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

Redeem

a data from gmat forum

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
Legendary Member
Posts: 966
Joined: Sat Jan 02, 2010 8:06 am
Thanked: 230 times
Followed by:21 members

by shankar.ashwin » Thu Sep 22, 2011 11:23 am
IMO E

1) AB + CD = 8

Dont know any of the four sides (Not Sufficient)

2) BC = 5

(Obviously not sufficient alone)

Together; you still dont know AD, AB and CD (although we know AB+CD) Not sufficient
diebeatsthegmat wrote:What is the perimeter of quadrangle ABCD in which a circle is inscribed?
1) AB+DC=8
2) BC=5
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Thu Sep 22, 2011 8:47 pm
Let the points at which the circle touches AB, BC, CD, and DA of the quadrangle ABCD be P, Q, R, and S.
So, let AP = AS = x,
BP = BQ = y, CQ = CR = z, and DR = DS = w. (Tangents drawn from same point are equal in length)
So, perimeter of the quadrangle is 2x+2y+2z+2w.
Consider first (1) alone.
Now, AB + CD = x+y+z+w = 8.
So perimeter is 2*8 = 16
Or (1) alone is sufficient.
Now (2) alone is not sufficient.

The correct answer is (A).
Attachments
Quadrangle.docx
(18.56 KiB) Downloaded 84 times
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Post new topic Post Reply
• Page 1 of 1