Fencing a field A farmer wishes to put a fence around a rec-tangular field and then divide the field into three rectangu-lar plots by placing two fences parallel to one of the sides.If the farmer can afford only 1000 yards of fencing, what di-mensions will give the maximum rectangular area?

Let W be the width of the field. Let L be the width of the field. Let A be…

Answered: Fencing a field A farmer wishes to put…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter64: Volumes Of Spheres And Composite Solid Figures

Section: Chapter Questions

Problem 5A

See similar textbooks

Similar questions

Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
A beach tent is designed so that one side is open. Find the number of square feet of canvas needed to make the tent.
Examine several rectangles, each with a perimeter of 40 in., and find the dimensions of the rectangle that has the largest area. What type of figure has the largest area?
Does a square have a an incenter? b a circumcenter?
A 5-inch by 7-inch picture is surrounded by a frame of uniform width. The area of the picture and frame together is 80squareinches. Find the width of the frame.
One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.
Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside measurements of his house are 80 ft by 35 ft. The driveway measures 30 ft by 20 ft. All shapes are rectangular. aWhat is the square footage of his yard that needs to be fertilized? bIf each bag of fertilizer covers 5000ft2, how many bags should Tom buy? cIf the fertilizer costs 18 per bag, what is his total cost?
A copper casting is in the shape of a prism with an equilateral triangle base. The length of each base side is 17.80 centimeters, and the casting height is 16.23 centimeters. Copper weighs 8.8 grams per cubic centimeter. Determine the weight of the casting in kilograms. One kilogram equals 1000 grams. Round the answer to 2 decimal places.
Farmer Watson wishes to fence a rectangular plot of ground measuring 245 ft by 140 ft. aWhat amount of fencing is needed? bWhat is the total cost of the fencing if it costs 1.59 per foot?
Lay out the gage shown. Make the layout full size using construction methods. Use a protractor only for checking. All dimensions are in inches.
In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS

Fencing a field A farmer wishes to put a fence around a rec- tangular field and then divide the field into three rectangu- lar plots by placing two fences parallel to one of the sides. If the farmer can afford only 1000 yards of fencing, what di- mensions will give the maximum rectangular area?