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

 It is currently 20 Sep 2018, 17:20

### 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, if the base of the triangl

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49271
In the rectangular coordinate system above, if the base of the triangl  [#permalink]

### Show Tags

24 Aug 2018, 02:48
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:02) correct 28% (00:55) wrong based on 32 sessions

### HideShow timer Statistics

In the rectangular coordinate system above, if the base of the triangle is parallel to the x-axis what is the area of the triangle?

(1) b – f = 0 and a – e = –4
(2) f – d = –3 and c – e = –2

Attachment:

image010.gif [ 904 Bytes | Viewed 373 times ]

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 852
WE: Supply Chain Management (Energy and Utilities)
In the rectangular coordinate system above, if the base of the triangl  [#permalink]

### Show Tags

24 Aug 2018, 04:13
Bunuel wrote:

In the rectangular coordinate system above, if the base of the triangle is parallel to the x-axis what is the area of the triangle?

(1) b – f = 0 and a – e = –4
(2) f – d = –3 and c – e = –2

Attachment:
image010.gif

We need the value of the following parameters in order to determine the area of a triangle:
a) Length of three sides
b) Length of base and height

St1:- b – f = 0 and a – e = –4
Only measure of base is known.
base=a+4-a=4 unit
Measure of height is in dark.
Insufficient.

St2:- f – d = –3 and c – e = –2
Only measure of height is known.
Height=f+3-f=3 unit
Measure of base is in dark.
Insufficient.

Combined, measure of both base and height is known. Area can be calculated. (For reference, combining st1 & 2, vertices of the triangle become Left(a,b),Right(a+4,b), Top(a+2,b+3) and the coordinate intersection of base and height is (a+2,b))
Sufficient.

Ans. (C)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Joined: 20 Feb 2015
Posts: 733
Concentration: Strategy, General Management
Re: In the rectangular coordinate system above, if the base of the triangl  [#permalink]

### Show Tags

25 Aug 2018, 11:16
Bunuel wrote:

In the rectangular coordinate system above, if the base of the triangle is parallel to the x-axis what is the area of the triangle?

(1) b – f = 0 and a – e = –4
(2) f – d = –3 and c – e = –2

Attachment:
image010.gif

(1) b – f = 0 and a – e = –4
given that the base is parallel to x axis

area = $$\frac{b * h}{2}$$
b= difference in x co ordinates = 4 ( a-e)
h=difference in y co ordinates = ?

insufficient

(2) f – d = –3 and c – e = –2
b= difference in x co ordinates = ?
h=difference in y co ordinates = f-d=3

insufficient.

using both the statements

area = $$\frac{4*3}{2}$$= 6
sufficient
C
Re: In the rectangular coordinate system above, if the base of the triangl &nbs [#permalink] 25 Aug 2018, 11:16
Display posts from previous: Sort by

# Events & Promotions

 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®.