A farmer wants to build a rectangular pen with 80 feet of fencing. The pen will be built against the wall of the barn, so one side of the rectangle won't need a fence. What dimensions will maximize the area of the pen? The length of the pen is feet. The width of thep feet. pen is

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A: Perimeter of a rectangle (P)=2(l+b)where l=length and b=breadthSubstitute…

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A: Let x be the length and y be the width of the pen. According to given, 2(x+y)= 300 150=x+y y=…

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A: Given:Length is twice the ?

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A: Here it is the application of derivatives.

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A: Given: Length of fence available = 100 ft

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A: Draw diagram.for.pen

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A: x=width  y=length total fence length is p=100 yards p=2x+y 100=2x+y y=100-2x

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A: Let width=x and length= y  So, 2x+y=200 Or, y=200-2x

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A: topic- application of derivatives

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A: To Determine: The principal of a private elementary school wants to construct a rectangular garden.…