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

 It is currently 20 Oct 2019, 02:42 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.  The figure shown above represents a modern painting that consists of f

 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: 58443
The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

2
24 00:00

Difficulty:   15% (low)

Question Stats: 81% (01:58) correct 19% (02:19) wrong based on 1247 sessions

HideShow timer Statistics The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 40

Kudos for a correct solution.

Attachment: 2015-10-19_0007.png [ 5.85 KiB | Viewed 18284 times ]

_________________
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

8
3
Bunuel wrote: The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 40

Kudos for a correct solution.

Attachment:
2015-10-19_0007.png

Let’s begin by sketching the given diagram. We can also add in the appropriate dimensions to each side. From the diagram we can create an equation:

l = w + w + w

l= 3w

We also know that the area is 4,800 square inches. Using the dimensions from our diagram and the formula for the area of a rectangle, we can say:

l(w + l) = 4,800

Since l = 3w, we can substitute 3w for l in the area equation l(w + l) = 4,800. Thus, we have:

3w(w + 3w) = 4,800

3w(4w) = 4,800

12w^2 = 4,800

w^2 = 400

w = ±20

Because we are dealing with a measurement, we disregard w = -20 as a solution. Thus, the width of each rectangle is 20 inches.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager  Joined: 11 Sep 2013
Posts: 105
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

10
2
Bunuel wrote: The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 40

Kudos for a correct solution.

Attachment:
2015-10-19_0007.png

As shown in Figure, l = 3w

The area of each small rectangle = l*w = 4,800/4 = 12*100

=> 3w*w = 12*100

=> w = 20

Ans: B
General Discussion
Manager  P
Joined: 01 Mar 2015
Posts: 69
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

1
Bunuel wrote: The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 40

Kudos for a correct solution.

Attachment:
2015-10-19_0007.png

we have l = 3w

so area of rectangle = l * (l + w) = 4800
=> 3w ( 3w + w) = 4800
=> 12 w^2 = 4800
=> w^2 = 400
=> w = 20 (taking +ve value)

Senior Manager  G
Joined: 24 Nov 2015
Posts: 490
Location: United States (LA)
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

from the figure we can see that l = 3w
4 rectangles have a combined area 4lw = 4800
therefore lw=1200
substituting l = 3w in above equation
3w^2=1200
w^2 = 400
taking positive square roots
w= 20

CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

2
Bunuel wrote: The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 40

Kudos for a correct solution.

Attachment:
2015-10-19_0007.png

Observation 1: ℓ = 3w
Observation 2: ℓ*(ℓ+w) = 4800

i.e. 3w*(3w+w) = 4800

i.e. 12w^2 = 4800

i.e. w^2 = 400

i.e. w = 20 and ℓ = 60

_________________
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
Intern  Joined: 16 Mar 2016
Posts: 3
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

how can you say that l=3w?
Senior Manager  G
Joined: 24 Nov 2015
Posts: 490
Location: United States (LA)
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

1
andreroma wrote:
how can you say that l=3w?

As you can see from the figure 3 small rectangles stacked in a linear fashion (horizontal ones where length appears to be bigger)
3 small widths = 3w (addition of three widths of the 3 above mentioned rectangles)
As can be figured out from the larger rectangle the addition of 3 smaller widths correspond to length of the remaining smaller rectangle
Therefore l=3w can be deduced

Hope the explaination helps
+1 kudos if you like it
VP  P
Joined: 07 Dec 2014
Posts: 1224
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

equation 1: (l+w)(3w)=4800
equation 2: 4lw=4800➡l=1200/w
substituting for l in equation 1,
(1200/w+w)(3w)=4800
w=20
Current Student D
Joined: 12 Aug 2015
Posts: 2567
Schools: Boston U '20 (M)
GRE 1: Q169 V154 Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

This is a great question...One of the best questions in the official guide ..
Here => area => l^2+lw =4800 and l=3w => 12w^2 =4800 => w=20.
hence B
_________________
Intern  Joined: 23 Mar 2016
Posts: 24
Schools: Tulane '18 (M\$)
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

Good stuff, gotta recognize a simple pattern here to solve in 30 seconds

the image shows you that l=3w

given, A of all = 4800. 4 pieces of equal length means then that lw = 1200

l=3w
lw=1200
3w(w)=1200
3w^2 = 1200
w^2 = 400
w=20 (cannot be -20, we are in feasibility mode here)
IIMA, IIMC School Moderator V
Joined: 04 Sep 2016
Posts: 1366
Location: India
WE: Engineering (Other)
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

Bunuel Engr2012 shashankism

Can you help to understand flaw in below approach:
it is clear that the figure consists of one vertical rectangle and three horizontal rectangles.

Step 1: for all three horizontal rectangles area = 3 (l * w)
Step 2: for one vertical rectangles area = l*w

so total area of figure = 4 l* w (summation of above steps) which is given as 4800 as per Q stem.

We need two variables or need to express l / w in terms of another. Here is where I got stuck and could not proceed.

WR,
Arpit
_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!!
Non-Human User Joined: 09 Sep 2013
Posts: 13300
Re: The figure shown above represents a modern painting that consists of f  [#permalink]

Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: The figure shown above represents a modern painting that consists of f   [#permalink] 03 Sep 2019, 13:41
Display posts from previous: Sort by

The figure shown above represents a modern painting that consists of f

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

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