Last visit was: 18 Sep 2024, 07:08 It is currently 18 Sep 2024, 07:08
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In the figure above, Rand Q are points on the x-axis. What is the area

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
GMATBusters
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1927
Own Kudos [?]: 5897 [42]
Given Kudos: 240
WE:General Management (Education)
Send PM
GMAT ToolKit User
In the figure above, Rand Q are points on the x-axis. What is the area [#permalink] In the figure above, Rand Q are points on the x-axis. What is the area   30 Nov 2018, 10:03
42
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

66% (01:28) correct 34% (01:30) wrong based on 982 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS

In the figure above, R and Q are points on the x-axis. What is the area of equilateral triangle PQR ?

(1) The coordinates of point Pare (6, \(2\sqrt{3}\)) .
(2) The coordinates of point Q are (8, 0).­


Show Spoiler
Attachment:
Fig.jpg
Fig.jpg [ 8.21 KiB | Viewed 10164 times ]
 ­
­
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
B
NCRanjan
Intern
Intern
Joined: 10 Sep 2018
Posts: 41
Own Kudos [?]: 54 [6]
Given Kudos: 72
Send PM
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink] In the figure above, Rand Q are points on the x-axis. What is the area   30 Nov 2018, 10:48
5
Kudos
Answer is A alone is sufficient
Drop a median ( PS) from P to X axis . since it is an equilateral triangle the median will be at 90 degrees on X axis and will be an angle bisector at P . Now this triangle PSR or PSQ are 30-60-90 triangles since we know PS - it is 2root3 we can find out QS and hence the base of the triangle . so we can find the area out

Coming to option B . well the equilaterla triange can have any base , it can be 8 , or 6 or 4 , or 7 and we have no clue about the height so it is not sufficient

A seems to be the answer
General Discussion
User avatar
G
kookies
Intern
Intern
Joined: 29 Apr 2018
Posts: 39
Own Kudos [?]: 294 [0]
Given Kudos: 328
Location: Korea, Republic of
Send PM
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink] In the figure above, Rand Q are points on the x-axis. What is the area   30 Nov 2018, 20:15
1) The coordinates of point P (6, 2 √3) .

as we know the height of the equilateral triangle: 2 √3, we can calculate the hypotenuse (PR), which enable to calculate the area of the equilateral triangle (4/√3 x (PR)^2). Sufficient

2)The coordinates of point Q are (8, 0)

Not able to calculate any of its length of the triangle. Not sufficient.

IMO: A is the answer
User avatar
D
dcummins
VP
VP
Joined: 14 Feb 2017
Posts: 1082
Own Kudos [?]: 2195 [1]
Given Kudos: 368
Location: Australia
Concentration: Technology, Strategy
Schools: INSEAD Sept'21 Intake (WA$) Melbourne (A$) AGSM (A$) Kellogg '23 (WL) Said '22 (A$) CBS '23 (D) Booth '23 (D) Anderson '23 (WL) Cambridge '22 (WL) LBS '23 (D) Stern '24 (WA)
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
GMAT 5: 600 Q38 V35
GMAT 6: 710 Q47 V41
WE:Management Consulting (Consulting)
Send PM
Reviews Badge
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink] In the figure above, Rand Q are points on the x-axis. What is the area   29 Sep 2019, 15:44
1
Bookmarks
This might help some people.

Statement (1) is sufficient as we are given the height and we already know it is an equilateral triangle.

Statement (2) is insufficient as we don't know the gap between the origin and the first point
Attachments

Capture.JPG
Capture.JPG [ 20.92 KiB | Viewed 8428 times ]

avatar
B
Soumya92
Intern
Intern
Joined: 15 Oct 2019
Posts: 3
Own Kudos [?]: 0 [0]
Given Kudos: 11
Location: India
Send PM
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink] In the figure above, Rand Q are points on the x-axis. What is the area   14 Dec 2020, 06:30
IMO may also be C.

Because, RQ= 4 & PS= 2√3

Posted from my mobile device
User avatar
B
Rainman91
Manager
Manager
Joined: 03 Jul 2020
Posts: 88
Own Kudos [?]: 25 [0]
Given Kudos: 120
Send PM
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink] In the figure above, Rand Q are points on the x-axis. What is the area   27 Jul 2022, 21:20
I did it this way. Height of equilateral triangle (h) = (A√3)/2. (A is the side of an triangle)

Plug 2sqrt/3 into H, we can solve for A.

We got the Base. We have both BxH divide by 2.
User avatar
S
Crater
Manager
Manager
Joined: 14 May 2023
Posts: 55
Own Kudos [?]: 44 [0]
Given Kudos: 9
Location: India
Send PM
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink] In the figure above, Rand Q are points on the x-axis. What is the area   01 Jul 2023, 18:45
GMATBusters
In the figure above, R and Q are points on the x-axis. What is the area of equilateral triangle PQR ?
(1) The coordinates of point P are (6, 2 \(\sqrt{3}\))

Drop a median from P.
Now it become 30-60-90 Triangle and one side opposite to 60 degrees angle is known.
\(1:\sqrt{3}:2\)

Hence, sufficient

(2) The coordinates of point Q are (8, 0)

Definitely not sufficient.

Hence, Option (A)
GMAT Club Bot
gmatclubot
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink]
01 Jul 2023, 18:45
Moderator:
Bunuel
Math Expert
95607 posts