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The figure above shows the dimensions of a living room floor

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The figure above shows the dimensions of a living room floor [#permalink] New post 19 Feb 2014, 11:08
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Difficulty:

  35% (medium)

Question Stats:

71% (01:40) correct 29% (00:50) wrong based on 62 sessions
The figure above shows the dimensions of a living room floor that is to be covered completely
with two nonoverlapping rectangular pieces of carpet. What is the area, in square feet, of the
largest piece of carpet that can be used?

A: 80 B: 156 C: 208 D: 216 E: 288

The question looks overly simple, but might not be what we thinking after all.
[Reveal] Spoiler: OA

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Re: The figure above shows the dimensions of a living room floor [#permalink] New post 19 Feb 2014, 14:27
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gmatbull wrote:
The figure above shows the dimensions of a living room floor that is to be covered completely with two nonoverlapping rectangular pieces of carpet. What is the area, in square feet, of the largest piece of carpet that can be used?

A: 80 B: 156 C: 208 D: 216 E: 288

The question looks overly simple, but might not be what we thinking after all.

I'm happy to respond. :-)

As in so many GMAT problems, the diagram is wildly deceiving, and is bound to lead one into all kinds of incorrect assumptions. Here's a scaled diagram:
Attachment:
floor with rectangular carpet.JPG
floor with rectangular carpet.JPG [ 16.19 KiB | Viewed 1248 times ]

The diagram suggest, for example, that BC and DE are about the same size, as CE and EF would seem. The scaled diagram makes clear that the dimension we aren't given are much bigger and make the difference. Here, BC = 16 - 4 = 12, and AB = 13 + 5 = 18. The biggest piece of carpet has corners A & B & C and the point on AF below D, and it has an area of 12*18 = 216.

Does all this make sense?
Mike :-)
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Re: The figure above shows the dimensions of a living room floor [#permalink] New post 23 Nov 2015, 13:57
mikemcgarry wrote:
gmatbull wrote:
The figure above shows the dimensions of a living room floor that is to be covered completely with two nonoverlapping rectangular pieces of carpet. What is the area, in square feet, of the largest piece of carpet that can be used?

A: 80 B: 156 C: 208 D: 216 E: 288

The question looks overly simple, but might not be what we thinking after all.

I'm happy to respond. :-)

As in so many GMAT problems, the diagram is wildly deceiving, and is bound to lead one into all kinds of incorrect assumptions. Here's a scaled diagram:
Attachment:
floor with rectangular carpet.JPG

The diagram suggest, for example, that BC and DE are about the same size, as CE and EF would seem. The scaled diagram makes clear that the dimension we aren't given are much bigger and make the difference. Here, BC = 16 - 4 = 12, and AB = 13 + 5 = 18. The biggest piece of carpet has corners A & B & C and the point on AF below D, and it has an area of 12*18 = 216.

Does all this make sense?
Mike :-)

what's the significance of the "overlapping part" I did not get that also I don't get why we are subtracting 16-4 for BC and adding 13 and 5 for AB.
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Re: The figure above shows the dimensions of a living room floor [#permalink] New post 25 Nov 2015, 10:15
Expert's post
Hi sagnik242,

The prompt tells us that the floor has to be covered by 2 different RECTANGLE carpets that do NOT overlap. Since the room is NOT a rectangle, we have two different ways to place rectangle carpets within it.

1) 2 carpets laid down 'left-to-right'
2) 2 carpets laid down 'north-to-south'

For the first option, the dimensions of the two carpets would be 13x16 and 5x20

For the second option, the dimensions of the two carpets would be 18x12 and 5x4

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Rich
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Re: The figure above shows the dimensions of a living room floor   [#permalink] 25 Nov 2015, 10:15
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