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

 It is currently 15 Nov 2018, 09:05

# Join Chat Room for Live Updates

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# The shaded region in the figure above represents a rectangular frame

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50610
The shaded region in the figure above represents a rectangular frame  [#permalink]

### Show Tags

12 Sep 2018, 00:00
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:28) correct 29% (00:50) wrong based on 21 sessions

### HideShow timer Statistics

The shaded region in the figure above represents a rectangular frame with a length of 20 inches and a width of 16 inches. The frame encloses a rectangular picture that has same area as the frame itself. If the length and width of the picture have the same ratio as the length and width of the frame, what is the length of the picture, in inches?

A. $$5\sqrt{2}$$

B. $$\frac{5}{\sqrt{2}}$$

C. $$\frac{10}{\sqrt{2}}$$

D. 10

E. $$10\sqrt{2}$$

Attachment:

image019.gif [ 2.55 KiB | Viewed 397 times ]

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Re: The shaded region in the figure above represents a rectangular frame  [#permalink]

### Show Tags

12 Sep 2018, 01:25
Bunuel wrote:

The shaded region in the figure above represents a rectangular frame with a length of 20 inches and a width of 16 inches. The frame encloses a rectangular picture that has same area as the frame itself. If the length and width of the picture have the same ratio as the length and width of the frame, what is the length of the picture, in inches?

A. $$5\sqrt{2}$$

B. $$\frac{5}{\sqrt{2}}$$

C. $$\frac{10}{\sqrt{2}}$$

D. 10

E. $$10\sqrt{2}$$

Attachment:
image019.gif

Given, Area of frame =Area of picture
Area of frame =Area of bigger rectangular region - Area of picture
Or, Area of picture =1/2*20*16=160

Let l and w are the length and width of picture respectively.
Given l:w=20:16=5:4
Or, w=(4/5)*l

So area of picture=l*(4/5)*l=160
Or, $$l^2$$=200
Or, l=10$$\sqrt{2}$$

Ans. (E)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Joined: 04 Sep 2015
Posts: 510
Location: India
WE: Information Technology (Computer Software)
Re: The shaded region in the figure above represents a rectangular frame  [#permalink]

### Show Tags

14 Sep 2018, 12:01
Bunuel wrote:

The shaded region in the figure above represents a rectangular frame with a length of 20 inches and a width of 16 inches. The frame encloses a rectangular picture that has same area as the frame itself. If the length and width of the picture have the same ratio as the length and width of the frame, what is the length of the picture, in inches?

A. $$5\sqrt{2}$$

B. $$\frac{5}{\sqrt{2}}$$

C. $$\frac{10}{\sqrt{2}}$$

D. 10

E. $$10\sqrt{2}$$

Attachment:
image019.gif

Lw=20*16-lw
2lw=20*16=lw=160.

w/l=4/5

substitute l*l=200,

l=10root2.

Option E.
Re: The shaded region in the figure above represents a rectangular frame &nbs [#permalink] 14 Sep 2018, 12:01
Display posts from previous: Sort by