geometry

posted by .

ye has 44 feet of fencing to enclose a rectangular garden. She wants to to enclose as much area as possible. use trial and error to find maximur are faye can enclose with all 44 feet of fence. name the lencth and width that gives maximum area.

  • geometry -

    length + width = 22
    w = 22-L
    A = w L = (22-L)L

    A = 22 L - L^2

    that is a parabola, find the vertex
    L^2 - 22 L = -A
    L^2 - 22 L + 121 = -A+121
    (L-11)^2 = -A + 121
    vertex (maximum of A) at L = 11, A = 121
    then w also = 11
    and it is a SQUARE :)

  • geometry -

    safa

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. college algebra word problem

    Here's the problem I was asked: You are visiting your parents on a farm. They have asked you to design a small rectangular-shaped vegetable garden along an existing wall in their backyard. They wish to surround it with a small fence …
  2. word problem

    A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80 feet of fence?
  3. Algebra

    A rancher wishes to enclose a rectangular partitioned corral with 1932 feet of fencing. What dimensions of the corral would enclose the largest possible area?
  4. College Algebra

    A rancher wishes to enclose a rectangular partitioned corral with 1932 feet of fencing. What dimensions of the corral would enclose the largest possible area?
  5. Math

    1. A gardener has 140 feet of fencing to fence in a rectangular vegetable garden. Find the dimensions of the largest area he can fence. Find the possible rectangular area he can enclose. 2. Suppose a farmer has a large piece of land …
  6. Math

    1. A man has 22 feet by 26 feet rectangular lot that he will use for planting. He wants to build a brick of walkway of uniform width on the border of the lot. If the man wants to have 396 square feet of ground left for planting, how …
  7. 5th grade math

    mrs. watterson wants to fence in an area for her dog. she has 72 feet of fencing and wants to use all of it to enclose a space with the greatest possible area. which dimensions will give her a space with the greatest possible area?
  8. Math

    Tiffany is constructing a fence around a rectangular tennis court. She must use 300 feet of fencing. The fence must enclose all four sides of the court. Regulation states that the length of the fence enclosure must be at least 80 feet …
  9. Geometry

    Ralph wants to put a fence around his rectangular garden. His garden measures 53 feet by 55 feet.The garden has a path around it that is 3 feet wide. How much fencing material does Ralph need to enclose the garden and path?
  10. Calculus 1

    Rick has 1200 feet of fence that he wants to use to enclose a rectangular garden. Find the maximum area the garden can have.

More Similar Questions