37. Optimal garden A rectangular flower garden with an area of 30 m2 is surrounded by a grass border 1 m wide on twosides and 2 m wide on the other two sides (see figure). What dimensions of the garden minimize the combined areaof the garden and borders?2 mFlower garden1 m

Answered: Image /qna-images/answer/630fc35d-d6aa-4069-9470-8abcd8417f94.jpg

Answered: 37. Optimal garden A rectangular flower…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The fence around the garden Mandla would like to erect a fence on all four sides of his new garden with an area of 225m". The fencing will cost him R35 per metre. In order to use the least fencing, he wants the perimeter of the garden to be a minimum. The fence will be supported by wooden fence poles, approximately 1,5m apart. A gate 1,5m long, made of the same fence, can be placed between any two poles. Each wooden fence pole will cost R9.50 3.1 For minimum perimeter, what shape should the garden be? 3.2 Calculate the length of each side of the garden. 3.3 How many metres of fencing will he need? 3.4 How many fence poles will he need? 3.5 How much will the fencing and the fence poles, excluding the gate, cost him?
1: Minimum perimeter (four sides) for a given area Abdul has 36 square patio tiles that have side measurements of 1 ft. He wants to surround the patio with railing to enclose it. To minimize the cost, he wants the perimeter to be as small a possible given that the area of the patio is 36 ft². Determine the dimensions of the rectangular patio that will minimize the cost. Diagram Length (m) Width (m) Perimeter (m) Area (m²)
You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 525 cm³. The material for the base of the box costs 7 cents/cm² and the material for the sides of the box costs 2 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Width Height = cm cm
We are designing a poster to contain 250 cm2 of printing with a 1-centimeter wide margin at the top and bottom and a 4-centimeter wide margin at each side. What overall dimensions will minimize the amount of paper used? horizontal length of printed area: centimeters vertical length of printed area: centimeters

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

37. Optimal garden A rectangular flower garden with an area of 30 m2 is surrounded by a grass border 1 m wide on two sides and 2 m wide on the other two sides (see figure). What dimensions of the garden minimize the combined area of the garden and borders? 2 m Flower garden 1 m