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The figure above shows the dimensions of a rectangular board [#permalink]

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27 Apr 2009, 20:09

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C

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43% (03:57) correct
57% (02:32) wrong based on 248 sessions

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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)

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

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

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...

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 7205 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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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: The figure above shows the dimensions of a rectangular board [#permalink]

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01 Aug 2015, 07:30

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.
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Re: The figure above shows the dimensions of a rectangular board [#permalink]

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24 Mar 2016, 08:47

VeritasPrepKarishma wrote:

milind1979 wrote:

Attachment:

ps4.JPG

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.
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Re: The figure above shows the dimensions of a rectangular board
[#permalink]
24 Mar 2016, 08:47

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