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A rectangular tabletop consists of a piece of laminated wood

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VP
Joined: 30 Sep 2004
Posts: 1415
Location: Germany
A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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13 Feb 2005, 12:31
1
9
00:00

Difficulty:

45% (medium)

Question Stats:

70% (01:44) correct 30% (02:02) wrong based on 253 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

OPEN DISCUSSION OF THIS TOPIC IS HERE: a-rectangular-tabletop-consists-of-a-piece-of-laminated-wood-102356.html
Senior Manager
Joined: 02 Feb 2004
Posts: 336

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13 Feb 2005, 16:50
christoph wrote:
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

length of the strip before it was attached was x feet.
width=3
length=x-(2*3)=x-6 feet
so area= 3(x-6)=x sq feet
3x-18=x
x=9

What's wrong with this?
VP
Joined: 13 Jun 2004
Posts: 1066
Location: London, UK
Schools: Tuck'08

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13 Feb 2005, 22:52
mirhaque wrote:
christoph wrote:
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

length of the strip before it was attached was x feet.
width=3
length=x-(2*3)=x-6 feet so area= 3(x-6)=x sq feet
3x-18=x
x=9

What's wrong with this?

the calculation is incorrect.
the length is (x-6)/2 and not x-6 which actually is the sum of both lengths

so area= (x-6)/2*3 =x
(3x-18)/2=x
3x-18 = 2x
x = 18

if width = 3 and surface = 18, so length is 6
SVP
Joined: 06 Sep 2013
Posts: 1696
Concentration: Finance
Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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12 Jan 2014, 12:05
1
christoph wrote:
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

LW = X
LW = 2(L+W)

W = 3

So replacing

L = 6

Just my 2cents

Hope it helps

Cheers!
J
Math Expert
Joined: 02 Sep 2009
Posts: 52902
Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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12 Jan 2014, 17:26
2
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

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: $$3l=2l+6$$ --> $$l=6$$.

OPEN DISCUSSION OF THIS TOPIC IS HERE: a-rectangular-tabletop-consists-of-a-piece-of-laminated-wood-102356.html
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Joined: 09 Sep 2013
Posts: 9835
Re: A rectangular tabletop consists of a piece of laminated wood  [#permalink]

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14 Oct 2018, 04:31
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Re: A rectangular tabletop consists of a piece of laminated wood   [#permalink] 14 Oct 2018, 04:31
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