It is currently 22 Nov 2017, 19:06

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

Each side of a certain parallelogram has length 6. If the area of the

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

Hide Tags

1 KUDOS received
Manager
Manager
User avatar
Joined: 26 Jun 2007
Posts: 104

Kudos [?]: 83 [1], given: 0

Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 26 Jan 2008, 11:31
1
This post received
KUDOS
18
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

52% (01:38) correct 48% (01:23) wrong based on 419 sessions

HideShow timer Statistics

Each side of a certain parallelogram has length 6. If the area of the parallelogram is 18. Which of the following is the measure of one of its angles?

A. 30
B. 45
C. 60
D. 90
E. 120
[Reveal] Spoiler: OA

Kudos [?]: 83 [1], given: 0

Manager
Manager
avatar
Joined: 01 Sep 2007
Posts: 98

Kudos [?]: 32 [0], given: 0

Location: Astana
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 26 Jan 2008, 11:48
Since it is a PS question, I would pick D on exam.
sides are equal so it most probably a rhomb. if i recall correctly, the area of a rhomb is half the product of its diagonals? d1d2 = 18*2 = 36. perhaps diagonals are equal in lenght (sqrt 36 = 6).

so we have two equilateral traingles. where angles are equal to 60 degrees.

Kudos [?]: 32 [0], given: 0

Expert Post
5 KUDOS received
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3583

Kudos [?]: 4672 [5], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
GMAT ToolKit User Premium Member
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 26 Jan 2008, 12:44
5
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
A

Area=h*a

18=6*h ==> h=3
Attachments

t59092.gif
t59092.gif [ 13.92 KiB | Viewed 7341 times ]


_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Kudos [?]: 4672 [5], given: 360

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 22 Sep 2005
Posts: 278

Kudos [?]: 244 [1], given: 1

Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 26 Jan 2008, 13:50
1
This post received
KUDOS
A too.

We know that Area= base * height. If the Area=18, and base = 6, height must be 3, that is, the angle must be 30º.

Kudos [?]: 244 [1], given: 1

2 KUDOS received
Intern
Intern
User avatar
Joined: 03 Jan 2008
Posts: 7

Kudos [?]: 17 [2], given: 0

Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 28 Jan 2008, 09:40
2
This post received
KUDOS
Given each side is 6 and area is 18. We can find the altitude, ie: alt = 18/6 = 3.
Now we have a triangle with one side as 6, the alt as 3, and the base which we don't know.

Using Pythagoras theorem, 6^2 = 3^2 + Base^2 => Base = 3V3
So, the sides are now 3*1, 3*V3, 3*2 => 1:V3:2, which is a 30-60-90 triangle.

Hence the angle that we know is 30, which forms a side of the parallelogram.
Ans: A.

Kudos [?]: 17 [2], given: 0

Director
Director
avatar
Joined: 01 Jan 2008
Posts: 617

Kudos [?]: 204 [0], given: 1

Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 03 Mar 2008, 12:46
1
This post was
BOOKMARKED
6*6*sin(alpha) = 18 -> sin(alpha) = 1/2 -> alpha = 30 -> A

Kudos [?]: 204 [0], given: 1

Intern
Intern
avatar
Joined: 20 Sep 2008
Posts: 45

Kudos [?]: 13 [0], given: 0

Each side of a certain parallelogram has length 6. if the [#permalink]

Show Tags

New post 25 Sep 2008, 14:26
Each side of a certain parallelogram has length 6. if the area of the parallelogram is 18.
which of the following is the measure of one of its angles?
A. 30’ B. 45’ C. 60’ D. 90’ E.120’

Equal sides of a parallegrame means it's a rhombus -> angle should be either 60 or 120?

Kudos [?]: 13 [0], given: 0

Expert Post
4 KUDOS received
GMAT Tutor
avatar
B
Joined: 24 Jun 2008
Posts: 1344

Kudos [?]: 2010 [4], given: 6

Re: Parallelogram Angels [#permalink]

Show Tags

New post 25 Sep 2008, 16:41
4
This post received
KUDOS
Expert's post
jugolo1 wrote:
Each side of a certain parallelogram has length 6. if the area of the parallelogram is 18.
which of the following is the measure of one of its angles?
A. 30’ B. 45’ C. 60’ D. 90’ E.120’

Equal sides of a parallegrame means it's a rhombus -> angle should be either 60 or 120?


Well, you could rule out 60 and 120 right away, because if the parallelogram had an angle of 60 degrees, it would also need to have an angle of 120 degrees (adjacent angles in a parallelogram add to 180), and then there would be two correct answers to the question, which can't happen.

The area of a parallelogram is base*height. The height of this parallelogram must be 3. We therefore need to find the angles in a right angled triangle with a hypotenuse of 6 and a height of 3. That's a 30-60-90, of course, and 30 is the angle opposite the 3, so 30 degrees is one of the angle measures in the parallelogram, and 150 the other.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Kudos [?]: 2010 [4], given: 6

Intern
Intern
avatar
Joined: 25 Sep 2008
Posts: 1

Kudos [?]: [0], given: 0

Re: Parallelogram Angels [#permalink]

Show Tags

New post 26 Sep 2008, 02:10
Ans is 30deg

area of a parallelogram = b*h

b*h=18
h=18/6=3

sin theta =opp/hyp= 3/6

theta = sin inv of 1/2=30 deg

Kudos [?]: [0], given: 0

Director
Director
avatar
Joined: 23 May 2008
Posts: 800

Kudos [?]: 86 [0], given: 0

Re: Parallelogram Angels [#permalink]

Show Tags

New post 26 Sep 2008, 10:37
A=b*h or 1/2 d1*d2, if all 4 sides are equal then this is a rhombus, which is basically a tilted square. How can you have a height of 3 and area of 18? Shouldnt height be 6 and area 36? Is this question correctly worded?

Kudos [?]: 86 [0], given: 0

Expert Post
GMAT Tutor
avatar
B
Joined: 24 Jun 2008
Posts: 1344

Kudos [?]: 2010 [0], given: 6

Re: Parallelogram Angels [#permalink]

Show Tags

New post 26 Sep 2008, 10:52
bigtreezl wrote:
A=b*h or 1/2 d1*d2, if all 4 sides are equal then this is a rhombus, which is basically a tilted square. How can you have a height of 3 and area of 18? Shouldnt height be 6 and area 36? Is this question correctly worded?


If you have a rhombus with sides b and c, the area will only be b*c if the rhombus is a square. Otherwise the area will be less than b*c. To find the area of a rhombus (or any other parallelogram), you need to multiply the base and the height. If your parallelogram is 'tilted' (i.e. if the angles are not all 90 degrees), then the height is definitely not one of the sides. In this example, the rhombus is pretty seriously tilted to get an area as small as 18.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Kudos [?]: 2010 [0], given: 6

1 KUDOS received
Director
Director
avatar
Joined: 23 May 2008
Posts: 800

Kudos [?]: 86 [1], given: 0

Re: Parallelogram Angels [#permalink]

Show Tags

New post 26 Sep 2008, 11:18
1
This post received
KUDOS

Kudos [?]: 86 [1], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15546

Kudos [?]: 283 [0], given: 0

Premium Member
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 11 Oct 2014, 05:24
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15546

Kudos [?]: 283 [0], given: 0

Premium Member
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 31 Oct 2015, 11:08
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15546

Kudos [?]: 283 [0], given: 0

Premium Member
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 24 May 2017, 05:39
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Manager
Manager
avatar
B
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 154

Kudos [?]: 7 [0], given: 13

Location: India
Concentration: Finance, International Business
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 11 Aug 2017, 00:50
I have a question here. how are we considering the art of the parallelogram to be a right triangle?? Can someone please explain

Kudos [?]: 7 [0], given: 13

Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 567

Kudos [?]: 257 [0], given: 35

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 12 Aug 2017, 12:47
longhaul123 wrote:
I have a question here. how are we considering the art of the parallelogram to be a right triangle?? Can someone please explain


HI longhaul123

Can you be more specific with your query. If you drop a perpendicular on the base of the parallelogram then it will form a right angles triangle with one of the side of the parallelogram as its hypotenuse.

Kudos [?]: 257 [0], given: 35

Senior Manager
Senior Manager
User avatar
G
Joined: 29 Jun 2017
Posts: 374

Kudos [?]: 70 [0], given: 67

GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User Reviews Badge
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 10 Sep 2017, 07:30
Ans is clearly A--- see the attached image

A= base x Height
6xH = 18
H=3

Sin A = 3/6 = 1/2
A=30

Answer is A
Attachments

IMG_0031.JPG
IMG_0031.JPG [ 957.94 KiB | Viewed 626 times ]


_________________

Give Kudos for correct answer and/or if you like the solution.

Kudos [?]: 70 [0], given: 67

Manager
Manager
User avatar
S
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 73

Kudos [?]: 31 [0], given: 13

GMAT 1: 750 Q50 V42
WE: Education (Education)
Re: Each side of a certain parallelogram has length 6. If the area of the [#permalink]

Show Tags

New post 11 Sep 2017, 00:53
We can work on options to get to the answer quickly,
Option C and option E can be eliminated easily as if one angle is 60 one of the other angle has to be 120.
Option D is not possible as if one angle is 90 all angles will be 90, thus it becomes a square with side 6 and area of square is 6*6 = 36. Not matching.
Out of option A and option B, working on option A is easier, thus even if someone doesnt know how to work on this answer can still guess it correct.

Now working on option A
we can draw a diagonal and break parallelogram into two triangles of equal area. One angle of triangle is 30 and sides are 6. Using formula
area of triangle = \(\frac{1}{2}\) * a*b*sin(x)
area of one triangle becomes \(\frac{1}{2}\) * 6*6*sin(30) = \(\frac{1}{2}\) * 6*6*\(\frac{1}{2}\) = 9
Thus total area = 9+9 =18
Thus option A
_________________

Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971568653827
Website: http://www.holamaven.com

Kudos [?]: 31 [0], given: 13

Re: Each side of a certain parallelogram has length 6. If the area of the   [#permalink] 11 Sep 2017, 00:53
Display posts from previous: Sort by

Each side of a certain parallelogram has length 6. If the area of the

  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®.