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2518 The figure above shows the dimensions of a rectangular

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2518 The figure above shows the dimensions of a rectangular [#permalink] New post 26 Feb 2006, 09:39
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C
D
E

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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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 [#permalink] New post 26 Feb 2006, 23:38
Hi geemaat,

would appreciate your reasoning and thought flow behind the answer.

Thanks a bunch!
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 [#permalink] New post 27 Feb 2006, 00:10
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.
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 [#permalink] New post 27 Feb 2006, 18:31
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
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Re: [#permalink] New post 07 Aug 2011, 19:44
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
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Re: Problem Solving Help [#permalink] New post 09 Aug 2011, 03:44
Expert's post
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, 03:44
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2518 The figure above shows the dimensions of a rectangular

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