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GRE Prep Club Team Member
Joined: 20 Feb 2017
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The length of a certain rectangle is a multiple of 18, and the width o
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02 Aug 2021, 01:08
02 Aug 2021, 01:08
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The length of a certain rectangle is a multiple of 18, and the width of the rectangle is a multiple of 12. Which of the following CANNOT be the perimeter of the rectangle?
(A) 60
(B) 72
(C) 84
(D) 96
(E) 108
(A) 60
(B) 72
(C) 84
(D) 96
(E) 108
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Re: The length of a certain rectangle is a multiple of 18, and the width o
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03 Aug 2021, 07:38
03 Aug 2021, 07:38
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GeminiHeat wrote:
The length of a certain rectangle is a multiple of 18, and the width of the rectangle is a multiple of 12. Which of the following CANNOT be the perimeter of the rectangle?
(A) 60
(B) 72
(C) 84
(D) 96
(E) 108
(A) 60
(B) 72
(C) 84
(D) 96
(E) 108
If length is a multiple of 18, then let L = 18x
If width is a multiple of 12, then let W = 12y
Perimeter = 2 (18x + 12y)
= 12 (3x + 2y)
Let us check the option choices;
A. 60 = 12 (3x + 2y)
(3x + 2y) = 5
3(1) + 2(1) = 5
B. 72 = 12 (3x + 2y)
(3x + 2y) = 6
No combination possible
C. 84 = 12 (3x + 2y)
(3x + 2y) = 7
3(1) + 2(2) = 7
D. 96 = 12 (3x + 2y)
(3x + 2y) = 8
3(2) + 2(1) = 8
E. 108 = 12 (3x + 2y)
(3x + 2y) = 9
3(1) + 2(3) = 9
Hence, option B
gmatclubot
Re: The length of a certain rectangle is a multiple of 18, and the width o [#permalink]
03 Aug 2021, 07:38
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