It is currently 20 Oct 2019, 11:41
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.

What is the area of a rectangle whose length is twice its wi

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 8485
Followers: 166

Kudos [?]: 1843 [0], given: 7861

CAT Tests
What is the area of a rectangle whose length is twice its wi [#permalink] New post 31 Jan 2019, 15:53
Expert's post
00:00

Question Stats:

71% (01:56) correct 28% (01:27) wrong based on 14 sessions
What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?

A) \(1\)

B) \(6\)

C) \(\frac{2}{3}\)

D) \(\frac{4}{3}\)

E) \(\frac{8}{9}\)
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos

Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 8485
Followers: 166

Kudos [?]: 1843 [0], given: 7861

CAT Tests
Re: What is the area of a rectangle whose length is twice its wi [#permalink] New post 23 Aug 2019, 01:09
Expert's post
The key information here from which is good to start is that

whose perimeter is equal to that of a square whose area is 1

PR (perimeter rectangle) = PS (perimeter square)

The area of the square is 1. Now to have a square area = 1, one side of the square must be 1 as well. Area square is \(1^2=1\)

So its perimeter is \(1 \times 4 = 4\); \(PS = 4\)

The area of a rectangle is \(PR = \ell \times w\)

In our case, the length is twice its width; \(PR = \ell + 2w + 2we + \ell = 2\ell + 4w\)

\ell = w

we do have that PR = 6w

\(PR=PS >>>>>>> 4 = 6w >>> w=\frac{4}{6} = \frac{2}{3}\)

\(2w = \frac{4}{3}\)

Area rectangle \(\ell \times w = \frac{4}{3} \times \frac{2}{3} = \frac{8}{9}\)
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos

1 KUDOS received
Intern
Intern
Joined: 23 Mar 2019
Posts: 27
Location: India
Followers: 0

Kudos [?]: 16 [1] , given: 1

Re: What is the area of a rectangle whose length is twice its wi [#permalink] New post 05 Sep 2019, 08:38
1
This post received
KUDOS
Carcass wrote:
What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?

A) \(1\)

B) \(6\)

C) \(\frac{2}{3}\)

D) \(\frac{4}{3}\)

E) \(\frac{8}{9}\)


Let length be l and breadth be b
Given that L=2B
For Square; side =1
so, its perimeter will be 4
Thus, 2(L+B)=4; which simplifies to B=2/3 (After plugging in L=2B)
Which implies; => L=4/3
Thus Area of rectangle=LxB => 8/9
Re: What is the area of a rectangle whose length is twice its wi   [#permalink] 05 Sep 2019, 08:38
Display posts from previous: Sort by

What is the area of a rectangle whose length is twice its wi

  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®.