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

 It is currently 18 Dec 2018, 13:30

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• ### Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# M28-18

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51280

### Show Tags

16 Sep 2014, 00:29
1
7
00:00

Difficulty:

75% (hard)

Question Stats:

48% (01:13) correct 53% (01:29) wrong based on 80 sessions

### HideShow timer Statistics

What is the area of a region enclosed by $$|\frac{x}{3}|+|\frac{y}{9}|=10$$?

A. $$675$$
B. $$1350$$
C. $$2700$$
D. $$5400$$
E. $$10800$$

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 51280

### Show Tags

16 Sep 2014, 00:29
Official Solution:

What is the area of a region enclosed by $$|\frac{x}{3}|+|\frac{y}{9}|=10$$?

A. $$675$$
B. $$1350$$
C. $$2700$$
D. $$5400$$
E. $$10800$$

Find the $$x$$ and $$y$$ intercepts.

When $$y=0$$, then $$x=30$$ or $$x=-30$$.

When $$x=0$$, then $$y=90$$ or $$x=-90$$.

So, we have 4 points: (30, 0), (-30, 0) (0, 90), (0, -90). When joining these points we get the rhombus:

The area of a rhombus is $$\frac{d_1*d_2}{2}$$ (where $$d_1$$ and $$d_2$$ are the lengths of the diagonals), thus the area of the enclosed figure is $$\frac{60*180}{2}=5,400$$.

_________________
Current Student
Joined: 26 Apr 2012
Posts: 85
Location: India
Concentration: Entrepreneurship, General Management
GMAT 1: 640 Q48 V29
GMAT 2: 660 Q45 V35
GMAT 3: 680 Q48 V35
GPA: 2.8
WE: Information Technology (Computer Software)

### Show Tags

16 Oct 2016, 22:24
Hello,

Why we not considered the figure square ?

Is it because,in square, the four pieces of diagonals from the point of intersections are all equal. But here they are not ?

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 51280

### Show Tags

17 Oct 2016, 02:12
karant wrote:
Hello,

Why we not considered the figure square ?

Is it because,in square, the four pieces of diagonals from the point of intersections are all equal. But here they are not ?

Thanks

If you refer to the image you'd see that the figure is NOT a square (the diagonals are not equal).
_________________
Current Student
Joined: 26 Apr 2012
Posts: 85
Location: India
Concentration: Entrepreneurship, General Management
GMAT 1: 640 Q48 V29
GMAT 2: 660 Q45 V35
GMAT 3: 680 Q48 V35
GPA: 2.8
WE: Information Technology (Computer Software)

### Show Tags

17 Oct 2016, 08:56
Bunuel wrote:
karant wrote:
Hello,

Why we not considered the figure square ?

Is it because,in square, the four pieces of diagonals from the point of intersections are all equal. But here they are not ?

Thanks

If you refer to the image you'd see that the figure is NOT a square (the diagonals are not equal).

Got it. Thanks Bunuel !!
Manager
Joined: 02 Jan 2016
Posts: 124

### Show Tags

11 May 2018, 21:46
Hi Karan,

More reliable way to find out whether this is square or not is to know the fact that, when the Rise/Run is equal i.e 10/10 or 25/25 in otherwords where the Slope is 1, we end up with 45-45-90 triangle. we add up all the four 45-45-90 triangle we end up with square, in this example clearly the Rise/Run is not 1. Hence it is a Rhombus and not a square.
Intern
Joined: 07 May 2018
Posts: 3

### Show Tags

01 Nov 2018, 08:49
1
In case you don't have the equation for the area of a rhombus memorized, you could have also multiplied the area of a triangle by 4. This figure is made up of 4 equal triangles.
Area of triangle = 1/2bh
Area of our figure=4*(1/2*30*90)=5400
M28-18 &nbs [#permalink] 01 Nov 2018, 08:49
Display posts from previous: Sort by

# M28-18

Moderators: chetan2u, Bunuel

 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®.