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

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Bunuel
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The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink] New post   21 Mar 2018, 23:02
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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
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Re: The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink] 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] New post   22 Mar 2018, 02:10
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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] 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] New post   23 Mar 2018, 12:40
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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] New post   09 Jul 2021, 11:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink]
09 Jul 2021, 11:42
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