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# A 3-sided rectangular pen is being built to hold 15 cows while allowin

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
A 3-sided rectangular pen is being built to hold 15 cows while allowin  [#permalink]

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17 Sep 2018, 21:10
00:00

Difficulty:

65% (hard)

Question Stats:

33% (13:16) correct 67% (02:01) wrong based on 15 sessions

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A 3-sided rectangular pen is being built to hold 15 cows while allowing them access to a river. If each cow requires 30 square feet of grazing inside the pen and the sides of the fence will be built to integer lengths, which of the following could be the length of the fencing required to build the pen?

A. 45
B. 55
C. 62
D. 65
E. 70

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Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: A 3-sided rectangular pen is being built to hold 15 cows while allowin  [#permalink]

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17 Sep 2018, 23:24
Bunuel wrote:
A 3-sided rectangular pen is being built to hold 15 cows while allowing them access to a river. If each cow requires 30 square feet of grazing inside the pen and the sides of the fence will be built to integer lengths, which of the following could be the length of the fencing required to build the pen?

A. 45
B. 55
C. 62
D. 65
E. 70

total area required by cows = 15*30 = 450
450 = (1,450) (2,225) (3,150) (5,90) (6,75) (9,50) (10,45)
since one side of the pen is river , perimeter = 2L+B = 2*10+45=65
D
Re: A 3-sided rectangular pen is being built to hold 15 cows while allowin &nbs [#permalink] 17 Sep 2018, 23:24
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