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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: What is the area of the shaded figure? [#permalink]
24 Aug 2009, 11:36

My answer is A.

I split the graph in two right triangles. One triangle with angles 45-45-90, another with angles 60-30-90.

In triangle, 45-45-90, the length of the sides are in ratio 1:1:2^(1/2) In triangle, 30-60-90, the length of the sides are in ratio 1:3^(1/2):2. Using this I figured out area of each triangle and then the total.

Re: What is the area of the shaded figure? [#permalink]
24 Aug 2009, 21:03

LenaA wrote:

My answer is A.

I split the graph in two right triangles. One triangle with angles 45-45-90, another with angles 60-30-90.

In triangle, 45-45-90, the length of the sides are in ratio 1:1:2^(1/2) In triangle, 30-60-90, the length of the sides are in ratio 1:3^(1/2):2. Using this I figured out area of each triangle and then the total.

Quite Right LenaA! A it is. _________________

GMAT offended me. Now, its my turn! Will do anything for Kudos! Please feel free to give one.

Re: What is the area of the shaded figure? [#permalink]
04 Jun 2012, 04:43

2

This post received KUDOS

Hi,

The figure can be split into two triangles: tri(ABE) & tri(DCE)

Assuming \(CE=DE=x\)(since angle C = 45) \(CD = \sqrt{2}x = \sqrt{2} + \sqrt{2}/2\) or \(x =3/2\)

\(area(DCE) = (1/2)*x^2=1/2*3/2*3/2=9/8\)

Now, in tri(ABE) \(AE = AD-x=\sqrt{3}/2\) ratio of sides opposite to angles \(30:60:90=1:\sqrt{3}:2\) Thus, BE=1/2 \(area(ABE)=1/2*AE*BE=1/2*\sqrt{3}/2*1/2=\sqrt{3}/8\)

area of the figure = area(ABE)+area(DCE)=\((9+\sqrt{3})/8\)

Re: What is the area of the shaded figure? [#permalink]
14 Nov 2013, 11:34

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: What is the area of the shaded figure? [#permalink]
31 Jan 2014, 08:20

mendelay wrote:

What is the area of the shaded figure?

Nice question we need to know both triangles thr 45-45-90 and 30-60-90, these are a MUST

Now the first triangle is the 45-45-90 so the hipothenuse is sqrt (2) + sqrt (2)/2

Therefore the side is 3/2 and area is 9/8

Now for the second triangle we need to subtract 3/2 from (3+sqrt (3)/2) and we get that the side opposite to 60 degrees is sqrt 3/2). Therefore side is 1/2 and area is sqrt (3) /8

Re: What is the area of the shaded figure? [#permalink]
07 Feb 2015, 05:45

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. _________________

The Stanford interview is an alumni-run interview. You give Stanford your current address and they reach out to alumni in your area to find one that can interview you...

Originally, I was supposed to have an in-person interview for Yale in New Haven, CT. However, as I mentioned in my last post about how to prepare for b-school interviews...

Interested in applying for an MBA? In the fourth and final part of our live QA series with guest expert Chioma Isiadinso, co-founder of consultancy Expartus and former admissions...