permalink] New post 26 Aug 2018, 05:52
1
This post received
KUDOS
Carcass wrote:
A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount?

(A) 2K

(B) 6K

(C) 7K

(D) 8K

(E) 12K


Let the length of the samller field = L

width of the smaller field = W

So the area of the smaller field = WL = K

Now the length of the bigger field = 2L

Width of the bigger field = 4W

So the Area = 4W * 2L = 8WL = 8K

Therefore the area of the larger field is greater than the area of the smaller field = 8K - K = 7K
_________________

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


Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

Intern
Intern
Joined: 19 Sep 2018
Posts: 32
Followers: 0

Kudos [?]: 8 [0], given: 0

A farmer has two rectangular fields. Field N has 6 times the [#permalink] New post 10 Jul 2019, 05:52
A farmer has two rectangular fields. Field N has 6 times the length and 2/3 times the width of the field M. If field M has area A, then the area of field N is greater than the area of field M by what amount?

2A

2.5A

3A

4A

5A
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 2672
Followers: 101

Kudos [?]: 2954 [1] , given: 45

Re: A farmer has two rectangular fields. Field N has 6 times the [#permalink] New post 10 Jul 2019, 06:37
1
This post received
KUDOS
Expert's post
Before posting a question, please perform a quick search first.
You'll find that this question has already been posted here: https://greprepclub.com/forum/a-farmer- ... 10592.html

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Sign up for my free GRE Question of the Day emails

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 2672
Followers: 101

Kudos [?]: 2954 [1] , given: 45

Re: A farmer has two rectangular fields. The larger field has tw [#permalink] New post 10 Jul 2019, 08:38
1
This post received
KUDOS
Expert's post
Carcass wrote:
A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount?

(A) 2K
(B) 6K
(C) 7K
(D) 8K
(E) 12K


The smaller field has area K
Area of a rectangle = (base)(height) = (length)(width)
Let L = length of SMALLER field
Let W = width of SMALLER field
So, we can write: LW = K

The LARGER field has twice the length and 4 times the width of the smaller field.
Let 2L = length of LARGER field
Let 4W = width of LARGER field
So area of LARGER field = (2L)(4W) = 8LW

Since we already know that LW = K, we can replace LW with K to get:
Area of LARGER field = 8(K)

Answer: D

RELATED VIDEO FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com
Sign up for my free GRE Question of the Day emails

1 KUDOS received
Manager
Manager
User avatar
Joined: 19 Nov 2018
Posts: 102
Followers: 0

Kudos [?]: 91 [1] , given: 53

Re: A farmer has two rectangular fields. The larger field has tw [#permalink] New post 04 Sep 2019, 08:00
1
This post received
KUDOS
Brent, they say the answer is C. (I thought it was D too at first).

Having said that, if someone said they have a bag of flour that is 1 pound and another bag that is 8 pounds, and they said how much greater is the 2nd bag then the first, in terms of weight, it seems like a correct response would be "8 times greater". I guess saying "7 pounds greater is also correct".

I guess the key is they didn't ask for how many TIMES greater, just how MUCH greater. At least, that's my interpretation.
1 KUDOS received
Intern
Intern
Joined: 28 Aug 2019
Posts: 40
Followers: 0

Kudos [?]: 11 [1] , given: 7

Re: A farmer has two rectangular fields. The larger field has tw [#permalink] New post 06 Sep 2019, 02:37
1
This post received
KUDOS
Let the length of the samller field = L

width of the smaller field = W

So the area of the smaller field = WL = K

Now the length of the bigger field = 2L

Width of the bigger field = 4W

So the Area = 4W * 2L = 8WL = 8K

Therefore the area of the larger field is greater than the area of the smaller field = 8K - K = 7K
1 KUDOS received
Intern
Intern
Joined: 04 Oct 2018
Posts: 22
Followers: 0

Kudos [?]: 17 [1] , given: 21

Re: A farmer has two rectangular fields. The larger field has tw [#permalink] New post 11 Jan 2020, 19:17
1
This post received
KUDOS
Let the length of the samller field = 1

width of the smaller field = 1

So the area of the smaller field = 1*1 = 1 = K

Now the length of the bigger field = 1*2 = 2

Width of the bigger field = 1*4 = 4

So the Area = 4*2 = 8

Therefore the area of the larger field is greater than the area of the smaller field = 8 - 1 = 7

So the ans is c) 7 K
Re: A farmer has two rectangular fields. The larger field has tw   [#permalink] 11 Jan 2020, 19:17
Display posts from previous: Sort by

A farmer has two rectangular fields. The larger field has tw

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

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®.