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Rectangular door with brass rectangular trim

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SBhagawati
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Rectangular door with brass rectangular trim [#permalink] New post   Updated on: 24 Jun 2008, 04:05
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A
B
C
D
E

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67% (03:31) correct 33% (00:07) wrong based on 2 sessions
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Hello,

I am not able to understand this particular question. Please help. here is the question

The front door of a 6 foot by 8 foot rectangular door has brass rectangular trim, as indicated in the figure. If the trim is uniformly 1 foot wide, what fraction of the door's front surface is covered by the trim. (I cant draw the figure here, so could you please refer the OG)

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


Thanks



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D

Originally posted by SBhagawati on 24 Jun 2008, 03:57.
Last edited by SBhagawati on 24 Jun 2008, 04:05, edited 1 time in total.
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Re: Rectangular door with brass rectangular trim [#permalink] New post   24 Jun 2008, 03:59
Why don't you post the question here ?
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saurabhkowley18
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Re: Rectangular door with brass rectangular trim [#permalink] New post   24 Jun 2008, 05:18
If i am picturing this right ;
The surface area of the door is 6 x 8 = 48
Now the brass rim is 1 foot thick and around the front surface of the door,
Hence its area is (8x1)2 + (4x1)2 = 24
Hence ans is 1/2
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Re: Rectangular door with brass rectangular trim [#permalink] New post   24 Jun 2008, 06:44
Thanks but the OA is D. 7/12
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Re: Rectangular door with brass rectangular trim [#permalink] New post   24 Jun 2008, 06:49
saurabhkowley18 wrote:
If i am picturing this right ;
The surface area of the door is 6 x 8 = 48
Now the brass rim is 1 foot thick and around the front surface of the door,
Hence its area is (8x1)2 + (4x1)2 = 24
Hence ans is 1/2


we are picturing it the same way. inside part 6 by 4 (area of 24), total 6 by 8 = 48 -> 1/2. hard to do anything else without seeing the picture.
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Re: Rectangular door with brass rectangular trim [#permalink] New post   24 Jun 2008, 08:30
total area is 6 *8 -->48

area without brass coat(??)... is (8-3) * (6-2) --> 20

so area with brass is 48 - 20 -->28

and finally the proportion is 28/48 --> 7/12

- onemoretime
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Re: Rectangular door with brass rectangular trim [#permalink] New post   24 Jun 2008, 13:49
Oski wrote:
Why 8 - 3 ?


If 8 is the height of the door, and there are 2 squares of trim patterning the door, then there would be 3 times the trim pattern would intersect the door.

Therefore, the total height of the of the door is 8 - 3 = 5. Each of the trim squares would then have a height of 2.5, so multiplied by 2, would be 5. It may be easier to see it that way.

It's a lot easier to visualize with the picture.
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Re: Rectangular door with brass rectangular trim [#permalink] New post   25 Jun 2008, 02:32
2010mba wrote:
Oski wrote:
Why 8 - 3 ?


If 8 is the height of the door, and there are 2 squares of trim patterning the door, then there would be 3 times the trim pattern would intersect the door.

Therefore, the total height of the of the door is 8 - 3 = 5. Each of the trim squares would then have a height of 2.5, so multiplied by 2, would be 5. It may be easier to see it that way.

It's a lot easier to visualize with the picture.


I still dont get it :(
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Re: Rectangular door with brass rectangular trim [#permalink] New post   25 Jun 2008, 07:44
Please see attached. Picture would give you an idea.

- onemoretime
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pattern.doc [19 KiB]
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Re: Rectangular door with brass rectangular trim [#permalink] New post   25 Jun 2008, 07:47
onemoretime wrote:
Please see attached. Picture would give you an idea.

Thank you. It was definitely not understandable without the picture...
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Re: Rectangular door with brass rectangular trim [#permalink] New post   30 Jun 2008, 07:54
Thank you...the explanation was very good!
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Rectangular door with brass rectangular trim [#permalink] New post   Updated on: 04 Oct 2011, 01:23
OG 12th edition PS Q.113

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

The question has been also discussed here:
og-ps-66075.html

I don't understand how they found out that "The amount of height available for both unshaded rectangles is the height of the door minus three trim strips, or 8 – 3 = 5 feet."

Please explain.

Thank you.

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Originally posted by nonameee on 04 Oct 2011, 01:11.
Last edited by nonameee on 04 Oct 2011, 01:23, edited 1 time in total.
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Re: Rectangular door with brass rectangular trim [#permalink] New post   04 Oct 2011, 01:17
I got it. I didn't understand the problem correctly... I thought that by trim they meant rectangular boxes (unshaded area)...



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Re: Rectangular door with brass rectangular trim [#permalink]
04 Oct 2011, 01:17
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