Rectangular door with brass rectangular trim

Question

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

Oski · Answer

Why don't you post the question here ?

saurabhkowley18 · Answer

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

SBhagawati · Answer

Thanks but the OA is D. 7/12

maratikus · Answer

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.

onemoretime · Answer

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

2010mba · Answer

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.

saurabhkowley18 · Answer

I still dont get it

onemoretime · Answer

Please see attached. Picture would give you an idea.

- onemoretime

Oski · Answer

Thank you. It was definitely not understandable without the picture...

SBhagawati · Answer

Thank you...the explanation was very good!

nonameee · Answer

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.

nonameee · Answer

I got it. I didn't understand the problem correctly... I thought that by trim they meant rectangular boxes (unshaded area)...

Rectangular door with brass rectangular trim

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