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# Geometry

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Manager
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Geometry [#permalink]  27 Apr 2009, 20:09
00:00

Difficulty:

5% (low)

Question Stats:

16% (01:40) correct 83% (02:41) wrong based on 12 sessions
Attachment:

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Manager
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Re: Geometry........ [#permalink]  27 Apr 2009, 22:13
I think this should be it. Perfect.
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Re: Geometry........ [#permalink]  27 Apr 2009, 22:33
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/y-x

y - x = 6 ---------2

Sove both we get y = 63 inch

Done.
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Re: Geometry [#permalink]  19 Aug 2009, 14:56
Would anybody know if this is a GMAT question?

I had never seen before a GMAT question requiring knowledge of trigonometry.

Thanks
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Re: Geometry [#permalink]  19 Aug 2009, 15:09
I´m with C:

AB=6inches+[(20feet-2*6inches)/4]=5,25feet=5 feet 3 inches

You dont need trigonometry stuff.

Regards,
-Noboru
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Re: Geometry [#permalink]  19 Aug 2009, 15:21
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 / (y-x)
Given that tan(45)=1, then y-x=6
Together with x+y=120, y=63inches=5ft3in -> answer C

Thanks a lot
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Re: Geometry [#permalink]  20 Aug 2009, 13:05
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 / (y-x)
Given that tan(45)=1, then y-x=6
Together with x+y=120, y=63inches=5ft3in -> answer C

Thanks a lot

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
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Re: Geometry [#permalink]  21 Aug 2009, 18:35
AB+BC=120
AB=BC+6

then
AB=63 inches

ans is C.
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Re: Geometry [#permalink]  21 Aug 2009, 20:02
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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
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Re: Geometry [#permalink]  25 Oct 2010, 03:59
Can I ask our math gurus to look at this one, as I don't understand the explanation quite well. Thank you.
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Re: Geometry [#permalink]  09 Nov 2010, 10:12
nonameee wrote:
Can I ask our math gurus to look at this one, as I don't understand the explanation quite well. Thank you.

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Re: Geometry [#permalink]  09 Nov 2010, 19:20
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Expert's post
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 2685 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.
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Re: Geometry [#permalink]  10 Nov 2010, 09:20
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Draw a perpendicular till point P on AB to make it right isosceles triangle- With principle of 45-45-90 you get AP=6.
As Karishma told- there are 4 equal area rectangles. thus AB= AP+PB = 57+6 = 63 inches.
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Re: Geometry [#permalink]  11 Nov 2010, 01:47
Karishma, thanks a lot. I got it.
Re: Geometry   [#permalink] 11 Nov 2010, 01:47
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