Last visit was: 25 Nov 2024, 12:08 It is currently 25 Nov 2024, 12:08

Close

GRE Prep 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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
Intern
Intern
Joined: 01 Jan 2021
Posts: 5
Own Kudos [?]: 4 [1]
Given Kudos: 5
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30023
Own Kudos [?]: 36397 [0]
Given Kudos: 25929
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30023
Own Kudos [?]: 36397 [0]
Given Kudos: 25929
Send PM
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
A thin strip [#permalink]
1
SamaunParvez wrote:
A thin strip of binding 30 feet long just fits around the perimeter of a rectangular rug that covers an area of 54 square feet.


Quantity A
Quantity B
The length of the longer side of the rug
10 feet


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Let the length of the longer side be \(L\) and that of shorter side be \(B\)

Given, \( LB = 54\) and \(2(L + B) = 30\)

\(B = \frac{54}{L}\)

\(L + B = 15\)

\(L + \frac{54}{L} = 15\)

\(L^2 - 15L + 54 = 0\)

\((L - 9)(L - 6) = 0\)

\(L = 9\) or \(L = 6\)

NOTE: \(L\) cannot be \(6\) - because it will make \(B\) as \(9\) where \(L < B\)

Col. A: \(9\)
Col. B: \(10\)

Hence, option B
Prep Club for GRE Bot
A thin strip [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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