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06 Oct 2010, 12:19
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (02:18) correct
27%
(02:27)
wrong
based on 865
sessions
History
Date
Time
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Not Attempted Yet
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
(A) 12
(B) 10
(C) 9
(D) 8
(E) 6
06 Oct 2010, 12:29
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niheil
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
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.
General Discussion
06 Oct 2010, 12:49
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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.
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.
