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# The length of a rectangle is two more than twice its width, and the ar

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Math Expert
Joined: 02 Sep 2009
Posts: 53061
The length of a rectangle is two more than twice its width, and the ar  [#permalink]

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28 Jan 2019, 03:05
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:27) correct 33% (02:14) wrong based on 16 sessions

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The length of a rectangle is two more than twice its width, and the area of the rectangle is 40. What is the rectangle’s perimeter?

A. 14
B. 18
C. 24
D. 28
E. 32

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Joined: 15 Sep 2013
Posts: 5
Re: The length of a rectangle is two more than twice its width, and the ar  [#permalink]

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28 Jan 2019, 04:14
D. 28. let x be width; Area = 40 = x * (2x+2) ; thus x = 4; Perimeter = 2x + 2(2x+2) = 28
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Re: The length of a rectangle is two more than twice its width, and the ar  [#permalink]

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28 Jan 2019, 05:27
Bunuel wrote:
The length of a rectangle is two more than twice its width, and the area of the rectangle is 40. What is the rectangle’s perimeter?

A. 14
B. 18
C. 24
D. 28
E. 32

l=2w+2
(2w+w)*w=40
w=4,-5
w=4
l=10
so 2(10+4) = 28
IMO D
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Re: The length of a rectangle is two more than twice its width, and the ar   [#permalink] 28 Jan 2019, 05:27
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