math

Farmer Hodges has 50 feet of fencing to make a rectangular hog pen beside a very large barn. He needs to fence only three sides because the barn will form the fourth side. Studies have shown that under those conditions the side parallel to the barn should be 5 feet longer than twice the width. If farmer Hodges uses all of the fencing, what should the dimensions be?

  1. 👍 0
  2. 👎 0
  3. 👁 741
  1. let the width be x ft
    length is 2x+5

    we need 2 widths and one length
    2x+5 + x + x = 50
    4x = 45
    x = 45/4 = 11.25 ft

    width = 11.25
    length = 27.50

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. Math

    A pig farmer wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 940 feet of fencing available to complete the job. What is

  3. calculus

    if a farmer has 100 feet of fence and wants to make a rectangular pigpen, one side of which is along existing straight fence.What dimensions should be used in order to maximize the area of the pen?

  4. algebra

    Daisy is building a rectangular pen for her chickens along one wall in her back yard. She needs to build a fence along the remaining three sides of the pen. She represents this situation with the inequality w+2ℓ≤125. Which

  1. Math

    A farmer wishes to put a fence around a rectangular field and then divide the field into three rectangular plots by placing two fences parallel to one of the sides. If the farmer can afford only 1600 yards of fencing, what

  2. Math

    A rectangular dog pen is to be constructed using a barn wall as one side and 60 meters of fencing for the other three sides. Find the dimensions of the pen that maximize the pen's area.

  3. pre-calc

    area of a rectangular region: a farmer wishes to create two rectangular regions bordering a river, by three fences perpendicular to the river and one connecting them. suppose that x represents the length of each of the three

  4. 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

  1. math

    a rectangular pen is to be constructed alongside a barn using 120 feet of fencing. the barn will be used for one side of the pen. What should the dimensions of the pen be to maximize its area. ***Can not use calculus. This is a

  2. calculus optimization problem

    A farmer has 460 feet of fencing with which to enclose a rectangular grazing pen next to a barn. The farmer will use the barn as one side of the pen, and will use the fencing for the other three sides. find the dimension of the

  3. math-Polya

    What is the largest rectangular chicken pen (enclosure) that a farmer can construct (fence) if he/she is providing with a wire fencing of 20 metres? The farmer is expected to use only full metres for the sides. 1. Use Polya to

  4. Math

    You have 700 ft of fencing to make a pen for hogs. If you have a river on one side of your property, what are the dimensions (in ft) of the rectangular pen that maximize the area? shorter side longer side

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