Asked by Gary
A farmer has 2,400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write the function that will produce the largest area if x is the short side of the rectangle.
Answers
Answered by
Steve
2x+y = 2400
so, y = 2400-2x
a = xy = x(2400-2x) = 2400x-2x^2
That is just a parabola, with vertex at x=600
So, the field is 600 x 1200
As usual, these problems achieve maximum area when the perimeter is divided equally among lengths and widths.
so, y = 2400-2x
a = xy = x(2400-2x) = 2400x-2x^2
That is just a parabola, with vertex at x=600
So, the field is 600 x 1200
As usual, these problems achieve maximum area when the perimeter is divided equally among lengths and widths.
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.