Problem 2018. Side of a rhombus

Created by Tanya Morton

Solve Later

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w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Image courtesy of</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://upload.wikimedia.org/wikipedia/commons/b/b5/Rhombus.svg\"><w:r><w:t>Wikipedia</w:t></w:r></w:hyperlink><w:r><w:t>.</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 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"}]}

Solve

Solution Stats

6311 Solutions
4102 Solvers

Last Solution submitted on Dec 01, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Mostafa Nazmi on 17 Dec 2020

Interesting!

Solution Comments

Solution 9600528

1 Comment

1 Comment

Joseph Herman on 25 Oct 2022

This is a good problem, but it isn't clear what x and y are supposed to be in the statement. x is the dotted lines and y is a segment of the outer wall.

Solution 6982264

1 Comment

1 Comment

Haoran Tian on 28 Nov 2021

nice one

Solution 6871474

2 Comments

2 Comments

Josh Klueber on 11 Nov 2021

tricky

Isabella Stellitano on 13 Nov 2021

good problem

Solution 5674830

1 Comment

1 Comment

john perkins on 4 May 2021

nice moderate problem!

Solution 4358515

1 Comment

1 Comment

song peng on 19 Dec 2020

unreasonable

Solution 3802853

1 Comment

1 Comment

Addison King on 23 Nov 2020

nice problem (:

Solution 2590300

1 Comment

1 Comment

Piero Cimule on 20 Jun 2020

y=sqrt((x^2+(x+1)^2)/4);

Solution 1889988

1 Comment

1 Comment

jack walker on 2 Aug 2019

This is confusing because the notation does not match the diagram

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Problem 2018. Side of a rhombus

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Problem 2018. Side of a rhombus

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