It is currently 30 Nov 2020, 03:48

### 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

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

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 13918
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3687 [0], given: 12942

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

Question Stats:

45% (00:34) correct 54% (00:48) wrong based on 120 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

_________________

New to the GRE, and GRE CLUB Forum?
GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ
Posting Rules: QUANTITATIVE | VERBAL
FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)
Free GRE Prep Club Tests: Got 20 Kudos? You can get Free GRE Prep Club Tests
GRE Prep Club on : Facebook | Instagram

Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection
Books: All GRE Best Books
Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)
How is the GRE Score Calculated -The Definitive Guide (2021)
Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)
Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1342 [2] , given: 251

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  26 Aug 2018, 05:52
2
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
Joined: 19 Sep 2018
Posts: 32
Followers: 1

Kudos [?]: 10 [1] , given: 0

A farmer has two rectangular fields. Field N has 6 times the [#permalink]  10 Jul 2019, 05:52
1
KUDOS
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
GRE Instructor
Joined: 10 Apr 2015
Posts: 3909
Followers: 164

Kudos [?]: 4777 [1] , given: 70

Re: A farmer has two rectangular fields. Field N has 6 times the [#permalink]  10 Jul 2019, 06:37
1
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

GRE Instructor
Joined: 10 Apr 2015
Posts: 3909
Followers: 164

Kudos [?]: 4777 [2] , given: 70

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  10 Jul 2019, 08:38
2
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)

RELATED VIDEO FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Manager
Joined: 19 Nov 2018
Posts: 102
Followers: 0

Kudos [?]: 108 [1] , given: 53

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  04 Sep 2019, 08:00
1
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.
Intern
Joined: 28 Aug 2019
Posts: 40
Followers: 0

Kudos [?]: 14 [1] , given: 7

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  06 Sep 2019, 02:37
1
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
Intern
Joined: 04 Oct 2018
Posts: 33
Followers: 0

Kudos [?]: 31 [1] , given: 30

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  11 Jan 2020, 19:17
1
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
Manager
Joined: 02 Sep 2019
Posts: 69
Concentration: Finance
GRE 1: Q151 V148
GPA: 3.14
Followers: 1

Kudos [?]: 39 [0], given: 21

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  14 Jul 2020, 04:54
Testing numbers here may get you confuse.
If we say that, small rectangle has Length and width = 1 and then area of 1, and the larger will have 2*4=8
yeah here difference is 7.
However, let pick different numbers lets say small has length of 2 and width of 1 = area= 2 and larger will have 4*2=8 and here the difference will be 6!
Can anyone please elaborate on this?
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Followers: 2

Kudos [?]: 137 [0], given: 300

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  14 Jul 2020, 06:55
GR3A wrote:
Testing numbers here may get you confuse.
If we say that, small rectangle has Length and width = 1 and then area of 1, and the larger will have 2*4=8
yeah here difference is 7.
However, let pick different numbers lets say small has length of 2 and width of 1 = area= 2 and larger will have 4*2=8 and here the difference will be 6!
Can anyone please elaborate on this?

I agree I also chose values like L= 2 and W=3 for smaller rectangle and 2L = 2*2=4, W=3*4=12
Area of small rectangle = 2*3 = 6
Area of Large rectangle = 4*12=48

48/6=8 option D is answer..why its incorrect?
_________________

Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!

Founder
Joined: 18 Apr 2015
Posts: 13918
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3687 [0], given: 12942

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  14 Jul 2020, 10:02
Expert's post
Manager
Joined: 02 Sep 2019
Posts: 69
Concentration: Finance
GRE 1: Q151 V148
GPA: 3.14
Followers: 1

Kudos [?]: 39 [0], given: 21

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  14 Jul 2020, 13:47
Carcass wrote:
I do not see the difficulty in picking numbers in this question. The conceptual approach by pranab and brent is the best though

Small area is L=15 and W=5

Big area is L=30 and W=20

Small area is 75 and big area is 600

$$\frac{600}{75}=8$$

Ok i was confused since some said that the answer is C. and i googled the question and found the same answer as C!
Logically D is make sense
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Followers: 2

Kudos [?]: 137 [0], given: 300

A farmer has two rectangular fields. Field N has 6 times the [#permalink]  08 Sep 2020, 03:35
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?

A. 2A

B. 2.5A

C. 3A

D. 4A

E. 5A
_________________

Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!

Founder
Joined: 18 Apr 2015
Posts: 13918
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3687 [0], given: 12942

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  08 Sep 2020, 04:43
Expert's post
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Followers: 2

Kudos [?]: 137 [0], given: 300

Re: A farmer has two rectangular fields. The larger field has [#permalink]  12 Sep 2020, 06:56
Carcass wrote:
Please,before to post a question, use the search button.

Most likely we do have all the questions of the GRE world

Regards

@Carcass its a different question and a different source also
_________________

Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!

Last edited by Farina on 12 Sep 2020, 23:57, edited 1 time in total.
Founder
Joined: 18 Apr 2015
Posts: 13918
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3687 [0], given: 12942

Re: A farmer has two rectangular fields. The larger field has tw [#permalink]  12 Sep 2020, 08:07
Expert's post
Re: A farmer has two rectangular fields. The larger field has tw   [#permalink] 12 Sep 2020, 08:07
Display posts from previous: Sort by