2.A farmer has 1200 m of fencing and wishes to enclose a rectangular field. OneSide of the field is against a country road that is already fenced, so the farmerneeds to fence only the remaining three sides of the field. The farmer wants toenclose the maximum possible area and to use all the fencing. What dimensionswill achieve this goal?

To find the dimensions of the rectangular field that enclose the maximum possible area.

Answered: A farmer has 1200 m of fencing and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Similar questions

Find the dimensions of a rectangle knowing that its perimeter is 372 m and that the length is 15 m less than the double of the width. 26
The United States Postal Service ships a package under large-package rates if the sum of the Tength and the girth of the package is greater than 84 inches and less than or equal to 108 inches. The "length" of the package is considered to be the length of its longest side, and the "girth" of the package is the distance around the package perpendicular to its length. Fran wants to ship packages under the USPS large-package rates. Her package is a rectangular solid (see picture) whose length is 40 inches. What is the largest volume that her package can have?
A length of wire that is 160 cm long is cut into two pieces: one to form an equilateral triangle and the other to form a circle. Where do you cut the wire to makes shapes that enclose a maximum amount of area for the two shapes? Where do you cut the wire to enclose a minimum amount of area for the two shapes?
A rectangular tile has a length of 4X cm and width (x+3) cm. The area of a reactangle is less than 112 square cm. What are the possible width?
A fence is to be built to enclose a rectangular area of 300 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material along the fourth side costs 12 dollars per foot. Find the length and width of the enclosure that is most economical to construct.
A farmer has 780 yd of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river, that side does not need to be fenced. Side b must be twice as long as side a. Find the dimensions of the rectangular pasture. The length of side a is The length of side b is yd. yd. b

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