 It is currently 20 Mar 2019, 20:28 ### 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. # In rectangle ABCD, side DC is divided into five equal segmen  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator  Joined: 18 Apr 2015
Posts: 5835
Followers: 93

Kudos [?]: 1143 , given: 5441

In rectangle ABCD, side DC is divided into five equal segmen [#permalink]
Expert's post 00:00

Question Stats: 90% (00:35) correct 9% (00:03) wrong based on 21 sessions
Attachment: rectangle.jpg [ 19.11 KiB | Viewed 1034 times ]

In rectangle ABCD, side DC is divided into five equal segments by points P,Q,R and S

 Quantity A Quantity B The area of ∆MCQ The area of ∆NSP

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation
[Reveal] Spoiler: OA

_________________ Manager Joined: 25 Nov 2017
Posts: 51
Followers: 0

Kudos [?]: 41  , given: 5

Re: In rectangle ABCD, side DC is divided into five equal segmen [#permalink]
1
KUDOS
So let's say that the lenghth of Dc is 10 and then it follows that each point is 2.
The base of triangle NPS is comprised of 4 points inclusive so the length must be 6.
The triangle QMC is also comprised of 4 points which gives us the same base: 6.
Now we need to find the height. We can draw a height for triangle NPS which would be equal to the wide of the rectangle.
For triangle QMC we can draw a height from the line DC to the point M for example and it would have the same wide as the rectangle.

Therefore C of I am right

If nothing is indicated regarding point M and N lying on segment AB, can we assume according to the graphic that they are effectively on the segment ??? Intern Joined: 04 Jun 2016
Posts: 3
Followers: 0

Kudos [?]: 3  , given: 1

Re: In rectangle ABCD, side DC is divided into five equal segmen [#permalink]
1
KUDOS
We know if two triangle stands on base of same length and enclosed within two parallel lines than triangles are equal.hnsere both triangles have same base length.
So ans is C Manager  Joined: 26 Jun 2017
Posts: 104
Followers: 0

Kudos [?]: 39  , given: 38

Re: In rectangle ABCD, side DC is divided into five equal segmen [#permalink]
1
KUDOS
A very simple question if one has a critical thinking and knows that formula of triangle's area. / 1/2 a*h /. Both triangle's heights are the same, cause they both derive from the same origin and are perpendicular to the length of the rectangle. Moreover, the interval of their segments is also the same -- 3. Therefore, one can logically conclude that both triangles have the same area.
_________________

What you think, you become. Re: In rectangle ABCD, side DC is divided into five equal segmen   [#permalink] 30 Dec 2017, 11:07
Display posts from previous: Sort by

# In rectangle ABCD, side DC is divided into five equal segmen  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.