A rectangular pen is built with one side against a barn. if 300 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen?

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10-04-2018
Mathematics

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A rectangular pen is built with one side against a barn. if 300 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen?

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CastleRook CastleRook · Answer 1 · 2018-04-19T14:01:46+02:00

CastleRook CastleRook

19-04-2018

let w= the length of the side perpendicular to the barn
300-2w= length of the side parallel to the barn
A=w(300-2w)
A=-2w^2+300w
The formula for the w-value of maximum is:
=-b/2a
thus our value will be:
300/4
=75
and
300-2(75)
=150
thus the dimensions to maximize the area is 75 by 150

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A rectangular pen is built with one side against a barn. if 300 m of fencing are used for the other three sides of the​ pen, what dimensions maximize the area of the​ pen?

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A rectangular pen is built with one side against a barn. if 300 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen?