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

 It is currently 09 Mar 2014, 12:28

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the area of parallelogram ABCD ? 1. AB = BC = CD =

Author Message
TAGS:
Intern
Joined: 29 Sep 2009
Posts: 14
Followers: 0

Kudos [?]: 2 [1] , given: 18

What is the area of parallelogram ABCD ? 1. AB = BC = CD = [#permalink]  05 Apr 2011, 14:41
1
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

66% (01:22) correct 33% (00:14) wrong based on 9 sessions
What is the area of parallelogram ABCD ?

1. AB = BC = CD = DA = 1
2. AC = BD = \sqrt{2}

(C) 2008 GMAT Club - s10#1

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

why is statement 2 not sufficient? when the two diagonals are to be the same then it is possible only in case of square. Therefore, the sides are defined as well. Or am I wrong?
[Reveal] Spoiler: OA
 Kaplan GMAT Prep Discount Codes Knewton GMAT Discount Codes Veritas Prep GMAT Discount Codes
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2058
Followers: 122

Kudos [?]: 814 [2] , given: 376

Re: geometry, data sufficiency [#permalink]  05 Apr 2011, 15:28
2
KUDOS
Knesl wrote:
What is the area of parallelogram ABCD ?

1. AB = BC = CD = DA = 1
2. AC = BD = \sqrt{2}

(C) 2008 GMAT Club - s10#1

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

why is statement 2 not sufficient? when the two diagonals are to be the same then it is possible only in case of square. Therefore, the sides are defined as well. Or am I wrong?

1. Can be square or rhombus.

2.
Diagonals are same for rectangle and square.

For square the area will be:
Area = 1*1 as the side will be 1. Diagonal is sqrt{2}, Diagonal=hypotenuse of 45-90-45 right triangle. Side= 1.

For rectangle the sides can be:
0.5, 1.12; Area = 0.56
OR
0.75, 1.2; Area = 0.9

Basically, all combination of l and w that satisfies:
l^2+w^2=2. And there are infinite such possibilities.

Combining;
We know it's a square and area is 1.

Ans: "C"
_________________

~fluke

SVP
Joined: 16 Nov 2010
Posts: 1698
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 28

Kudos [?]: 261 [0], given: 36

Re: geometry, data sufficiency [#permalink]  05 Apr 2011, 16:50
The answer is C as fluke has explained. To add a bit more, it were a square then there is no need to calculate the sides, the area can be simply 1/2 * d1 * d2.
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

Intern
Joined: 29 Sep 2009
Posts: 14
Followers: 0

Kudos [?]: 2 [0], given: 18

Re: geometry, data sufficiency [#permalink]  05 Apr 2011, 22:06
thanks.

now it is clear. I have not seen it before.
Re: geometry, data sufficiency   [#permalink] 05 Apr 2011, 22:06
Similar topics Replies Last post
Similar
Topics:
is quadrilateral ABCD a Parallelogram? 1. AB=BC 2 CD=DA 6 09 Jul 2005, 07:46
IS the quadrilateral ABCD a parallelogram? 1 AB and BC are 2 07 Sep 2005, 04:23
Is the quadrilateral ABCD a parallelogram? 1. AB=BC 2. 5 03 Jun 2006, 08:50
What is the are of parallelogram ABCD? AB = BC = CD = DA = 1 5 25 Sep 2007, 03:18
What is the area of parallelogram ABCD? 1. AB = BC = CD = DA 15 29 Oct 2007, 07:34
Display posts from previous: Sort by