Find all School-related info fast with the new School-Specific MBA Forum

It is currently 02 Oct 2014, 03:05

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Area of shaded region_PS

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 01 Sep 2009
Posts: 38
Followers: 0

Kudos [?]: 15 [0], given: 0

Area of shaded region_PS [#permalink] New post 28 Nov 2009, 03:18
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (02:43) correct 0% (00:00) wrong based on 1 sessions
A square of side 2 cms (1+1) is given. Find the area of the shaded region?
Attachments

Area Of Shaded.JPG
Area Of Shaded.JPG [ 11.4 KiB | Viewed 880 times ]

Manager
Manager
avatar
Joined: 19 Nov 2007
Posts: 228
Followers: 1

Kudos [?]: 89 [0], given: 1

Re: Area of shaded region_PS [#permalink] New post 28 Nov 2009, 05:33
The area of each of the colored triangle is 1/2*1/2*1 =1/4

There are four such triangles so total area of the colored region is 1
Intern
Intern
avatar
Joined: 01 Sep 2009
Posts: 38
Followers: 0

Kudos [?]: 15 [0], given: 0

Re: Area of shaded region_PS [#permalink] New post 28 Nov 2009, 10:14
nope buddy,
how can you prove that base of triangle is 1/2 ???
Senior Manager
Senior Manager
User avatar
Joined: 21 Jul 2009
Posts: 367
Schools: LBS, INSEAD, IMD, ISB - Anything with just 1 yr program.
Followers: 14

Kudos [?]: 100 [0], given: 22

Re: Area of shaded region_PS [#permalink] New post 28 Nov 2009, 13:44
Attachment:
clubQuestions.JPG
clubQuestions.JPG [ 13.52 KiB | Viewed 835 times ]


Consider Right tri'gle HFC. We have to figure out if R is mid-point of OG.

Two right tri'gles HFC and HOR are similar triangles by angle-side-angle (asa) property.
1) Angle RHO is same as Angle CHF.
2) HO and HF are in straight line, given that O is mid-point of HF, HO/HF = 1/2.
3) Angle HOR is same as Angle HFC = 90 degree.

So HO/HF = HR / HC = OR / FC = 1/2.
Hence, OR is half of FC. And OG = FC = 1. Therefore, R is mid-point of OG.

You can take it from here.
_________________

I am AWESOME and it's gonna be LEGENDARY!!!

Manager
Manager
avatar
Joined: 19 Nov 2007
Posts: 228
Followers: 1

Kudos [?]: 89 [0], given: 1

Re: Area of shaded region_PS [#permalink] New post 28 Nov 2009, 18:59
brothers wrote:
nope buddy,
how can you prove that base of triangle is 1/2 ???


And also, as Square HOGD and Square OGSF are congruent and occupy exactly half the area of the rectangle HDFC. The diagonal HC cuts OG exactly at the mid point.
Re: Area of shaded region_PS   [#permalink] 28 Nov 2009, 18:59
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic What is the area of the shaded region? joshoowa 2 01 Mar 2014, 19:44
1 area of shaded region xcusemeplz2009 7 10 Dec 2009, 20:08
2 What is the area of the shaded figure? mendelay 8 24 Aug 2009, 08:28
The shaded area is what percentage of the area of the jallenmorris 27 03 Jul 2008, 18:23
PS - Area of shaded region vikramm 14 14 Oct 2005, 21:04
Display posts from previous: Sort by

Area of shaded region_PS

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.