Last visit was: 24 Nov 2024, 17:10 It is currently 24 Nov 2024, 17:10

Close

GRE Prep 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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30018
Own Kudos [?]: 36379 [6]
Given Kudos: 25928
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2273 [4]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
avatar
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 133 [0]
Given Kudos: 0
Send PM
User avatar
Director
Director
Joined: 22 Jun 2019
Posts: 521
Own Kudos [?]: 711 [0]
Given Kudos: 161
Send PM
Re: In the figure, ABCD and BECD are parallelograms. [#permalink]
Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project



Attachment:
#GREpracticequestion In the figure, ABCD and BECD are parallelograms.jpg


In the figure, ABCD and BECD are parallelograms.

Quantity A
Quantity B
Area of parallelogram ABCD
Area of parallelogram BECD


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.



We know that a diagonal of a parallelogram cuts the parallelogram into two triangles of equal area.

Since BD is a diagonal of parallelogram ABCD, the area of the parallelogram equals twice the area of either of the two equal triangles ∆ABD or ∆DBC.

Hence, Column A = 2(area of ∆DBC). Similarly, since BC is a diagonal of parallelogram BECD, the area of the parallelogram BECD is 2(area of ∆DBC).

Thus, both columns equal 2(area of ∆DBC), and the answer is (C)
Intern
Intern
Joined: 11 Sep 2023
Posts: 43
Own Kudos [?]: 24 [0]
Given Kudos: 5
GRE 1: Q155 V141
Send PM
Re: In the figure, ABCD and BECD are parallelograms. [#permalink]
Since the base and height of both the parallelograms is same, their are is same.
Prep Club for GRE Bot
Re: In the figure, ABCD and BECD are parallelograms. [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne