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# 2518 The figure above shows the dimensions of a rectangular

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Manager
Joined: 14 Dec 2005
Posts: 74
2518 The figure above shows the dimensions of a rectangular [#permalink]

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26 Feb 2006, 10:39
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Question Stats:

33% (04:07) correct 67% (01:35) wrong based on 9 sessions

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2518 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)

(A) 5 ft 6 in
(B) 5 ft in
(C) 5 ft 3 in
(D) 5 ft
(E) 4 ft 9 in[/img]
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Manager
Joined: 24 Dec 2005
Posts: 95

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27 Feb 2006, 00:38
Hi geemaat,

Thanks a bunch!
VP
Joined: 20 Sep 2005
Posts: 1017

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27 Feb 2006, 01:10
C. 63 inches.

Drop a perpendicular of AB to form a 45-45-90 triangle. The measure of the non-hypotenuse side will be 6 inches.
Intern
Joined: 10 Nov 2005
Posts: 36
Location: India

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27 Feb 2006, 19:31
Definate C.
Consider the extreme left point of the base as X.Drop a prependicular on AB,lets say it meets AB at D.
Now AD = 6 because angle x = 45. and we get a45-45-90 right hand triangle.For four exual pieces XB=10 feet.And for the two pices in the XB half to be equal XA=DB=(120-6)/2 = 57
AB =AD+DB = 57+6 = 63 = 5 ft 3 inches
Manager
Joined: 04 Aug 2011
Posts: 51

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07 Aug 2011, 20:44
Hi, why XA=DB? where do you get this condition?

harinder_sandhu wrote:
Definate C.
Consider the extreme left point of the base as X.Drop a prependicular on AB,lets say it meets AB at D.
Now AD = 6 because angle x = 45. and we get a45-45-90 right hand triangle.For four exual pieces XB=10 feet.And for the two pices in the XB half to be equal XA=DB=(120-6)/2 = 57
AB =AD+DB = 57+6 = 63 = 5 ft 3 inches
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7440
Location: Pune, India

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09 Aug 2011, 04:44
Avis wrote:
2518 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)

(A) 5 ft 6 in
(B) 5 ft in
(C) 5 ft 3 in
(D) 5 ft
(E) 4 ft 9 in[/img]

Check out the explanation here: geometry-78117.html#p815685

The included diagram explains the logic.
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Re: Problem Solving Help   [#permalink] 09 Aug 2011, 04:44
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