This is a VGA adapter that plugs into the 6-pin 1.25mm (0.05") pitch connector on the A20-OLinuXino boards.
With this adapter, you can plug in a VGA cable to use your board with a VGA display. The board's Debian Linux image can be set to use one of nine different resolutions to support various monitors and aspect ratios. Please see the board's user manual or Wiki page for instructions on how to set it up to use VGA output and select the resolution for your monitor.
Note that the current Android images for the A20-OLinuXino boards do not support VGA output.