[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1525: Undefined array key "topic_tags_visibility"
[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1526: Undefined array key "timer_statistics_visibility"
AC and BD are diagonals of rectangle ABCD. : Quantitative Comparison Questions

Last visit was: 22 Jul 2024, 15:56 It is currently 22 Jul 2024, 15:56

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: 29147
Own Kudos [?]: 34186 [1]
Given Kudos: 25534
Send PM
Intern
Intern
Joined: 26 Jun 2023
Posts: 12
Own Kudos [?]: 7 [2]
Given Kudos: 7
Send PM
Intern
Intern
Joined: 01 Jul 2023
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 60
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29147
Own Kudos [?]: 34186 [0]
Given Kudos: 25534
Send PM
Re: AC and BD are diagonals of rectangle ABCD. [#permalink]
Expert Reply
OE


For the given rectangle, through the point of intersection of two diagonals AC and DB, draw a line parallel to AD and BC and draw a line parallel to AB and DC. Now, as these two lines are parallel to the horizontal and vertical lines of outer
rectangle, we can say that the outer rectangle ABCD has been divided into four smaller rectangles.

All four smaller rectangles have equal area. AO, BO, CO and DO are the diagonals of four smaller rectangles. Every diagonal AO, BO, CO and DO further divides area of rectangle into two equal parts. So, for every smaller rectangle area of shaded region is equal to area of unshaded region.

Based on this we can say area of total shaded region is equal to area of total unshaded region. Hence, Quantity A is equal to Quantity B because Quantity A is area of shaded portion and Quantity B is area of unshaded portion.

Ans. (C)
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 4661
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
Re: AC and BD are diagonals of rectangle ABCD. [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
Re: AC and BD are diagonals of rectangle ABCD. [#permalink]
Moderators:
GRE Instructor
52 posts
GRE Forum Moderator
29 posts
Moderator
1093 posts
GRE Instructor
218 posts

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