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A manufacturer is designing two rectangular game boards. The width of

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A manufacturer is designing two rectangular game boards. The width of  [#permalink]

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New post 27 Feb 2019, 23:33
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A manufacturer is designing two rectangular game boards. The width of the smaller board is one-half the width of the larger board, and the length of the smaller board is one-sixth the length of the larger board. If the smaller board has area N, then what is the difference between the areas of the game boards, in terms of N ?

A. 3N
B. 9N
C. 11N
D. 12N
E. 18N

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Re: A manufacturer is designing two rectangular game boards. The width of  [#permalink]

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New post 28 Feb 2019, 04:30
Bunuel wrote:
A manufacturer is designing two rectangular game boards. The width of the smaller board is one-half the width of the larger board, and the length of the smaller board is one-sixth the length of the larger board. If the smaller board has area N, then what is the difference between the areas of the game boards, in terms of N ?

A. 3N
B. 9N
C. 11N
D. 12N
E. 18N


large board width ; w and length = l
small board width ; w/2 & length = L/6
so
w*l= 12 n
and small board area =n
so difference
12n-n ; 11n
IMO C
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Re: A manufacturer is designing two rectangular game boards. The width of   [#permalink] 28 Feb 2019, 04:30
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A manufacturer is designing two rectangular game boards. The width of

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