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

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Math Expert
Joined: 02 Sep 2009
Posts: 44617
The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink]

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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
[Reveal] Spoiler: OA

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Intern
Joined: 14 Mar 2018
Posts: 10
Re: The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink]

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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
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 1001
The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink]

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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 $$32$$.

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Joined: 26 Mar 2013
Posts: 1612
Re: The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink]

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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

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2273
Re: The ratio of the length of a rectangular patio to its width is 3.5 to [#permalink]

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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

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Jeffery Miller

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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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