math

posted by .

A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?

  • math -

    1000 * 500

  • math -

    This is a quadratic equation where perimeter is only 3 sides so p=l x 2w and if width is x then side is 2000-2x then area = x(2000-2x) = 2000x-2x^2 the vertex of this parabola will be x=500 and length is 1000 for area=500000
    calculus derivative =2000-4x=0 for max-min point and x=500

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A farmer with 8000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed?
  2. intermediate algebra

    A farmer with 3000 feet of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?
  3. intermediate algebra

    A farmer with 3000 feet wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?
  4. Algebra 2

    A farmer wants to enclose three sides of a rectangular area that borders a creek. He has 2400 meters of fencing material. What is the maximum area that can be enclosed by the fence?
  5. Math

    A farmer has 80 feet of fencing, which she plans to use to fence in a plot of land for a pigpen. If she chooses to enclose a plot along the broad side of her barn, what is the largest area that can be enclosed?
  6. math

    A rancher with 7000 yds of fencing wants to enclose a rectangular field that borders a straight highway and then wants to devide it into two plots with a fence parellel to the highway. If no fence is needed along the highway, what …
  7. Pre calc

    A farmer with 2000 meters of fencing wants to enclose a rectangular field that borders a barn. If the farner does not fence the side along the barn, what is the largest area that can be enclosed?
  8. algebra

    Farmer Ed has 9 comma 0009,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the largest area that can be​ enclosed?
  9. Algebra

    Farmer Ed has 9,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the largest area that can be​ enclosed?
  10. Math(HELP!)

    A farmer has 120 feet of fencing to enclose a rectangular plot for some of his animals. One side of the area borders on a barn. a.) If the farmer does not fence the side along the barn, find the length and width of the plot that will …

More Similar Questions