Answered: a wire 34 cm long is cut into 2 pieces.…

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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A farmer wants to fence a rectangular lot. Additional fencing is needed to sub-divide the area into three equal parts. The cost of material to fence the outer boundaries is P200/meter and P100/meter for the inner boundaries. If the budget of the farmer is P20,000, what is the largest area?
A 40 inch wire is to be cut. One piece is to be bent into the shape of a square, whereas the other piece is to be bent into the shape of a rectangle whose length is twice the width. Find the width of the rectangle that will minimize the total area. What is the width of the rectangle that will minimize the total area? inches (Round to the nearest tenth as needed.)
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.

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a wire 34 cm long is cut into 2 pieces. One piece is bent to form a square and the other is bent to form a rectangle that is twice as wide as it is long. How should the wire be cut in orderto minimize the total area of square and rectangle?