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 500,000 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: In the rectangle above, A is the midpoint of the side, and [#permalink]

Show Tags

15 Aug 2011, 06:58

1

This post was BOOKMARKED

Consider this, area for triangle is BH/2.

the two bigger triangles have the same B & H, the three small triangles have the same base and height. thus we can say the three smaller triangles or the 2 larger are equal. with (1) or (2) we can see the area of the full rectangle is 96.

Re: In the rectangle above, A is the midpoint of the side, and [#permalink]

Show Tags

15 Aug 2011, 08:08

DeeptiM wrote:

well u wld hve to b a lil patient wid me...

somehow um still unclear with the explanation

D from my side.

1. Area of rectangle = 2*2*Area(AOB) - Suff. 2. Area of rectangle = 2*3*Area COD (because Area BOC= Area COD= Area DOC) - Suff.

Hope it helps.

Cheers, Aj.
_________________

----------------------------------------------------------------------------------------- What you do TODAY is important because you're exchanging a day of your life for it! -----------------------------------------------------------------------------------------

Re: In the rectangle above, A is the midpoint of the side, and [#permalink]

Show Tags

15 Aug 2011, 08:40

3

This post received KUDOS

1

This post was BOOKMARKED

DeeptiM wrote:

In the rectangle above, A is the midpoint of the side, and BC=CD=DE. What is the area of the rectangle? (1) The area of the shaded region is 24. (2) The area of triangle CDO is 16.

I got the answer but need a more concise approach..

Attachment:

Geomtery_Median_DS.JPG

Let's call the vertex diagonally opposite of E as F.

1. OA is the median of \(\triangle OBF\), because A is the mid-point of FB. A median divides a triangle in two-halves such that the areas of two newly formed triangles are equal.

In the rectangle above, A is the midpoint of the side, and BC = CD = DE. What is the area of the rectangle?

The area of a rectangle is (width)*(length).

Notice that since A is the midpoint of the width of the rectangle, then AB = (width)/2 Also, since BC = CD = DE, then CD = (length)/3.

(1) The area of the shaded region is 24. The area of the shaded triangle = 1/2*BE*AB = 1/2*(length)*(width)/2 = 24 --> (length)*(width) = 96. Sufficient.

(2) The area of triangle CDO is 16. The area of triangle CDO = 1/2*OE*CD = 1/2*(width)*(length)/3 = 16 --> (width)*(length) = 96. Sufficient.

Re: In the rectangle above, A is the midpoint of the side, and [#permalink]

Show Tags

14 Nov 2015, 16:31

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.
_________________

In the rectangle above, A is the midpoint of the side, and [#permalink]

Show Tags

06 May 2016, 11:33

A question,

assume that the upper left vertice is called X. So according to 1) since B is the mid point, would it be correct to assume that the shaded region has the same area as AXO? So the shaded region is 1/4th of the whole rectangle.

Same goes to 2) since the base is 1/3rd of the length, so the region CDO is 1/3rd of the "lower" right triangle BOE and 1/6th of the rectangle.

Re: In the rectangle above, A is the midpoint of the side, and [#permalink]

Show Tags

23 Sep 2017, 10:54

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.
_________________