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A rectangular tabletop consists of a piece of laminated wood

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A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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New post 06 Oct 2010, 12:19
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Question Stats:

76% (01:31) correct 24% (02:53) wrong based on 212 sessions

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A rectangular tabletop consists of a piece of laminated wood bordered by a thin metal strip along its four edges. The surface area of the tabletop is x square feet, and the total length of the strip before it was attached was x feet. If the tabletop is 3 feet wide, what is its approximate length, in feet?

(A) 12
(B) 10
(C) 9
(D) 8
(E) 6
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Re: Problem Solving Question  [#permalink]

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New post 06 Oct 2010, 12:29
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niheil wrote:
Please help me solve the following Problem Solving question. It was asked in one of the GMAT Paper Tests:

A rectangular tabletop consists of a piece of laminated wood bordered by a thin metal strip along its four edges. The surface area of the tabletop is x square feet, and the total length of the strip before it was attached was x feet. If the tabletop is 3 feet wide, what is its approximate length, in feet?

Choices:
(A) 12
(B) 10
(C) 9
(D) 8
(E) 6

Answer
(E) 6


Hi, and welcome to Gmat Club. Below is a solution for your problem.

Given: \(area=length*width=x\), as \(width=3\) --> \(3l=x\).

"Wood bordered by a thin metal strip along its four edges" and "the total length of the strip before it was attached was x" means that perimeter of a rectangular tabletop is also equal to \(x\): \(2(l+w)=2l+6=x\);

So we have: \(3l=2l+6\) --> \(l=6\).

Answer: E.

Hope it's clear.
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Re: Problem Solving Question  [#permalink]

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New post 06 Oct 2010, 12:49
Thanks Bunuel! You are a genius.

Don't you think that this question can be misinterpreted? I imagined the thin metal strip as having a width that does not equal 0. Unless I am mistaken, that would change the answer. I guess the test-makers wanted me to interpret the word "thin" as meaning that the width of the metal strip was 0. Not fair!

Thanks a bunch for your help, Bunuel.
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Re: Problem Solving Question  [#permalink]

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New post 06 Oct 2010, 17:24
1
Hello Guys,
My first post.
In case the metal width is non negligible , lets say its 2 feet.
then
Given: area=length*width=x, as width=3 3L=x

The length of metal strip would be the perimeter of the rectangle + 4 times the width of metal ie length of strip = x= 2(3+L) + (4*2)

Solving for L will give us 14 feet

Please Note the width of the metal strip is multiplied 4 times to get the actual length of metal strip.
Thanks,
Milan
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Re: Problem Solving Question  [#permalink]

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New post 06 Oct 2010, 17:56
Hey Milan,

Yeah, that's what I thought. If the width of the metal strip was non-negligible, then the answer would be different. I think this question can be misinterpreted.
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Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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New post 31 Jan 2014, 20:42
Ambiguous Question. Nowhere explicitly stated that we shouldn't consider the thickness of the thin metal strip.
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Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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New post 27 Mar 2015, 04:28
Bunuel wrote:
niheil wrote:
Please help me solve the following Problem Solving question. It was asked in one of the GMAT Paper Tests:

A rectangular tabletop consists of a piece of laminated wood bordered by a thin metal strip along its four edges. The surface area of the tabletop is x square feet, and the total length of the strip before it was attached was x feet. If the tabletop is 3 feet wide, what is its approximate length, in feet?

Choices:
(A) 12
(B) 10
(C) 9
(D) 8
(E) 6

Answer
(E) 6


Hi, and welcome to Gmat Club. Below is a solution for your problem.

Given: \(area=length*width=x\), as \(width=3\) --> \(3l=x\).

"Wood bordered by a thin metal strip along its four edges" and "the total length of the strip before it was attached was x" means that perimeter of a rectangular tabletop is also equal to \(x\): \(2(l+w)=2l+6=x\);

So we have: \(3l=2l+6\) --> \(l=6\).

Answer: E.

Hope it's clear.


The Highlighted part: I am unable to visualize/understand, how the length of a strip (given) becomes the perimeter of a table top. If it said, total length of the table top is x then maybe it would make sense.
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Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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New post 27 Mar 2015, 04:53
1
earnit wrote:
Bunuel wrote:
niheil wrote:
Please help me solve the following Problem Solving question. It was asked in one of the GMAT Paper Tests:

A rectangular tabletop consists of a piece of laminated wood bordered by a thin metal strip along its four edges. The surface area of the tabletop is x square feet, and the total length of the strip before it was attached was x feet. If the tabletop is 3 feet wide, what is its approximate length, in feet?

Choices:
(A) 12
(B) 10
(C) 9
(D) 8
(E) 6

Answer
(E) 6


Hi, and welcome to Gmat Club. Below is a solution for your problem.

Given: \(area=length*width=x\), as \(width=3\) --> \(3l=x\).

"Wood bordered by a thin metal strip along its four edges" and "the total length of the strip before it was attached was x" means that perimeter of a rectangular tabletop is also equal to \(x\): \(2(l+w)=2l+6=x\);

So we have: \(3l=2l+6\) --> \(l=6\).

Answer: E.

Hope it's clear.


The Highlighted part: I am unable to visualize/understand, how the length of a strip (given) becomes the perimeter of a table top. If it said, total length of the table top is x then maybe it would make sense.


We are told that tabletop is surrounded by a thin metal strip along its four edges and the total length of the strip before it was attached was x feet. So, the length of the strip equals to the perimeter of the tabletop.

Does this make sense?
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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New post 27 Mar 2015, 07:35
[/quote]

The Highlighted part: I am unable to visualize/understand, how the length of a strip (given) becomes the perimeter of a table top. If it said, total length of the table top is x then maybe it would make sense.[/quote]

We are told that tabletop is surrounded by a thin metal strip along its four edges and the total length of the strip before it was attached was x feet. So, the length of the strip equals to the perimeter of the tabletop.

Does this make sense?[/quote]

Yes it does.

Thank you!
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Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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Re: A rectangular tabletop consists of a piece of laminated wood &nbs [#permalink] 24 Dec 2017, 09:46
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