Last visit was: 08 Sep 2024, 03:41 It is currently 08 Sep 2024, 03:41
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 figure above, Rand Q are points on the x-axis. What is the area

SORT BY:
Tags:
Show Tags
Hide Tags
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1927
Own Kudos [?]: 5874 [42]
Given Kudos: 239
WE:General Management (Education)
Intern
Joined: 10 Sep 2018
Posts: 41
Own Kudos [?]: 54 [6]
Given Kudos: 72
General Discussion
Intern
Joined: 29 Apr 2018
Posts: 39
Own Kudos [?]: 294 [0]
Given Kudos: 328
Location: Korea, Republic of
VP
Joined: 14 Feb 2017
Posts: 1083
Own Kudos [?]: 2194 [1]
Given Kudos: 368
Location: Australia
Concentration: Technology, Strategy
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)
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink]
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 [ 20.92 KiB | Viewed 8413 times ]

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

Because, RQ= 4 & PS= 2√3

Posted from my mobile device
Manager
Joined: 03 Jul 2020
Posts: 88
Own Kudos [?]: 25 [0]
Given Kudos: 120
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink]
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.
Manager
Joined: 14 May 2023
Posts: 55
Own Kudos [?]: 43 [0]
Given Kudos: 9
Location: India
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink]
GMATBusters wrote:
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)
Re: In the figure above, Rand Q are points on the x-axis. What is the area [#permalink]
Moderator:
Math Expert
95353 posts