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# The length of a rectangular floor is 16 feet and its width is 12 feet.

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Math Expert
Joined: 02 Sep 2009
Posts: 46305
The length of a rectangular floor is 16 feet and its width is 12 feet. [#permalink]

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19 Sep 2017, 23:38
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Question Stats:

88% (00:31) correct 12% (01:52) wrong based on 17 sessions

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The length of a rectangular floor is 16 feet and its width is 12 feet. If each dimension were reduced by s feet to make the ratio of length to width 3 to 2, what would be the value
of s?

(A) 0
(B) 2
(C) 4
(D) 6
(E) 8

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The length of a rectangular floor is 16 feet and its width is 12 feet. [#permalink]

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20 Sep 2017, 11:49
Bunuel wrote:
The length of a rectangular floor is 16 feet and its width is 12 feet. If each dimension were reduced by s feet to make the ratio of length to width 3 to 2, what would be the value
of s?

(A) 0
(B) 2
(C) 4
(D) 6
(E) 8

New dimensions are length = (16-s) and width = (12-s)
Ratio = $$\frac{(16-s)}{(12-s)}$$ = $$\frac{3}{2}$$
32-2s=36-3s
s=4

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The length of a rectangular floor is 16 feet and its width is 12 feet.   [#permalink] 20 Sep 2017, 11:49
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