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A rectangular tabletop consists of a piece of laminated wood [#permalink]
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06 Oct 2010, 12:19
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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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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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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 testmakers 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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06 Oct 2010, 17:24
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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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06 Oct 2010, 17:56
Hey Milan,
Yeah, that's what I thought. If the width of the metal strip was nonnegligible, 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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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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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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27 Mar 2015, 04:53
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?
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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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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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