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# The perimeter of rectangle R is equal to 8 times the width of rectangl

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Math Expert
Joined: 02 Sep 2009
Posts: 50044
The perimeter of rectangle R is equal to 8 times the width of rectangl  [#permalink]

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16 Apr 2018, 05:00
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Difficulty:

15% (low)

Question Stats:

92% (00:49) correct 8% (00:46) wrong based on 38 sessions

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The perimeter of rectangle R is equal to 8 times the width of rectangle R. What is the ratio of length to width for rectangle R?

A. 1:2
B. 2:1
C. 3:1
D. 4:1
E. 8:1

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Re: The perimeter of rectangle R is equal to 8 times the width of rectangl  [#permalink]

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16 Apr 2018, 08:43
Bunuel wrote:
The perimeter of rectangle R is equal to 8 times the width of rectangle R. What is the ratio of length to width for rectangle R?

A. 1:2
B. 2:1
C. 3:1
D. 4:1
E. 8:1

Choose a convenient number such as 8. The width will be equal to 1 = Perimeter = 2W+2L . where W = Width and L = Length
2W + 2L = 8

2(1) + 2L = 8

2+2L = 8

2L = 6

L =3

Therefore the ratio of length to width for rectangle R is 3: 1

Hence option C = 3:1 is the answer.
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The perimeter of rectangle R is equal to 8 times the width of rectangl  [#permalink]

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22 Apr 2018, 16:16
Bunuel wrote:
The perimeter of rectangle R is equal to 8 times the width of rectangle R. What is the ratio of length to width for rectangle R?

A. 1:2
B. 2:1
C. 3:1
D. 4:1
E. 8:1

Perimeter of rectangle = $$2L + 2W$$
Perimeter of rectangle = $$8W$$
Ratio of length to width = $$\frac{L}{W}$$?

$$2L + 2W = 8W$$
$$2L = 6W$$
, so
$$\frac{L}{W}=\frac{6}{2}=\frac{3}{1}$$

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The perimeter of rectangle R is equal to 8 times the width of rectangl &nbs [#permalink] 22 Apr 2018, 16:16
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