GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Jun 2018, 23:14

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The rectangular rug shown in the figure above has a floral border 1

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46217
The rectangular rug shown in the figure above has a floral border 1 [#permalink]

### Show Tags

22 Sep 2017, 00:40
00:00

Difficulty:

35% (medium)

Question Stats:

78% (00:46) correct 22% (00:43) wrong based on 32 sessions

### HideShow timer Statistics

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

Attachment:

2017-09-22_1138.png [ 2.74 KiB | Viewed 670 times ]

_________________
SC Moderator
Joined: 22 May 2016
Posts: 1757
Re: The rectangular rug shown in the figure above has a floral border 1 [#permalink]

### Show Tags

22 Sep 2017, 19:34
Bunuel wrote:

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

Attachment:

2017-09-22_1138ed.png [ 7.08 KiB | Viewed 522 times ]

Typically these border problems require quadratic equations. This one does not.

We need the area of "that portion of the rug that excludes the border." The part without the border is the smaller, inside rectangle.

The length of the larger rectangle is 9. The width of the border is 1 foot -- on both sides of the smaller, inside rectangle.
The width of the larger rectangle is 6. Again, the width of the border is 1 foot on both sides.

So the length of the smaller rectangle is 9 feet - 1 foot - 1 foot = 7 feet
The width of the smaller rectangle is 6 feet - 1 foot - 1 foot = 4 feet

The area, in square feet, of the portion of the rug that does not contain the border is
L * W = 7 * 4 = 28

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2831
Location: India
GPA: 3.12
Re: The rectangular rug shown in the figure above has a floral border 1 [#permalink]

### Show Tags

22 Sep 2017, 21:20

Since the rectangular rug contains of two foot of the floral border
on its end both on the length and the breadth, the area of the
rug(excluding the border) must be $$(9-2)(6-2) = 7*4 = 28$$

Therefore, the area of the rug(except the border) is 28 square feet(Option A)
_________________

You've got what it takes, but it will take everything you've got

Re: The rectangular rug shown in the figure above has a floral border 1   [#permalink] 22 Sep 2017, 21:20
Display posts from previous: Sort by