P is the midpoint of \(\overline{BD}\). \(AP = BP = 4\) ,\(\overline{AP} \perp \overline{BD}\) , \(\overline{BD} \perp \overline{DC}\), \(\overline{AB} \perp \overline{BC}\) In simple radical form, what is the perimeter of pentagon \(ABCDP\) ?
What is the perimeter of pentagon ?