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

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Intern
Joined: 30 May 2010
Posts: 29
Schools: YALE SOM
The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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12 Jul 2010, 04:49
1
4
00:00

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

Attachment:

d1.JPG [ 3.95 KiB | Viewed 2724 times ]
Manager
Status: Post MBA, working in the area of Development Finance
Joined: 09 Oct 2006
Posts: 157
Location: Africa
Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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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!
Manager
Joined: 16 Apr 2008
Posts: 67
Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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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.
Intern
Joined: 30 May 2010
Posts: 29
Schools: YALE SOM
Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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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!!!
Manager
Joined: 24 Jan 2010
Posts: 90
Location: India
Schools: ISB
Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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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?

Intern
Joined: 11 Oct 2010
Posts: 1
Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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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
Manager
Joined: 30 Mar 2017
Posts: 135
GMAT 1: 200 Q1 V1
Re: The figure above shows the shape and dimensions of a floor that is to  [#permalink]

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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
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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