Problem 45346. Grazing-02

Created by Asif Newaz

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A cow is tied to an outside corner of a rectangular barn of size (a,b) with a rope of length l. What is the maximum area the cow can graze outside the barn?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:hyperlink w:docLocation=\"https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\"><w:r><w:t>&lt;https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg</w:t></w:r></w:hyperlink><w:r><w:t>&gt;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>n.b. the test suites will be expanded later</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

32 Solutions
9 Solvers

Last Solution submitted on Dec 30, 2020

Last 200 Solutions

Problem Comments

5 Comments

5 Comments

Show 2 older comments

William on 20 Feb 2020

Asif -- I am getting a different result for test problem 6.

David Hill on 21 Feb 2020

I got the same answer as you. I think it is correct.

Asif Newaz on 21 Feb 2020

@william
in test 6,there will be an overlap. if u consider that, i think it should be ok.
i'll add some more test cases like that.

William on 21 Feb 2020

Ooops! I didn't consider that.

Atsushi Ueno on 11 Mar 2020

If the rope is so longer than the rectangle barn and the cow can turn round and round, 3 of "4 quadrants" does not increase the grazing area, it is just 3/4 sector of a circle. The problem is 1 of 4 quadrants.

Problem Recent Solvers9

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 45346. Grazing-02

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers9

Suggested Problems

More from this Author150

Problem Tags

Community Treasure Hunt

Problem 45346. Grazing-02

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers9

Suggested Problems

More from this Author150

Problem Tags

Community Treasure Hunt

Players