Last visit was: 24 Jul 2024, 14:15 It is currently 24 Jul 2024, 14:15
Toolkit
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 the coordinate plane, rectangle WXYZ has vertices at (–2, –1), (–2,

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94609
Own Kudos [?]: 643635 [2]
Given Kudos: 86737
Senior SC Moderator
Joined: 22 May 2016
Posts: 5325
Own Kudos [?]: 35783 [1]
Given Kudos: 9464
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3710
Own Kudos [?]: 17364 [0]
Given Kudos: 165
Director
Joined: 01 Oct 2017
Status:Learning stage
Posts: 822
Own Kudos [?]: 1375 [0]
Given Kudos: 41
WE:Supply Chain Management (Energy and Utilities)
Re: In the coordinate plane, rectangle WXYZ has vertices at (–2, –1), (–2, [#permalink]
Bunuel wrote:
In the coordinate plane, rectangle WXYZ has vertices at (–2, –1), (–2, y), (4, y), and (4, –1). If the area of WXYZ is 18, what is the length of its diagonal?

A) $$3 \sqrt{2}$$

B) $$3 \sqrt{3}$$

C) $$3 \sqrt{5}$$

D) $$3 \sqrt{6}$$

E) $$3 \sqrt{7}$$

Given, Area of the rectangle=Length*Breadth=18 sq. unit
or,{4-(-2)}*Breadth=18 (Since the the ordinate 'y' remains constant and position of abscissa varies from -2 to 4)
Now. length of diagonal=$$\sqrt(Length^2$$+$$breadth^2$$)=$$\sqrt(6^2$$+$$3^2$$)=$$\sqrt(36$$+$$9$$)=$$\sqrt(45)$$=3$$\sqrt5$$

So, the correct answer choice is (C)
Non-Human User
Joined: 09 Sep 2013
Posts: 34076
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: In the coordinate plane, rectangle WXYZ has vertices at (–2, –1), (–2, [#permalink]
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.
Re: In the coordinate plane, rectangle WXYZ has vertices at (–2, –1), (–2, [#permalink]
Moderator:
Math Expert
94609 posts