ALGEBRA

A farmer has 165 feet of fencing material in which to enclose a rectangle area. He wants the length x to be greater than 50 feet and width y to be no more than 20 feet. write a system to represent this situation.

  1. 👍
  2. 👎
  3. 👁
  1. Let x=length, y=width.
    "A farmer has 165 feet of fencing material in which to enclose a rectangle area." means
    2(x+y)≤165 ....(1)

    "He wants the length x to be greater than 50 feet" means
    x>50 ......(2)

    "and width y to be no more than 20 feet." means
    y&le=20....(3)

    The system is the collection of inequalities (1) to (3).

    1. 👍
    2. 👎
  2. a farmer has 165ft of fencing material in which to enclose a rectangular grazing area. he wants the length x to be greater than 50 and the width y to be no more than 20ft. write a system to represent this situation?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Peter has 1200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area?

  2. 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?

  3. math

    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?

  4. Algebra

    The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 100 feet of fencing available, what is the

  1. math

    suppose you have 54 feet of fencing to enclose a rectangle dog pen . the function a= 27x- x^2 , where x = width , gives you the area of the dog pen in square feet . what width gives you the maximum area ? what is the maximum area

  2. Math

    Diana has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?

  3. Calculus - Optimization

    A fence is to be built to enclose a rectangular area of 800 square feet. The fence along 3 sides is to be made of material $4 per foot. The material for the fourth side costs $12 per foot. Find the dimensions of the rectangle that

  4. math

    An ostrich farmer wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. There are 720 feet of fencing available to complete the job. What is the largest possible

  1. Calculus

    A farmer has 1500 feet of fencing in his barn. He wishes to enclose a rectangular pen. Subdivided into two regions by a section of fence down the middle, parallel to one side of the rectangle. Express the area enclosed by the pen

  2. 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? (Note: The side

  3. 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? Does that mean I have to

  4. math

    A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region

You can view more similar questions or ask a new question.