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

 It is currently 16 Dec 2018, 05:10

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

December 16, 2018

December 16, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT Prep Hour

December 16, 2018

December 16, 2018

03:00 PM EST

04:00 PM EST

Strategies and techniques for approaching featured GMAT topics

# A rectangular field is 400 feet long and 300 feet wide. If a square fi

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51223
A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

17 Jul 2018, 23:52
00:00

Difficulty:

5% (low)

Question Stats:

100% (00:38) correct 0% (00:00) wrong based on 30 sessions

### HideShow timer Statistics

A rectangular field is 400 feet long and 300 feet wide. If a square field has, the same perimeter as the rectangular field, what is the length, in feet, of each side of the square field?

(A) 175

(B) 350

(C) $$200 \sqrt{2}$$

(D) $$350 \sqrt{2}$$

(E) $$100 \sqrt{3}$$

_________________
Intern
Joined: 19 Oct 2015
Posts: 17
Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

18 Jul 2018, 00:03
Perimeter of Rectangular field is 2(length+width) i.e 1400.
Similarly perimeter of square is 4×side of sq.
Therefore side =1400/4
=350.

Posted from my mobile device
SC Moderator
Joined: 30 Jan 2015
Posts: 670
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

18 Jul 2018, 00:11
+1 for B.

Given,
Perimeter of Rectangular field = Perimeter of Square field
2(L + W) = 4*L
1400 = 4*L
L =1400/4
=350

Hence, B.
_________________

The few, the fearless !

Thanks

Senior Manager
Joined: 07 Jul 2012
Posts: 377
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

18 Jul 2018, 00:14
Perimeter of Square= Perimeter of rectangle
4s= 2(400+300) (s= side of square)
4s= 2*700= 1400
s= $$\frac{1400}{4}$$= 350

_________________

Kindly hit kudos if my post helps!

Director
Joined: 31 Oct 2013
Posts: 883
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

18 Jul 2018, 00:21
Bunuel wrote:
A rectangular field is 400 feet long and 300 feet wide. If a square field has, the same perimeter as the rectangular field, what is the length, in feet, of each side of the square field?

(A) 175

(B) 350

(C) $$200 \sqrt{2}$$

(D) $$350 \sqrt{2}$$

(E) $$100 \sqrt{3}$$

Perimeter of the Rectangular field : 2*400 + 2*300 =1400

Perimeter pf the square field = 4x, where x is the leg of the square.

So, 4x = 1400

x= 350.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2313
Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

18 Jul 2018, 02:34

Solution

Given:

• A rectangular field is 400 feet long and 300 feet wide.
• A square field has the same perimeter as the rectangular field.

To find:

• The length, in feet, of each side of the square field.

Approach and Working:

• Perimeter of rectangular field= 2(400+300)= 1400
• Let side length of the square is ‘a’ feet. Then.
o 4a= 1400= 14*100
o a=14*25= 350

Hence, the correct answer is option B.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4277
Location: India
GPA: 3.5
Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

18 Jul 2018, 07:13
Bunuel wrote:
A rectangular field is 400 feet long and 300 feet wide. If a square field has, the same perimeter as the rectangular field, what is the length, in feet, of each side of the square field?

(A) 175

(B) 350

(C) $$200 \sqrt{2}$$

(D) $$350 \sqrt{2}$$

(E) $$100 \sqrt{3}$$

$$2(l+b) = 4a$$

Or, $$a = \frac{( l + b)}{2}$$

So, Each side of a square is $$\frac{400 + 300}{2} = 350$$ , Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4295
Location: United States (CA)
Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

### Show Tags

22 Jul 2018, 17:08
Bunuel wrote:
A rectangular field is 400 feet long and 300 feet wide. If a square field has, the same perimeter as the rectangular field, what is the length, in feet, of each side of the square field?

(A) 175

(B) 350

(C) $$200 \sqrt{2}$$

(D) $$350 \sqrt{2}$$

(E) $$100 \sqrt{3}$$

If we let s = a side of the square field, then the perimeter of the square field is 4s. The perimeter of the rectangular field is 2(400) + 2(300) = 1400. Since the two fields have the same perimeter, we have:

4s = 1400

s = 350

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi &nbs [#permalink] 22 Jul 2018, 17:08
Display posts from previous: Sort by