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The ratio of the length of a rectangular patio to its width is 3.5 to

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The ratio of the length of a rectangular patio to its width is 3.5 to  [#permalink]

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New post 21 Mar 2018, 23:02
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Re: The ratio of the length of a rectangular patio to its width is 3.5 to  [#permalink]

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New post 21 Mar 2018, 23:16
Bunuel wrote:
The ratio of the length of a rectangular patio to its width is 3.5 to 2. If the rectangle’s width is 18 feet, its length, in feet, is closest to which of the following?

(A) 14
(B) 22
(C) 26
(D) 32
(E) 52


2 --- 18
1---9
3.5---31.5

D
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The ratio of the length of a rectangular patio to its width is 3.5 to  [#permalink]

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New post 22 Mar 2018, 02:10

Solution



We are given:
    • The width of the rectangular patio= 18 feet

Let us assume that the length of the rectangular patio is ‘\(l\) feet’ and width is ‘\(w\) feet’.

    • Thus,\(l: w = 3.5: 2\)

    • \(\frac{l}{18}=\frac{3.5}{2}\)

    • \(l=9*3.5= 31.5\)

    • Since the digit after the decimal point is \(5\), we will round the units digit of \(31.5\) to the successive integer.

    Hence, the integer closest to \(31.5\) is \(32\).

Answer: D
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Re: The ratio of the length of a rectangular patio to its width is 3.5 to  [#permalink]

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New post 23 Mar 2018, 10:05
Bunuel wrote:
The ratio of the length of a rectangular patio to its width is 3.5 to 2. If the rectangle’s width is 18 feet, its length, in feet, is closest to which of the following?

(A) 14
(B) 22
(C) 26
(D) 32
(E) 52


Lenght/Width = 3.5/2 = 35/20 = 7/4 = 28/16

Width =18 is between 16 and 20..........the length must be 28 and 35.........only one answer fits 32

Answer: D
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Re: The ratio of the length of a rectangular patio to its width is 3.5 to  [#permalink]

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New post 23 Mar 2018, 12:40
Bunuel wrote:
The ratio of the length of a rectangular patio to its width is 3.5 to 2. If the rectangle’s width is 18 feet, its length, in feet, is closest to which of the following?

(A) 14
(B) 22
(C) 26
(D) 32
(E) 52



We can create the proportion, letting L = the actual length of the patio:

3.5/2 = L/18

63 = 2L

31.5 = L

Answer: D
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Re: The ratio of the length of a rectangular patio to its width is 3.5 to   [#permalink] 23 Mar 2018, 12:40
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