A gift wrap when opened, resembles a regular octagon. Let the regular octagon be \(ABCDEFGH\). If \(AD =\) 59 \(cm\), \(BC =\) 41 \(cm\), \(BP =\) 40 \(cm\) and \(DE =\) 41 \(cm\), find the area of the octagon formed.
The area of the octagonal gift wrap is \(cm^2\).