It is currently 18 Oct 2017, 02:38

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 front of a 6-foot-by-8-foot rectangular door has brass

Author Message
TAGS:

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

Kudos [?]: 3460 [1], given: 0

The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

12 Dec 2012, 08:45
1
KUDOS
8
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:42) correct 35% (01:39) wrong based on 981 sessions

HideShow timer Statistics

Attachment:

Door.png [ 6.35 KiB | Viewed 14150 times ]
The front of a 6-foot-by-8-foot rectangular door has brass rectangular trim, as indicated by the shading in the figure above. If the trim is uniformly 1 foot wide, what fraction of the door's front surface is covered by the trim?

(A) 13/48
(B) 5/12
(C) 1/2
(D) 7/12
(E) 5/8
[Reveal] Spoiler: OA

Kudos [?]: 3460 [1], given: 0

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

Kudos [?]: 2616 [5], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

29 Oct 2014, 02:03
5
KUDOS
1
This post was
BOOKMARKED
Segmented the shaded region in 2 as shown below:
Attachment:

Door.png [ 5.29 KiB | Viewed 9073 times ]

Yellow region area = 2 * 8*1 = 16

Pink region area = 3 * 4*1 = 12

Total frame area = 8*6 = 48

Ratio $$= \frac{28}{48} = \frac{7}{12}$$

_________________

Kindly press "+1 Kudos" to appreciate

Kudos [?]: 2616 [5], given: 193

Math Expert
Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128668 [4], given: 12181

Re: The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

12 Dec 2012, 08:52
4
KUDOS
Expert's post
4
This post was
BOOKMARKED

The front of a 6-foot-by-8-foot rectangular door has brass rectangular trim, as indicated by the shading in the figure above. If the trim is uniformly 1 foot wide, what fraction of the door's front surface is covered by the trim?

(A) 13/48
(B) 5/12
(C) 1/2
(D) 7/12
(E) 5/8

First let's find the area of unshaded region.

The two unshaded regions have a width of 4 feet: 6 feet minus 1 foot wide trim on each side.
The two unshaded regions have a height of 5 feet: 8 feet minus 1 foot at the top, 1 foot in the middle and 1 foot at the bottom.

Thus the area of the two unshaded regions is 4*5=20 square feet.

Therefore, the area of the trim is 6*8-20=28 square feet, which is 28/48=7/12 of the total area.

Hope it's clear.
_________________

Kudos [?]: 128668 [4], given: 12181

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1545

Kudos [?]: 827 [2], given: 5

Re: The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

11 Jun 2016, 06:42
2
KUDOS
Expert's post
Attachment:
Door.png
The front of a 6-foot-by-8-foot rectangular door has brass rectangular trim, as indicated by the shading in the figure above. If the trim is uniformly 1 foot wide, what fraction of the door's front surface is covered by the trim?

(A) 13/48
(B) 5/12
(C) 1/2
(D) 7/12
(E) 5/8

To solve this problem we can view it as a type of “shaded region” problem, in which we first determine the area of the entire figure and then subtract the area of the unshaded (white) space from the total area to determine the area of the shaded region, which, in this case, is the area of the trim. Let’s start with the area of the entire figure. We see from the diagram that the shape is a rectangle 6 feet by 8 feet. Since the area of a rectangle is width x length, we know:

area = 6 x 8 = 48

We can determine the area of the trim by first finding the area of the white spaces. We can use a diagram to illustrate this:

We can see that, to determine the total area of the two white spaces, we can subtract a total of 2 feet from the 6 foot width and 3 feet from the 8 foot length. Thus, the combined area of the two white spaces is:

(6 – 2) x (8 – 3) = 4 x 5 = 20.

Thus, we know that the area of shaded region, i.e., the trim, is:

48 – 20 = 28

Finally, we can determine the fraction of the door's front surface that is covered by the trim.

Because the area of the trim is 28 and the area of the entire door is 48, the fraction of the door that is covered by the trim is 28/48 = 7/12.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 827 [2], given: 5

Current Student
Joined: 10 Aug 2009
Posts: 69

Kudos [?]: 46 [1], given: 45

Location: United States (VA)
Concentration: Entrepreneurship, Strategy
Schools: Darden '17 (M)
Re: The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

28 Oct 2014, 17:13
1
KUDOS
Bunuel wrote:

The front of a 6-foot-by-8-foot rectangular door has brass rectangular trim, as indicated by the shading in the figure above. If the trim is uniformly 1 foot wide, what fraction of the door's front surface is covered by the trim?

(A) 13/48
(B) 5/12
(C) 1/2
(D) 7/12
(E) 5/8

First let's find the area of unshaded region.

The two unshaded regions have a width of 4 feet: 6 feet minus 1 foot wide trim on each side.
The two unshaded regions have a height of 5 feet: 8 feet minus 1 foot at the top, 1 foot in the middle and 1 foot at the bottom.

Thus the area of the two unshaded regions is 4*5=20 square feet.

Therefore, the area of the trim is 6*8-20=28 square feet, which is 28/48=7/12 of the total area.

Hope it's clear.

Thank you for this. I accidently chose the trap answer of $$\frac{5}{12}$$, and found the area of the door not covered by trim
_________________

"Popular opinion is the greatest lie in the world"-Thomas Carlyle

Kudos [?]: 46 [1], given: 45

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16723

Kudos [?]: 273 [0], given: 0

Re: The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

06 May 2014, 12:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16723

Kudos [?]: 273 [0], given: 0

Re: The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

18 Dec 2015, 08:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16723

Kudos [?]: 273 [0], given: 0

Re: The front of a 6-foot-by-8-foot rectangular door has brass [#permalink]

Show Tags

05 Jul 2017, 21:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Re: The front of a 6-foot-by-8-foot rectangular door has brass   [#permalink] 05 Jul 2017, 21:31
Display posts from previous: Sort by