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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 18184

GRE 1: Q160 V160

The rectangular rug shown [#permalink]

29 Dec 2016, 03:38

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Question Stats:

87% (00:55) correct

12% (00:41) wrong

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#GREpracticequestion The rectangular rug shown in the figure above .jpg [ 12.16 KiB | Viewed 2692 times ]

The rectangular rug shown in the figure above has a floral border 1 foot wide on all sides. What is the area, in square feet, of that portion of the rug that excludes the border ?

(A) 28
(B) 40
(C) 45
(D) 48
(E) 53

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IlCreatore

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Joined: 03 Sep 2017

Posts: 518

Re: The rectangular rug shown [#permalink]

29 Sep 2017, 06:50

Since the rug extends for 1 cm uniformly, to get the dimensions of the inner rectangular we have to subtract 2 from the dimension of the outer rectangular. Then, the area is equal to 7*4 = 28. Answer A!

GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 4909

The rectangular rug shown [#permalink]

13 Jun 2019, 05:24

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Carcass wrote:

Attachment:

The attachment #GREpracticequestion The rectangular rug shown in the figure above .jpg is no longer available

Since the border has a uniform width of 1 foot, we can see that the non-border part of the rug has a length of 7

Attachment:

The rectangular rug shown in the figure above has a floral border1.png [ 40.69 KiB | Viewed 2465 times ]

Applying the same logic, we can see that the non-border part of the rug has a width of 4

Attachment:

The rectangular rug shown in the figure above has a floral border2.png [ 41.09 KiB | Viewed 2463 times ]

What is the area, in square feet, of that portion of the rug that excludes the border ?

Attachment:

The rectangular rug shown in the figure above has a floral border3.png [ 38.32 KiB | Viewed 2463 times ]

Area of rectangle = (base)(height) = (7)(4) = 28

Answer: A

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