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The figure above shows the shape and dimensions of a floor that is to

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Intern
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The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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New post 12 Jul 2010, 04:49
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Difficulty:

  85% (hard)

Question Stats:

48% (02:44) correct 52% (03:02) wrong based on 49 sessions

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The figure above shows the shape and dimensions of a floor that is to be carpeted. The desired carpet costs $30 per running meter, comes on a roll 6 meters wide, and has a finished surface on only one side. If AC=12 meters and if the only seam that is permitted is along the line through B and D, how much will the carpet cost?

A. $360
B. $390
C. $480
D. $540
E. $780

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Manager
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Status: Post MBA, working in the area of Development Finance
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Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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New post 12 Jul 2010, 05:14
I think the catch is "finished surface on only one side" which means that cost of carpet would be $(5+8)*2*30, which is 780
Had that catch been not there, then cost would have been $(5*2*30+8*30), which is 540!
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Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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New post 12 Jul 2010, 05:24
Artemov wrote:
I think the catch is "finished surface on only one side" which means that cost of carpet would be $(5+8)*2*30, which is 780
Had that catch been not there, then cost would have been $(5*2*30+8*30), which is 540!



Thanks Artemov!!
Took me some time to figure out how "seam along BD" and "finished surface on one side only" will change the calculation. I miscalculated 540, now i get it. Thanks a lot for teh explanation.
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Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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New post 12 Jul 2010, 06:15
Artemov wrote:
I think the catch is "finished surface on only one side" which means that cost of carpet would be $(5+8)*2*30, which is 780
Had that catch been not there, then cost would have been $(5*2*30+8*30), which is 540!


There it is! I did 540 as well. Thanks for clarifying!!! :)
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Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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New post 21 Jul 2010, 09:51
Artemov wrote:
I think the catch is "finished surface on only one side" which means that cost of carpet would be $(5+8)*2*30, which is 780
Had that catch been not there, then cost would have been $(5*2*30+8*30), which is 540!


Hi Artemov,

Can you please explain how did you get (5+8)*2*30?

Thanks in advance
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Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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New post 03 Nov 2010, 22:34
The total width of the floow is 12m, meaning 2 rolls of 6m wide carpet is required hence
Length of carpet required: (5+8)
Width of the roll: 6
Number of roll sof the carpet: Width of the floor/width of each roll => 2
=> (5+8)*6*2
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Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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New post 25 Feb 2018, 08:06
We can deduce that AB=BC=6meters and the question tells us that the roll of carpet is 6meters wide and only one seam is allowed along the line BD (which is not pictured). This means that we need to cut 2 rectangular strips from the roll of carpet, each of which will measure 6 meters wide x BD meters long. Note that by cutting 2 rectangular strips, we get more carpeted area than is needed, but this is ok because the cost of carpet is per running meter not square meter. Onto the calculation...

We can calculate BD = 13meters, thus we need 2 * 13 = 26 running meters from the roll of carpet.
26 * 30 = 780
Answer: E
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Re: The figure above shows the shape and dimensions of a floor that is to &nbs [#permalink] 25 Feb 2018, 08:06
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