BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Quantitative Revision from Richa Q #3

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 698
Joined: Tue Jul 21, 2015 12:12 am
Location: Noida, India
Thanked: 32 times
Followed by:26 members
GMAT Score:740

Quantitative Revision from Richa Q #3

by richachampion » Sat Nov 12, 2016 12:38 am
In parallelogram PQRS shown, if PQ = 4 and QR = 6, what is the area of PQRS?

A. 8
B. 12
C. 24
D. 8√3
E. 12√3
Attachments
Parallelogram→.png
R I C H A,
My GMAT Journey: 470 → 720 → 740
Target Score: 760+
[email protected]
1. Press thanks if you like my solution.
2. Contact me if you are not improving. (No Free Lunch!)
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 698
Joined: Tue Jul 21, 2015 12:12 am
Location: Noida, India
Thanked: 32 times
Followed by:26 members
GMAT Score:740

by richachampion » Sat Nov 12, 2016 12:48 am
Theorem: In a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : √3
R I C H A,
My GMAT Journey: 470 → 720 → 740
Target Score: 760+
[email protected]
1. Press thanks if you like my solution.
2. Contact me if you are not improving. (No Free Lunch!)
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Mon Dec 12, 2016 10:33 pm
richachampion wrote:In parallelogram PQRS shown, if PQ = 4 and QR = 6, what is the area of PQRS?

A. 8
B. 12
C. 24
D. 8√3
E. 12√3
Just to conclude it to the answer...

We know that area of a parallelogram = Base * Height;

We are given that Base = 6; however, the Height is not given.

We know that in a 30°-60°-90° triangle, the sides are in the ratio 1 : 2 : √3, respectively.

Thus, the side opposite to 90° = PQ = 4 => the side opposite to 30° = Height = 4/√3

=> Area of a parallelogram = Base * Height = 6 * 4/√3 = 24/√3 = 12√3

OA: E

Hope this helps!

-Jay

_________________
Manhattan Review GMAT Prep

Locations: New York | Bangkok | Abu Dhabi | Rome | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 335
Joined: Mon Mar 21, 2011 11:31 pm
Location: Australia / India
Thanked: 37 times
Followed by:2 members

by melguy » Tue Dec 13, 2016 8:14 pm
Jay@ManhattanReview wrote:
richachampion wrote:In parallelogram PQRS shown, if PQ = 4 and QR = 6, what is the area of PQRS?

A. 8
B. 12
C. 24
D. 8√3
E. 12√3
Just to conclude it to the answer...

We know that area of a parallelogram = Base * Height;

We are given that Base = 6; however, the Height is not given.

We know that in a 30°-60°-90° triangle, the sides are in the ratio 1 : 2 : √3, respectively.

Thus, the side opposite to 90° = PQ = 4 => the side opposite to 30° = Height = 4/√3

=> Area of a parallelogram = Base * Height = 6 * 4/√3 = 24/√3 = 12√3

OA: E

Hope this helps!

-Jay

_________________
Manhattan Review GMAT Prep

Locations: New York | Bangkok | Abu Dhabi | Rome | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Manhattan guide suggest that 30°-60°-90° ratio is 1 : √3 : 2. Based on that the height should become 2.

Base x Height = 6 x 2 = 12 (unless the 30° angle is incorrectly mentioned in the figure?)
Attachments
30-60-90.JPG
Manhattan.jpg
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Tue Dec 13, 2016 8:26 pm
melguy wrote:
Jay@ManhattanReview wrote:
richachampion wrote:In parallelogram PQRS shown, if PQ = 4 and QR = 6, what is the area of PQRS?

A. 8
B. 12
C. 24
D. 8√3
E. 12√3
Just to conclude it to the answer...

We know that area of a parallelogram = Base * Height;

We are given that Base = 6; however, the Height is not given.

We know that in a 30°-60°-90° triangle, the sides are in the ratio 1 : 2 : √3, respectively.

Thus, the side opposite to 90° = PQ = 4 => the side opposite to 30° = Height = 4/√3

=> Area of a parallelogram = Base * Height = 6 * 4/√3 = 24/√3 = 12√3

OA: E

Hope this helps!

-Jay

_________________
Manhattan Review GMAT Prep

Locations: New York | Bangkok | Abu Dhabi | Rome | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Manhattan guide suggest that 30°-60°-90° ratio is 1 : √3 : 2. Based on that the height should become 2.

Base x Height = 6 x 2 = 12 (unless the 30° angle is incorrectly mentioned in the figure?)
Yes, it is correct. For a 30°-60°-90° triangle, the sides are in the ratio 1 : √3 : 2, respectively. In that case, the height should be 2.

Thus, area = 6*2 = 12

OA: B

-Jay

_________________
Manhattan Review GMAT Prep

Locations: New York | Singapore | Doha | Lausanne | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.[spoiler][/spoiler]
Top
Post new topic Post Reply
• Page 1 of 1