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

 It is currently 17 Jun 2018, 18:29

### 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 June
Open Detailed Calendar

# The perimeter of a rectangular patio is 268 feet and its length is 168

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46035
The perimeter of a rectangular patio is 268 feet and its length is 168 [#permalink]

### Show Tags

09 Jun 2018, 00:12
00:00

Difficulty:

(N/A)

Question Stats:

97% (01:06) correct 3% (02:54) wrong based on 29 sessions

### HideShow timer Statistics

The perimeter of a rectangular patio is 268 feet and its length is 168% of its width. What is the area of the patio, in square feet?

(A) 4,000
(B) 4,200
(C) 4,320
(D) 4,600
(E) 4,760

_________________
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2797
Location: India
GPA: 3.12
Re: The perimeter of a rectangular patio is 268 feet and its length is 168 [#permalink]

### Show Tags

09 Jun 2018, 00:38
Bunuel wrote:
The perimeter of a rectangular patio is 268 feet and its length is 168% of its width. What is the area of the patio, in square feet?

(A) 4,000
(B) 4,200
(C) 4,320
(D) 4,600
(E) 4,760

If the width of the rectangular patio is x, the length(which is 168% the width) is 1.68x

We know that the perimeter of the patio is 268.
$$2(x + 1.68x) = 268$$ --> $$5.36x = 268$$ --> $$x = \frac{268*100}{536} = \frac{100}{2} = 50$$

Therefore, the area of the rectangular patio is $$1.68*x^2 = 1.68*2500$$ = 4200(Option B)

_________________

You've got what it takes, but it will take everything you've got

Manager
Joined: 11 Apr 2018
Posts: 85
Location: India
WE: Information Technology (Computer Software)
Re: The perimeter of a rectangular patio is 268 feet and its length is 168 [#permalink]

### Show Tags

09 Jun 2018, 01:30
Given that Perimeter of the rectangular patio is 268 feet.
Let length be L feet and breadth be B feet.
This implies 2L + 2B = 268 or L + B = 134. ---> 1
It is also given that L = 168% of W. This mean $$L =\frac{168}{100}B$$. Which can be further implied as $$\frac{L}{W} = \frac{42}{25}$$. So, L = 42k and B=25k.
Substituting in equation 1.
42k +25k = 134. =>k=2.
L = 42k = 42x2= 84.
B = 25k = 25x2 = 50.
Area of rectangle = L X B = 84 X 50 = 4200.
The correct answer is Option B.
Manager
Status: Asst. Manager
Joined: 01 Oct 2017
Posts: 87
Location: India
Concentration: Operations, Entrepreneurship
GPA: 4
WE: Supply Chain Management (Energy and Utilities)
Re: The perimeter of a rectangular patio is 268 feet and its length is 168 [#permalink]

### Show Tags

09 Jun 2018, 04:58
Bunuel wrote:
The perimeter of a rectangular patio is 268 feet and its length is 168% of its width. What is the area of the patio, in square feet?

(A) 4,000
(B) 4,200
(C) 4,320
(D) 4,600
(E) 4,760

Given, 2(L+W)=268 feet
Or, 2(1.68W+W)=268
Or, 2.68W=$$\frac{268}{2}$$
Or, W=$$\frac{268}{2*2.68}$$ feet

Area of rectangular patio=L*W=1.68*$$\frac{268}{2*2.68}$$*$$\frac{268}{2*2.68}$$=$$1.68*\frac{100}{4}*\frac{100}{4}$$=4200 sq. feet

_________________

Regards,

PKN

Rise above the storm, you will find sunshine

Re: The perimeter of a rectangular patio is 268 feet and its length is 168   [#permalink] 09 Jun 2018, 04:58
Display posts from previous: Sort by