Author 
Message 
TAGS:

Hide Tags

Current Student
Joined: 12 Aug 2015
Posts: 290
Concentration: General Management, Operations
GMAT 1: 640 Q40 V37 GMAT 2: 650 Q43 V36 GMAT 3: 600 Q47 V27
GPA: 3.3
WE: Management Consulting (Consulting)

In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
16 May 2016, 23:39
Question Stats:
68% (00:36) correct 32% (00:36) wrong based on 536 sessions
HideShow timer Statistics
In the figure above, a circle is tangent to a pair of opposite sides of a parallelogram. The length of each of these opposite sides is 58 cm. What is the area of the parallelogram in square centimeters? (1) The perimeter of the parallelogram is 120 cm. (2) The circumference of the circle is "pi".
Official Answer and Stats are available only to registered users. Register/ Login.
Attachments
20160517_122937.png [ 7.32 KiB  Viewed 13771 times ]
_________________
KUDO me plenty




Math Expert
Joined: 02 Aug 2009
Posts: 6561

In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
16 May 2016, 23:53
shasadou wrote: In the figure above, a circle is tangent to a pair of opposite sides of a parallelogram. The length of each of these opposite sides is 58 cm. What is the area of the parallelogram in square centimeters?
(1) The perimeter of the parallelogram is 120 cm.
(2) The circumference of the circle is "pi". Hi, Area of parallelogram = Base * height... Base can be taken either of the parallel sides... we are given one base as 58, but if you look at the height, it is nothing BUT the diameter of circle as both the opposite sides are tangent to circle..lets see the statements (1) The perimeter of the parallelogram is 120 cm.we know the length of the other side, BUT we cannot deduce the HEIGHT.. Also with All sides known, there can be various types of llgm possible, which will have different areas.. Insuff (2) The circumference of the circle is "pi".From the circumference we can find the DIA, which is nothing BUT the height 2*pi*r = pi, SO DIA = 1.. so area = 1*58 = 58 Suff B
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor




Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6045
GPA: 3.82

Re: In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
17 May 2016, 16:35
If we modify the original condition and the question, the area of the parallelogram can be found if we find the height of the parallelogram. Hence, we only have to find the diameter of the circle. However, from the condition 2), we get 2r=d(diameter)=1 from 2pi r=pr. The answer is unique and the condition is sufficient. Hence the correct answer is B. Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $99 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Intern
Joined: 18 Jan 2012
Posts: 38

Re: In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
15 Jul 2016, 18:57
Chetan, I assume by DIA you mean diameter, not diagonal. Could you please explain why 2pr = p? I didn't see how you got to diameter = 1. Thanks!



Current Student
Joined: 26 Dec 2014
Posts: 10

Re: In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
21 Jul 2016, 08:38
2pR=p
p = pi so if we divide p on both sides we get 2R=1
D = 2r, so D = 1.
In this case the diameter is equal to the height of the parallelogram, so base (58) x height (1) = area (58)



Current Student
Joined: 18 Oct 2014
Posts: 878
Location: United States
GPA: 3.98

Re: In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
21 Jul 2016, 11:10
shasadou wrote: In the figure above, a circle is tangent to a pair of opposite sides of a parallelogram. The length of each of these opposite sides is 58 cm. What is the area of the parallelogram in square centimeters?
(1) The perimeter of the parallelogram is 120 cm.
(2) The circumference of the circle is "pi". Area of parallelogram = Base*height. We need to find out height. (1) The perimeter of the parallelogram is 120 cm. We can calculate length of other two sides of parallelogram, but not the height. Not Sufficient. (2) The circumference of the circle is "pi". If 2 pi r= pi r=1/2 cm D= 1 cm, which is height of parallelogram. Sufficient B is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+



Manager
Joined: 08 Feb 2016
Posts: 74
Location: India
Concentration: Technology
GPA: 4

Re: In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
14 Feb 2017, 06:14
mitko20m wrote: Chetan, I assume by DIA you mean diameter, not diagonal. Could you please explain why 2pr = p? I didn't see how you got to diameter = 1. Thanks! 1. Yes, mitko20m. DIA is diameter. 2. 2*pi*r = circumference of a circle . This is a direct formula. circumference of the circle = pi (given in st2.) Hope it's clear.



Intern
Joined: 18 Jan 2017
Posts: 40

Re: In the figure above, a circle is tangent to a pair of opposite sides o
[#permalink]
Show Tags
29 Dec 2017, 11:17
shasadou wrote: In the figure above, a circle is tangent to a pair of opposite sides of a parallelogram. The length of each of these opposite sides is 58 cm. What is the area of the parallelogram in square centimeters?
(1) The perimeter of the parallelogram is 120 cm.
(2) The circumference of the circle is "pi". Since we are looking for the area of the parallelogram we need to have a value for the base and the height. We are given a value of 58 for the base from the prompt so we are looking for the height from either statement one or statement 2. 1) The perimeter of the parallelogram is 120cm. this does not give us any information that would help us find the height so eliminate 2) The circumference of the circle is "pi"  we know that circumference =2pi*r or C=pi*Diameter. From this statement we know that the diameter =1 which means height of the parallelogram is equal to 1. The area of the parallelogram is 58*1 so we know we can solve for the area with this information, therefore statement B is sufficient.




Re: In the figure above, a circle is tangent to a pair of opposite sides o &nbs
[#permalink]
29 Dec 2017, 11:17






