Asked by Shatina
                A horse breeder wants to construct a corral next to a horse barn that is L=16 feet long, using the barn as part of one side of the corral as shown in the figure above. The breeder has 280 feet of fencing available.
Find the value of x which maximizes the amount of area the corral can enclose
            
        Find the value of x which maximizes the amount of area the corral can enclose
Answers
                    Answered by
            Scott
            
    no figure?
    
                    Answered by
            Steve
            
    Since 16 feet of fencing is not used, it is the same as if a complete rectangle of perimeter 296 were being built.
The maximum area will be for a square of side 296/4 = 74 feet.
To work it out, let x be the side with the barn in it. Then we have
2x-16+2y=280
x+y=148
the area is
a = xy = x(148-x) = 148x-x^2
the vertex is at x = -b/2a = 74
    
The maximum area will be for a square of side 296/4 = 74 feet.
To work it out, let x be the side with the barn in it. Then we have
2x-16+2y=280
x+y=148
the area is
a = xy = x(148-x) = 148x-x^2
the vertex is at x = -b/2a = 74
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.