Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Sep 2008
Posts: 102

The figure above shows the dimensions of a rectangular board
[#permalink]
Show Tags
Updated on: 09 Jan 2014, 02:04
Question Stats:
46% (02:49) correct 54% (03:08) wrong based on 326 sessions
HideShow timer Statistics
Attachment:
ps4.JPG [ 33.08 KiB  Viewed 11556 times ]
The figure above shows the dimensions of a rectangular board that is to be cut into four identical pieces by making cuts at points A, B, and C, as indicated. If x = 45, what is the length AB ? (1 foot = 12 inches)
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by milind1979 on 27 Apr 2009, 21:09.
Last edited by Bunuel on 09 Jan 2014, 02:04, edited 1 time in total.
Renamed the topic, edited the question and added the OA.




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8293
Location: Pune, India

Re: Geometry
[#permalink]
Show Tags
09 Nov 2010, 20:20
milind1979 wrote: Attachment: The attachment ps4.JPG is no longer available The length of the rectangle is 240 inches. The diagram shows you the isosceles triangle whose side will be 6 inches. From 240, if we remove 2 of these sides of 6 inches each, we will be left with 228 inches. Attachment:
Ques.jpg [ 8.15 KiB  Viewed 10176 times ]
This 228 inches has to be equally divided into 4 parts as shown by the blue arrows. Why are these parts equal? Because the question says that the four pieces are identical. So the smaller side of each piece has to be equal (Look at the blue line on the top. This should be equal to the blue lines at the bottom). The length of each of the blue lines will be 228/4 = 57 inches. The length of AB = 57 + 6 inches = 63 inches.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!




Senior Manager
Joined: 08 Jan 2009
Posts: 306

Re: Geometry........
[#permalink]
Show Tags
27 Apr 2009, 23:33
Same method
We can write the length of the rectangle as 2x + 2y = 240
x + y 120 1
given X = 45 degrees, we draw a line perpendicular to line AB and form a right triangle with X as one of the internal angles.
From that triangle we can write tan45 = 6/yx
y  x = 6 2
Sove both we get y = 63 inch
Done.



Manager
Joined: 22 Jul 2009
Posts: 187

Re: Geometry
[#permalink]
Show Tags
19 Aug 2009, 15:56
Would anybody know if this is a GMAT question?
I had never seen before a GMAT question requiring knowledge of trigonometry.
Thanks



VP
Joined: 16 Jul 2009
Posts: 1192
Schools: CBS
WE 1: 4 years (Consulting)

Re: Geometry
[#permalink]
Show Tags
19 Aug 2009, 16:09
I´m with C: AB=6inches+[(20feet2*6inches)/4]=5,25feet=5 feet 3 inches You dont need trigonometry stuff. Regards, Noboru
_________________
The sky is the limit 800 is the limit
GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 22 Jul 2009
Posts: 187

Re: Geometry
[#permalink]
Show Tags
19 Aug 2009, 16:21
Noboru,
Could you explain how did you come up with that equation?
I understood tkarthi4u's explanation. He used the tangent formula: tan(x)= opposite / adjacent > tan(45) = 6 / (yx) Given that tan(45)=1, then yx=6 Together with x+y=120, y=63inches=5ft3in > answer C
I don't understand your approach.
Thanks a lot



VP
Joined: 16 Jul 2009
Posts: 1192
Schools: CBS
WE 1: 4 years (Consulting)

Re: Geometry
[#permalink]
Show Tags
20 Aug 2009, 14:05
powerka wrote: Noboru,
Could you explain how did you come up with that equation?
I understood tkarthi4u's explanation. He used the tangent formula: tan(x)= opposite / adjacent > tan(45) = 6 / (yx) Given that tan(45)=1, then yx=6 Together with x+y=120, y=63inches=5ft3in > answer C
I don't understand your approach.
Thanks a lot AB=AD+DB AD is 6 inches since x is 45 degrees. To obtain DB you have to subtract 2*6inces (6 inches because of AD and other 6inches more because CE=AD) to the long side (20 feet) and divide by 4 since there are 4 segments like DB. It´s quiet complicated to explain... hope it helped
_________________
The sky is the limit 800 is the limit
GMAT Club Premium Membership  big benefits and savings



Intern
Joined: 14 Aug 2009
Posts: 7

Re: Geometry
[#permalink]
Show Tags
21 Aug 2009, 19:35
AB+BC=120 AB=BC+6
then AB=63 inches
ans is C.



Senior Manager
Joined: 20 Mar 2008
Posts: 433

Re: Geometry
[#permalink]
Show Tags
21 Aug 2009, 21:02
qB = 10 ft. Since x = 45, angle Ast=45, since traingle Ast is a isoseles triangle. Therefore, At = st = 6 inches = .5 ft Now, qA + tB = 10  .5 We know that qa = tB since both the pieces must be identicial and rs = At & pz = qB Therefore, qA + tB = 10  .5 or, 2tB = 10  .5 = 9.5 or, tB = 4.75 AB = tB + At = 4.75 + .5 = 5.25 = 5 ft 3 in. Hence, C
Attachments
ps4.JPG [ 37.06 KiB  Viewed 11035 times ]



Director
Joined: 23 Apr 2010
Posts: 551

Re: Geometry
[#permalink]
Show Tags
25 Oct 2010, 04:59
Can I ask our math gurus to look at this one, as I don't understand the explanation quite well. Thank you.



VP
Joined: 16 Jul 2009
Posts: 1192
Schools: CBS
WE 1: 4 years (Consulting)

Re: Geometry
[#permalink]
Show Tags
09 Nov 2010, 11:12
nonameee wrote: Can I ask our math gurus to look at this one, as I don't understand the explanation quite well. Thank you. What exactly you dont understand? I will be glad to help you
_________________
The sky is the limit 800 is the limit
GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 01 Nov 2010
Posts: 134
Location: Zürich, Switzerland

Re: Geometry
[#permalink]
Show Tags
10 Nov 2010, 10:20
Draw a perpendicular till point P on AB to make it right isosceles triangle With principle of 454590 you get AP=6. As Karishma told there are 4 equal area rectangles. thus AB= AP+PB = 57+6 = 63 inches.



Director
Joined: 23 Apr 2010
Posts: 551

Re: Geometry
[#permalink]
Show Tags
11 Nov 2010, 02:47
Karishma, thanks a lot. I got it.



Intern
Joined: 17 Mar 2011
Posts: 34
Concentration: Entrepreneurship, Finance
GMAT 1: 710 Q49 V38 GMAT 2: 740 Q50 V39

Re: The figure above shows the dimensions of a rectangular board
[#permalink]
Show Tags
24 Mar 2016, 09:47
VeritasPrepKarishma wrote: milind1979 wrote: The length of the rectangle is 240 inches. The diagram shows you the isosceles triangle whose side will be 6 inches. From 240, if we remove 2 of these sides of 6 inches each, we will be left with 228 inches. Attachment: Ques.jpg This 228 inches has to be equally divided into 4 parts as shown by the blue arrows. Why are these parts equal? Because the question says that the four pieces are identical. So the smaller side of each piece has to be equal (Look at the blue line on the top. This should be equal to the blue lines at the bottom). The length of each of the blue lines will be 228/4 = 57 inches. The length of AB = 57 + 6 inches = 63 inches. Simply loved your explanation, short and crisp. No unnecessary formulae, simple common sense. I envy you, for the thought didn't strike me. I solved it but in a lengthy way. Thank you. It's a moment of qualia for me.
_________________
Get up and work hard. No other Mantra to succeed
It's not how hard you can hit that matters, what matters is how hard you can get hit and smile back. Kick life back as hard as it kicks you.



NonHuman User
Joined: 09 Sep 2013
Posts: 8176

Re: The figure above shows the dimensions of a rectangular board
[#permalink]
Show Tags
01 Jul 2018, 14:19
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: The figure above shows the dimensions of a rectangular board &nbs
[#permalink]
01 Jul 2018, 14:19






