A garden measuring 4 \(m\) by 22 \(m\) is to have a pedestrian pathway that is ‘\(w\)’ meters wide installed all the way around so that it increases the total area to 285 \(m^2\). Determine the width \((w)\) of the pathway?
The width of the pathway \(=\) \(m\).
[Note: Enter the answer rounded off to three decimal places.]