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

 It is currently 26 Jan 2020, 08:57

### 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 parallelogram ABCD?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60646
What is the area of parallelogram ABCD?  [#permalink]

### Show Tags

11 Sep 2018, 02:40
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:34) correct 36% (01:44) wrong based on 65 sessions

### HideShow timer Statistics

What is the area of parallelogram ABCD?

A. 20
B. $$20\sqrt{3}$$
C. 40
D. $$40\sqrt{3}$$
E. 80

Attachment:

image005.jpg [ 2.22 KiB | Viewed 1098 times ]

_________________
Retired Moderator
Joined: 11 Aug 2016
Posts: 364
Re: What is the area of parallelogram ABCD?  [#permalink]

### Show Tags

11 Sep 2018, 04:34
1
Bunuel wrote:

What is the area of parallelogram ABCD?

A. 20
B. $$20\sqrt{3}$$
C. 40
D. $$40\sqrt{3}$$
E. 80
Attachment:
image005.jpg
[/spoiler]

Opposite angles of the parallelograms are equal.
That means we have 2 150 degrees and 1 30 degrees angles.

If we drop a perpendicular, from one of 150degree angle vertex to the opposite side
We will have a 30-60-90 triangle.
We can calculate the height from there, which is 4 cm.
We have the base. we have the height.

Area=40
Manager
Joined: 14 Jun 2018
Posts: 210
Re: What is the area of parallelogram ABCD?  [#permalink]

### Show Tags

11 Sep 2018, 11:50
Using trigo , area of parallelogram = side 1*side2 *sin of included angle
= 10 * 8 * 1/2 = 40
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9143
Location: United States (CA)
Re: What is the area of parallelogram ABCD?  [#permalink]

### Show Tags

12 Sep 2018, 18:25
1
1
Bunuel wrote:

What is the area of parallelogram ABCD?

A. 20
B. $$20\sqrt{3}$$
C. 40
D. $$40\sqrt{3}$$
E. 80

Attachment:
image005.jpg

Since angle B = 150, angle A = 30.

Thus, when we drop a height from angle D to side AB and call the intersection E, we will have triangle ADE as a 30-60-90 right triangle. Since AD = BC = 8 is the hypotenuse of the ADE and DE is the side opposite 30-degree angle, DE = 4. However, DE is also the height of the parallelogram. Therefore, the area of the parallelogram is 10 x 4 = 40.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Joined: 14 Jul 2016
Posts: 7
Re: What is the area of parallelogram ABCD?  [#permalink]

### Show Tags

07 Oct 2018, 00:12
Area of the parallelogram ABCD = AB.CD. sin150 deg. = 40 sq. units.(C)
Re: What is the area of parallelogram ABCD?   [#permalink] 07 Oct 2018, 00:12
Display posts from previous: Sort by