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I don't believe there is any true way to measure the distance between two vertices in the uv image editor, but there is a fairly simple workaround.

Finding the (x,y) distance between two points

With your mesh unwrapped and the UV/image editor open, open the properties panel within the editor via n. At the top there will be what is called "UV vertex". Once you select a vertex it will tell you the coordinates of the vertex.
[![Selected Vertex][1]][1]
Okay, now the hard part. After finding the coordinates of the second vertex use the distance formula, which is: √ (x2−x1)2+(y2−y1)2 
This online distance caculator should make things easier.

Duplicating a UV island

*In 3D View*

First and foremost you must select the desired UV island, like so:
1. Enter edit mode TAB
2. Put select mode on "face" CTRL+TAB
3. Hover mouse over the desired UV island and press L.
4. Hit Shift+D

*In UV/Image Editor*
Whatever you copy and paste in 3-D view should appear in the image editor.

References

httphttps://blender.stackexchange.com/questions/16184/how-to-select-a-uv-island [1]: https://i.sstatic.net/reyV1.png

I don't believe there is any true way to measure the distance between two vertices in the uv image editor, but there is a fairly simple workaround.

Finding the (x,y) distance between two points

With your mesh unwrapped and the UV/image editor open, open the properties panel within the editor via n. At the top there will be what is called "UV vertex". Once you select a vertex it will tell you the coordinates of the vertex.
[![Selected Vertex][1]][1]
Okay, now the hard part. After finding the coordinates of the second vertex use the distance formula, which is: √ (x2−x1)2+(y2−y1)2 
This online distance caculator should make things easier.

Duplicating a UV island

*In 3D View*

First and foremost you must select the desired UV island, like so:
1. Enter edit mode TAB
2. Put select mode on "face" CTRL+TAB
3. Hover mouse over the desired UV island and press L.
4. Hit Shift+D

*In UV/Image Editor*
Whatever you copy and paste in 3-D view should appear in the image editor.

References

http://blender.stackexchange.com/questions/16184/how-to-select-a-uv-island [1]: https://i.sstatic.net/reyV1.png

I don't believe there is any true way to measure the distance between two vertices in the uv image editor, but there is a fairly simple workaround.

Finding the (x,y) distance between two points

With your mesh unwrapped and the UV/image editor open, open the properties panel within the editor via n. At the top there will be what is called "UV vertex". Once you select a vertex it will tell you the coordinates of the vertex.
[![Selected Vertex][1]][1]
Okay, now the hard part. After finding the coordinates of the second vertex use the distance formula, which is: √ (x2−x1)2+(y2−y1)2 
This online distance caculator should make things easier.

Duplicating a UV island

*In 3D View*

First and foremost you must select the desired UV island, like so:
1. Enter edit mode TAB
2. Put select mode on "face" CTRL+TAB
3. Hover mouse over the desired UV island and press L.
4. Hit Shift+D

*In UV/Image Editor*
Whatever you copy and paste in 3-D view should appear in the image editor.

References

https://blender.stackexchange.com/questions/16184/how-to-select-a-uv-island [1]: https://i.sstatic.net/reyV1.png
Source Link

I don't believe there is any true way to measure the distance between two vertices in the uv image editor, but there is a fairly simple workaround.

Finding the (x,y) distance between two points

With your mesh unwrapped and the UV/image editor open, open the properties panel within the editor via n. At the top there will be what is called "UV vertex". Once you select a vertex it will tell you the coordinates of the vertex.
[![Selected Vertex][1]][1]
Okay, now the hard part. After finding the coordinates of the second vertex use the distance formula, which is: √ (x2−x1)2+(y2−y1)2 
This online distance caculator should make things easier.

Duplicating a UV island

*In 3D View*

First and foremost you must select the desired UV island, like so:
1. Enter edit mode TAB
2. Put select mode on "face" CTRL+TAB
3. Hover mouse over the desired UV island and press L.
4. Hit Shift+D

*In UV/Image Editor*
Whatever you copy and paste in 3-D view should appear in the image editor.

References

http://blender.stackexchange.com/questions/16184/how-to-select-a-uv-island [1]: https://i.sstatic.net/reyV1.png