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

 It is currently 22 Oct 2019, 07:23 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

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 width and wh

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58432
What is the area of a rectangle whose length is twice its width and wh  [#permalink]

Show Tags 00:00

Difficulty:   25% (medium)

Question Stats: 78% (01:36) correct 22% (01:48) wrong based on 29 sessions

HideShow timer Statistics

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) $$\frac{8}{9}$$

_________________
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: What is the area of a rectangle whose length is twice its width and wh  [#permalink]

Show Tags

Bunuel 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) $$\frac{8}{9}$$

l = 2*w

Perimeter of the rectangle $$= 2*(l+w) = 4*1$$ (Side of square with area 1 will be 1)

i.e. $$(l+w) = 2$$

i.e. $$2w+w = 3w = 2$$

i.e. $$w = 2/3$$ and $$l = 4/3$$

Area of rectangle $$= l*w = (2/3)*(4/3) = 8/9$$

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5031
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: What is the area of a rectangle whose length is twice its width and wh  [#permalink]

Show Tags

Bunuel 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) $$\frac{8}{9}$$

l=2w
2*( l+w)= 4
6w=4
w=2/3
l=4/3
l*w= 8/9
IMO E
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3574
What is the area of a rectangle whose length is twice its width and wh  [#permalink]

Show Tags

Bunuel 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) $$\frac{8}{9}$$

This problem just requires meticulousness.

Start with the square. Find side length from area.

(1) area of square = 1
gives side length, $$s$$

Area of square = $$1=s^2$$
$$\sqrt{1}=\sqrt{s^2}$$
$$s=1$$

(2) Perimeter of square =
$$4s=(4*1)=4=$$
perimeter of rectangle

Use rectangle perimeter to find side lengths of rectangle.
From side lengths, find area.

(3) Perimeter of rectangle: side lengths?

Perimeter, $$P=4$$
$$2l+2w=P$$
$$2l+2w=4$$
$$2(l+w)=4$$ - (divide by 2)
$$(l+w)=2$$

The length of the rectangle is twice its width

$$l=2w$$
Substitute $$2w$$ for $$l$$

$$(l+w)=2$$
$$2w+w=2$$
$$3w=2$$
$$w=\frac{2}{3}$$
$$l=2w=(2*\frac{2}{3})=\frac{4}{3}$$

(4) Area, A, of rectangle?
$$A=l*w$$

$$A=(\frac{4}{3}*\frac{2}{3})=\frac{8}{9}$$

_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.

Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver What is the area of a rectangle whose length is twice its width and wh   [#permalink] 03 Feb 2019, 18:30
Display posts from previous: Sort by

What is the area of a rectangle whose length is twice its width and wh

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

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