Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Jul 2014, 09:51

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Area of a rectangle is 80 What is the angle between the

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2771
Location: New York City
Followers: 6

Kudos [?]: 193 [0], given: 4

GMAT Tests User
Area of a rectangle is 80 What is the angle between the [#permalink] New post 23 Oct 2007, 11:42
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Area of a rectangle is 80
What is the angle between the diagonal of the rectangle and its longer side?

1. perimeter is 84
2. shorter side of rectangle is 2
Current Student
User avatar
Joined: 08 Oct 2007
Posts: 169
Location: Berkeley, CA
Schools: Berkeley-Haas MBA
WE 1: Investment Management (fund of funds)
WE 2: Private Equity ($2bn generalist fund)
Followers: 1

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

Re: DS - Area of a Rectangle [#permalink] New post 23 Oct 2007, 11:48
bmwhype2 wrote:
Area of a rectangle is 80
What is the angle between the diagonal of the rectangle and its longer side?

1. perimeter is 84
2. shorter side of rectangle is 2


If x is the shorter side
and y is the longer side,

we simply need to find out values of x and y, and angle = tan(inv) x/y

question states: xy = 80

st1. x + y = 84. This gives us 2 eqns and 2 variables, so we can find the values of x and y. SUFF

st2. Since x=2, y=40. we know values of x and y, so we know angle. SUFF


Answer D
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2771
Location: New York City
Followers: 6

Kudos [?]: 193 [0], given: 4

GMAT Tests User
Re: DS - Area of a Rectangle [#permalink] New post 23 Oct 2007, 12:32
stopper5 wrote:
bmwhype2 wrote:
Area of a rectangle is 80
What is the angle between the diagonal of the rectangle and its longer side?

1. perimeter is 84
2. shorter side of rectangle is 2


If x is the shorter side
and y is the longer side,

we simply need to find out values of x and y, and angle = tan(inv) x/y

question states: xy = 80

st1. x + y = 84. This gives us 2 eqns and 2 variables, so we can find the values of x and y. SUFF

st2. Since x=2, y=40. we know values of x and y, so we know angle. SUFF


Answer D


Is there another way to solve this? I dont think TAN, SINE. COSINE are tested on the gmat.
VP
VP
User avatar
Joined: 08 Jun 2005
Posts: 1157
Followers: 6

Kudos [?]: 106 [0], given: 0

GMAT Tests User
 [#permalink] New post 23 Oct 2007, 13:17
since :

x*y = 80 and 2(x+y) = 84 then:

x = 80/y

2(x+y) = 84

x+y = 42

80/y+y = 42

y^2-42y+80 = 0

(y-2)(y-40) = 0

y can be 2 or 40 and x can be 40 or 2.

knowing that the shorter side is 2 will suffice

the answer is (D)

:)
Manager
Manager
User avatar
Joined: 25 Apr 2007
Posts: 52
Followers: 1

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

 [#permalink] New post 23 Oct 2007, 13:26
killersquirrel,

my calculations are similiar to what you did but then i saw the question which asks about angle. even if you find the diagonal you will need trig to find the angle.

mayb that's why its just a DS question and not a PS.

I got the answer to my question while i was typing this....nm
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2771
Location: New York City
Followers: 6

Kudos [?]: 193 [0], given: 4

GMAT Tests User
 [#permalink] New post 20 Dec 2007, 14:05
OA is D.

The angle is dependent on the width.
SVP
SVP
avatar
Joined: 28 Dec 2005
Posts: 1593
Followers: 2

Kudos [?]: 68 [0], given: 2

GMAT Tests User
 [#permalink] New post 20 Dec 2007, 18:17
from statement 1, you get two values .... how is that sufficient ?
Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 893
Followers: 6

Kudos [?]: 89 [0], given: 33

Re: DS - Area of a Rectangle [#permalink] New post 21 Dec 2007, 21:33
bmwhype2 wrote:
Area of a rectangle is 80
What is the angle between the diagonal of the rectangle and its longer side?

1. perimeter is 84
2. shorter side of rectangle is 2


http://www.gmatclub.com/forum/t57397
Director
Director
avatar
Joined: 09 Aug 2006
Posts: 767
Followers: 1

Kudos [?]: 43 [0], given: 0

GMAT Tests User
 [#permalink] New post 21 Dec 2007, 23:34
KillerSquirrel wrote:
since :

x*y = 80 and 2(x+y) = 84 then:

x = 80/y

2(x+y) = 84

x+y = 42

80/y+y = 42

y^2-42y+80 = 0

(y-2)(y-40) = 0

y can be 2 or 40 and x can be 40 or 2.

knowing that the shorter side is 2 will suffice

the answer is (D)

:)


KS, can you please explain how knowing the length of the shorter side (or of both the shorter side and the longer side) will help us find the required angle??
Director
Director
avatar
Joined: 09 Aug 2006
Posts: 767
Followers: 1

Kudos [?]: 43 [0], given: 0

GMAT Tests User
 [#permalink] New post 21 Dec 2007, 23:34
bmwhype2 wrote:
OA is D.

The angle is dependent on the width.


Why and how? In this case how will you calculate the angle measure?
Manager
Manager
avatar
Joined: 18 Jan 2012
Posts: 51
Location: United States
Followers: 3

Kudos [?]: 72 [0], given: 24

Re: Area of a rectangle is 80 What is the angle between the [#permalink] New post 07 Nov 2012, 19:33
Another great question from the gmat club...

The theory behind this problem is very simple.
If one can calculate the ratios of the all the sides of a triangle, then one can always always always find the angles.

You may ask how ?
Well, think about this
Let's say that Triangles ABC and DEF are similar.
AB/DE = BC/EF=AC/AF = say 1/2
Draw any triangle satisfying this equation and you will find that
Angle A = Angle D
Angle B = Angle E
Angle C = Angle F


So for the above question, We know the sides of the triangle (diagonal splits the triangle into 2. Additionally we can apply the Pythagoras to calculate the length of the triangle )
So if one were to draw a triangle with sides in the same ratio as that of the triangle(created when we drew the diagonal of the rectangle), then we can always derive the angles !
_________________

-----------------------------------------------------------------------------------------------------
IT TAKES QUITE A BIT OF TIME AND TO POST DETAILED RESPONSES.
YOUR KUDOS IS VERY MUCH APPRECIATED

-----------------------------------------------------------------------------------------------------

Re: Area of a rectangle is 80 What is the angle between the   [#permalink] 07 Nov 2012, 19:33
    Similar topics Author Replies Last post
Similar
Topics:
1 What is the area of rectangle ABCD? dvinoth86 1 12 Sep 2012, 17:15
Area of the Interior angles of Rectangle ? Snowingreen 2 09 Feb 2010, 16:34
1 What is the perimeter of the rectangle having an area of 105 amitdgr 7 01 Nov 2008, 08:14
2 Experts publish their posts in the topic The area of a rectangle is 80. What is the angle between the GK_Gmat 15 21 Dec 2007, 03:40
What is the area of a parallelogram with an angle 45 sgrover 2 23 Jun 2006, 15:56
Display posts from previous: Sort by

Area of a rectangle is 80 What is the angle between the

  Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: Bunuel, WoundedTiger



GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.