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A rectangular tabletop consists of a piece of laminated wood
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06 Oct 2010, 12:19
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Difficulty:
35% (medium)
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?
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 \(x\): \(2(l+w)=2l+6=x\);
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!
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.
Re: A rectangular tabletop consists of a piece of laminated wood
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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.
Re: A rectangular tabletop consists of a piece of laminated wood
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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.
Re: A rectangular tabletop consists of a piece of laminated wood
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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.
Re: A rectangular tabletop consists of a piece of laminated wood
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24 Dec 2017, 09:46
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