It is currently 19 Nov 2017, 11:37

### 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

# geometry

Author Message
Manager
Joined: 17 Oct 2016
Posts: 87

Kudos [?]: 20 [0], given: 72

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)

### Show Tags

13 Oct 2017, 04:56
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:21) correct 0% (00:00) wrong based on 10 sessions

### HideShow timer Statistics

What is the area of the shaded quadrilateral in the figure above?

(1) a^2−b^2=40

(2) a^2+b^2=58
[Reveal] Spoiler: OA

Attachments

_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 20 [0], given: 72

Intern
Joined: 30 Nov 2016
Posts: 15

Kudos [?]: [0], given: 5

Location: India
Concentration: Finance, Strategy

### Show Tags

13 Oct 2017, 05:11
statement 1 does not lead to any solution as we need the length of one of the sides of the shaded region.

Statement 2 on the other hand directly gives us the square of length the side.
a^{2} +b^{2}= 58 since all sides are equal the given info is sufficient.

Kudos [?]: [0], given: 5

Manager
Joined: 17 Oct 2016
Posts: 87

Kudos [?]: 20 [0], given: 72

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)

### Show Tags

13 Oct 2017, 05:35
animesh mohanty wrote:
statement 1 does not lead to any solution as we need the length of one of the sides of the shaded region.

Statement 2 on the other hand directly gives us the square of length the side.
a^{2} +b^{2}= 58 since all sides are equal the given info is sufficient.

Sent from my iPhone using GMAT Club Forum mobile app
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 20 [0], given: 72

Manager
Joined: 14 Sep 2016
Posts: 148

Kudos [?]: 5 [0], given: 36

### Show Tags

13 Oct 2017, 05:45
The given figure is a square since each side is a+b. Hence, area of a square is (a+b)^2

We get 4 triangles if we cut out the quadrilateral from the given square. Since, each triangle is a right angle and we know that the area of a right angle triangle is 1/2 * (Base)* (Height).
So area of 4 triangles in terms of a and b = 2ab

Hence area of the quadilateral = area of the square - area of 4 trianlges
a^2+b^2+2ab - 2ab

hence area is a^2 + b^2

1) a^2 - b^2 = 40, Insufficient

2) a^2 + b^2 = 58, Sufficient

Kudos [?]: 5 [0], given: 36

Intern
Joined: 30 Nov 2016
Posts: 15

Kudos [?]: [0], given: 5

Location: India
Concentration: Finance, Strategy

### Show Tags

13 Oct 2017, 05:48
statement 2 tells us a^2+b^2 =58
by using pythagorean theorem we find out that the length any of the sides of the shaded region is $$\sqrt{58}$$

Kudos [?]: [0], given: 5

Math Expert
Joined: 02 Sep 2009
Posts: 42258

Kudos [?]: 132703 [0], given: 12335

### Show Tags

13 Oct 2017, 06:28
Sasindran wrote:
What is the area of the shaded quadrilateral in the figure above?

(1) a^2−b^2=40

(2) a^2+b^2=58

Discussed here: https://gmatclub.com/forum/what-is-the- ... 34988.html

TOPIC IS LOCKED AND ARCHIVED.
_________________

Kudos [?]: 132703 [0], given: 12335

Re: geometry   [#permalink] 13 Oct 2017, 06:28
Display posts from previous: Sort by