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Freddy has a piece of string that is 20 inches long. He wants to use t

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Freddy has a piece of string that is 20 inches long. He wants to use t [#permalink]

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New post 01 May 2017, 11:10
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Question Stats:

88% (00:42) correct 12% (00:36) wrong based on 41 sessions

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Freddy has a piece of string that is 20 inches long. He wants to use the string as the perimeter of a rectangle. What is the greatest area that rectangle could have?

A. 5
B. 10
C. 20
D. 25
E. 40
[Reveal] Spoiler: OA

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Re: Freddy has a piece of string that is 20 inches long. He wants to use t [#permalink]

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New post 01 May 2017, 11:34
Top Contributor
SajjadAhmad wrote:
Freddy has a piece of string that is 20 inches long. He wants to use the string as the perimeter of a rectangle. What is the greatest area that rectangle could have?

A. 5
B. 10
C. 20
D. 25
E. 40


For all the rectangles with a given area the rectangle with all 4 sides equal (Square) will have the maximum area
So, Perimeter of square = 4a = 20 => a = 5
Area = a*a = 5*5=25
Answer D
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Re: Freddy has a piece of string that is 20 inches long. He wants to use t [#permalink]

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New post 20 Aug 2017, 05:30
We can use elimination and addition here:
e - 40 : 2*20 here total of sides is 40+4 so not possible/ 8*5 total of sides 16 plus 10 exceeds 20/ 4*10 total 28 total so 40 ruled out
d- 25 --> 5*5 = 25 -- total of side 20; can keep
a,bc, too small in terms of total of sides
Ans D

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Re: Freddy has a piece of string that is 20 inches long. He wants to use t   [#permalink] 20 Aug 2017, 05:30
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