GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 13:09 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 given Figure, what is the Area of the Equilateral triangle ABC?

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

Hide Tags

Retired Moderator V
Joined: 27 Oct 2017
Posts: 1259
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

1
4 00:00

Difficulty:   95% (hard)

Question Stats: 30% (01:40) correct 70% (02:11) wrong based on 77 sessions

HideShow timer Statistics

Weekly Quant Quiz Question -6

In the given Figure, what is the Area of the Equilateral triangle ABC?

a) DECF is a square of area 9 cm^2.
b) BG = $$\sqrt{3}$$
Attachment: gmatbusters Quiz.jpeg [ 49.41 KiB | Viewed 1232 times ]

_________________
Senior Manager  P
Joined: 05 Jul 2018
Posts: 424
Location: India
Concentration: General Management, Technology
GMAT 1: 600 Q47 V26 GRE 1: Q162 V149 GPA: 3.6
WE: Information Technology (Consulting)
Re: In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

Answer is C as

1st Statement says :GF=3=underroot of 9
2nd statement says: BG=underroot 3

BG=CF by similar triangles...Hence both statement are sufficient to give the total length of one side and hence the area of triangle
_________________
Appreciate any KUDOS given ! MY MBA RESOURCES:

4000 Official Verbal Question | 3700 Official quant questions

Senior PS Moderator D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 737
GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

4
IMO Option (A) is correct. Please find solution in image..

Attachments Q6_sep29.jpeg [ 108.71 KiB | Viewed 1187 times ]

_________________
Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
SC Moderator P
Status: GMAT - Pulling Quant and Verbal together
Joined: 04 Sep 2017
Posts: 238
Location: United States (OH)
GPA: 3.6
WE: Sales (Computer Software)
Re: In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

Equilateral triangle has degree of 60 for each angle.

(1) gives us the side length of each side of the square. Now we know we have 30, 60, 90 triangles. Other measures can be determined to find the area.

Sufficient
_________________
Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.

How to sort questions by Topic, Difficulty, and Source:
https://gmatclub.com/forum/search.php?view=search_tags

Originally posted by MikeScarn on 29 Sep 2018, 10:32.
Last edited by MikeScarn on 29 Sep 2018, 10:35, edited 1 time in total.
Intern  B
Joined: 09 Oct 2017
Posts: 13
Location: India
Re: In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

1) sufficient
since DBG forms a triangle of 30-60-90
BG=root 3
GF=3
FC=root 3 again we got the base
with same process we can get the height of the triangle
no need to find that out. sufficient
2) BG=root 3
we can get the length of DG by same process as used in first
and if will get the base of the triangle, we can get the height as well
sufficient
Manager  B
Joined: 08 Feb 2018
Posts: 85
GMAT 1: 670 Q50 V31 Re: In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

If ABC is equilateral triangle, the side of square which bisects the two sides other than base will be half of the base.

Consider A, side of DECF = 3. Base/ any side of equilateral triangle is 6. Area = \sqrt{3}/4 *6*6 = 9\sqrt{3}. A is sufficient.

Consider B, only BG is known. Nothing else is given. Triangle can be any type. So it is not sufficient.

_________________
Kudos to Kudos And yeah, definitely aim for a level of accuracy where managing time will not be a burden anymore.
RC Moderator V
Joined: 24 Aug 2016
Posts: 789
GMAT 1: 540 Q49 V16 GMAT 2: 680 Q49 V33 Re: In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

1. Suff........ we know DG=3 & angle b = 60 ...we can determine BG and thus BC and thus areaABC.
2. NS .........if BG = root3.... we donot have a way to determine any side of triangleABC...... Ans A
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
Intern  B
Joined: 18 Oct 2017
Posts: 21
Location: India
Re: In the given Figure, what is the Area of the Equilateral triangle ABC?  [#permalink]

Show Tags

Ans. A

As area of square is 9, side of square= height of 2 smaller triangles = 3

As the triangle is equilateral, angle B and angle C = 60 degree. Angle G and angle F = 90 (given as it’s a square)

Thus angle BDG and angle CEF =30 degree.
Using 30-60-90 property of triangle, we can find out sides BG and CF. Thus, we will have BC=BG + GF + FC

One side of the triangle BC is sufficient to find area of the equilateral triangle ABC

Hence, A is sufficient

B) BG is given. However, we have no idea about GF or any other side. Thus not sufficient.

Posted from my mobile device Re: In the given Figure, what is the Area of the Equilateral triangle ABC?   [#permalink] 29 Sep 2018, 12:21
Display posts from previous: Sort by

In the given Figure, what is the Area of the Equilateral triangle ABC?

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

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