GMAT Changed on April 16th - Read about the latest changes here

It is currently 26 Apr 2018, 10:11

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Square PQRS is in a rectangular coordinate plane, and has opposite ver

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44651
Square PQRS is in a rectangular coordinate plane, and has opposite ver [#permalink]

Show Tags

New post 11 Dec 2017, 23:13
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

96% (00:28) correct 4% (00:36) wrong based on 26 sessions

HideShow timer Statistics

Square PQRS is in a rectangular coordinate plane, and has opposite vertices at points P (4,4) and R (–4,–4). What is the area of square PQRS?

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2449
Location: India
GPA: 3.12
Premium Member CAT Tests
Square PQRS is in a rectangular coordinate plane, and has opposite ver [#permalink]

Show Tags

New post 12 Dec 2017, 14:10
Since the Square PQRS has opposite vertices at points P (4,4) and R (–4,–4), the line PR will
be the length of the diagonal of the square can be found using the below given formula :

Distance between two points = \(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)

*where (x1,y1) and (x2,y2) are the two points.

The length of the diagonal is \(\sqrt{(-4-4)^2 + (-4-4)^2} = \sqrt{64+64} = \sqrt{128} = 8\sqrt{2}\)

The side of the square is \(\frac{diagonal}{\sqrt{2}} = 8\)

Therefore, the area of the square is \(side^2 = 8^2 = 64\)(Option E)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1571
Premium Member CAT Tests
Square PQRS is in a rectangular coordinate plane, and has opposite ver [#permalink]

Show Tags

New post 12 Dec 2017, 15:14
Bunuel wrote:
Square PQRS is in a rectangular coordinate plane, and has opposite vertices at points P (4,4) and R (–4,–4). What is the area of square PQRS?

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

The sides of a square are equal, so use just one pair of x- or y-coordinates to find the length of one side.

Distance between vertices = length of side:
Subtract x- OR y-coordinates

P's x-coordinate is 4. R's x-coordinate is -4.
4 - (-4) = 8 = length of side

Area = \(s^2 = 8^2 = 64\)

Answer E

*Parallel and perpendicular sides result in vertices that
lie on the same horizontal or vertical line.

Hence the distance between two vertices of a square in the xy-plane equals one vertex's x- or y-coordinate minus the other vertex's corresponding coordinate.

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Square PQRS is in a rectangular coordinate plane, and has opposite ver   [#permalink] 12 Dec 2017, 15:14
Display posts from previous: Sort by

Square PQRS is in a rectangular coordinate plane, and has opposite ver

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.