GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 02 Jun 2020, 08:01

### 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

# In the rectangular coordinate system above, the area in the shaded reg

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64172
In the rectangular coordinate system above, the area in the shaded reg  [#permalink]

### Show Tags

16 Dec 2017, 00:28
00:00

Difficulty:

5% (low)

Question Stats:

87% (00:55) correct 13% (01:09) wrong based on 106 sessions

### HideShow timer Statistics

In the rectangular coordinate system above, the area in the shaded region is

(A) 1 1/2
(B) 2
(C) 2 1/2
(D) 3
(E) 4

Attachment:

2017-12-15_1301.png [ 4.71 KiB | Viewed 1809 times ]

_________________
SVP
Joined: 24 Nov 2016
Posts: 1573
Location: United States
Re: In the rectangular coordinate system above, the area in the shaded reg  [#permalink]

### Show Tags

16 Dec 2017, 10:36
Bunuel wrote:

In the rectangular coordinate system above, the area in the shaded region is

(A) 1 1/2
(B) 2
(C) 2 1/2
(D) 3
(E) 4

Attachment:
2017-12-15_1301.png

Am I missing something?

Area of triangle: $$\frac{base*height}{2}$$

Area of shaded region: Area of large triangle - Area of small triangle

Area of small triangle: $$\frac{(1*1)}{2}=\frac{1}{2}$$

Area of large triangle: $$\frac{2*height}{2}=height$$

Area of shaded region: $$height$$ $$- \frac{1}{2}$$
SVP
Joined: 20 Jul 2017
Posts: 1506
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: In the rectangular coordinate system above, the area in the shaded reg  [#permalink]

### Show Tags

25 May 2019, 03:24
exc4libur wrote:
Bunuel wrote:

In the rectangular coordinate system above, the area in the shaded region is

(A) 1 1/2
(B) 2
(C) 2 1/2
(D) 3
(E) 4

Attachment:
2017-12-15_1301.png

Am I missing something?

Area of triangle: $$\frac{base*height}{2}$$

Area of shaded region: Area of large triangle - Area of small triangle

Area of small triangle: $$\frac{(1*1)}{2}=\frac{1}{2}$$

Area of large triangle: $$\frac{2*height}{2}=height$$

Area of shaded region: $$height$$ $$- \frac{1}{2}$$

So, Area of shared region = Area of larger triangle - Area of smaller triangle.

Dimensions of larger triangle are base = 2 units, height = 2 units
Dimensions of smaller triangle are base = 1 unit, height = 1 unit

Area of larger triangle = 1/2*base*height = 1/2*2*2 = 2 units
Area of smaller triangle = 1/2*1*1 = 1/2 units

So, Area of shaded region = 2 - 1/2 = 3/2 or 1 1/2

Option A

Hope its clear!
Manager
Joined: 19 Feb 2019
Posts: 120
Location: India
Concentration: Marketing, Statistics
GMAT 1: 650 Q46 V34
GPA: 3
Re: In the rectangular coordinate system above, the area in the shaded reg  [#permalink]

### Show Tags

28 Aug 2019, 07:38
Hi Dillesh4096

From where did u get that the height of the larger triangle is 2 units?
Its not given in the figure

Pls explain if i am missing some part of the calculation
CEO
Joined: 03 Jun 2019
Posts: 2923
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: In the rectangular coordinate system above, the area in the shaded reg  [#permalink]

### Show Tags

28 Aug 2019, 08:57
Bunuel wrote:

In the rectangular coordinate system above, the area in the shaded region is

(A) 1 1/2
(B) 2
(C) 2 1/2
(D) 3
(E) 4

Attachment:
2017-12-15_1301.png

Area of shaded region = 2*2/2 - 1*1/2 = 2 - 1/2 = 1 1/2

IMO A
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Re: In the rectangular coordinate system above, the area in the shaded reg   [#permalink] 28 Aug 2019, 08:57