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

 It is currently 23 Oct 2019, 16:20

### 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

# What is the area of the parallelogram ABCD? (1) The sum of Angle C an

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58464
What is the area of the parallelogram ABCD? (1) The sum of Angle C an  [#permalink]

### Show Tags

02 Sep 2018, 22:11
00:00

Difficulty:

35% (medium)

Question Stats:

63% (00:54) correct 37% (01:27) wrong based on 34 sessions

### HideShow timer Statistics

What is the area of the parallelogram ABCD?

(1) The sum of Angle C and Angle B is 180°
(2) The shortest possible distance from point A to line segment DC is 10.

Attachment:

image024.jpg [ 1.5 KiB | Viewed 728 times ]

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: What is the area of the parallelogram ABCD? (1) The sum of Angle C an  [#permalink]

### Show Tags

03 Sep 2018, 02:53
Bunuel wrote:

What is the area of the parallelogram ABCD?

(1) The sum of Angle C and Angle B is 180°
(2) The shortest possible distance from point A to line segment DC is 10.

Attachment:
image024.jpg

Question : What is the area of the parallelogram ABCD?

Area of Parallelogram = Base * Height

We already have Base = 8 so we only need the Height of the Parallelogram i.e. perpendicular distance between AB and CD

Statement 1: The sum of Angle C and Angle B is 180°

This is a fact about any parallelogram hence Options A C D may be eliminated only options B and E remain

NOT SUFFICIENT

Statement 2: The shortest possible distance from point A to line segment DC is 10.

i.e. Height = 10 hence

Area of parallelogram = 8*10 = 80

SUFFICIENT

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Intern
Joined: 15 Aug 2012
Posts: 41
Schools: AGSM '19
Re: What is the area of the parallelogram ABCD? (1) The sum of Angle C an  [#permalink]

### Show Tags

03 Sep 2018, 08:47
GMATinsight wrote:
Bunuel wrote:

What is the area of the parallelogram ABCD?

(1) The sum of Angle C and Angle B is 180°
(2) The shortest possible distance from point A to line segment DC is 10.

Attachment:
image024.jpg

Question : What is the area of the parallelogram ABCD?

Area of Parallelogram = Base * Height

We already have Base = 8 so we only need the Height of the Parallelogram i.e. perpendicular distance between AB and CD

Statement 1: The sum of Angle C and Angle B is 180°

This is a fact about any parallelogram hence Options A C D may be eliminated only options B and E remain

NOT SUFFICIENT

Statement 2: The shortest possible distance from point A to line segment DC is 10.

i.e. Height = 10 hence

Area of parallelogram = 8*10 = 80

SUFFICIENT

Can we consider the height as 90 degrees because it says that the shortest distance from point A to line segment DB in this case is always going to be at 90 degrees?
GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: What is the area of the parallelogram ABCD? (1) The sum of Angle C an  [#permalink]

### Show Tags

03 Sep 2018, 12:42
Bunuel wrote:

What is the area of the parallelogram ABCD?

(1) The sum of Angle C and Angle B is 180°
(2) The shortest possible distance from point A to line segment DC is 10.

The following are just "conceptual considerations", not a new solution to this problem.

As mentioned in a previous post, two consecutive internal angles of ANY parallelogram are always supplements (i.e., their sum is 180 degrees).

In other words, statement (1) adds NOTHING to the question stem (pre-statements) and, because of that, we are sure (1) is INSUFFICIENT (= no need for an explicit bifurcation).

The rationale above DOES take into account an important implicit rule of ANY Data Sufficiency, the following:

In any Data Sufficiency problem, the question stem pre-statements is ALWAYS not enough to answer the focus (=question asked) in a unique way.

I hope these considerations are useful.

Regards,
fskilnik.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
What is the area of the parallelogram ABCD? (1) The sum of Angle C an  [#permalink]

### Show Tags

03 Sep 2018, 22:57
rajudantuluri wrote:
GMATinsight wrote:
Bunuel wrote:

What is the area of the parallelogram ABCD?

(1) The sum of Angle C and Angle B is 180°
(2) The shortest possible distance from point A to line segment DC is 10.

Attachment:
image024.jpg

Question : What is the area of the parallelogram ABCD?

Area of Parallelogram = Base * Height

We already have Base = 8 so we only need the Height of the Parallelogram i.e. perpendicular distance between AB and CD

Statement 1: The sum of Angle C and Angle B is 180°

This is a fact about any parallelogram hence Options A C D may be eliminated only options B and E remain

NOT SUFFICIENT

Statement 2: The shortest possible distance from point A to line segment DC is 10.

i.e. Height = 10 hence

Area of parallelogram = 8*10 = 80

SUFFICIENT

Can we consider the height as 90 degrees because it says that the shortest distance from point A to line segment DB in this case is always going to be at 90 degrees?

Short distance between a point and a line is obtained when a perpendicular is dropped from the point on the line. Hence, Shortest distance is same as perpendicular distance.

I think your question is about considering the side as the height, which may/may not be the height so we are not even bringing the length of the other side of this parallelogram.

I hope this helps!!!

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
What is the area of the parallelogram ABCD? (1) The sum of Angle C an   [#permalink] 03 Sep 2018, 22:57
Display posts from previous: Sort by