Octagon AQBRCSDP is inscribed in square WXYZ, and AP = PD = DS = SC = CR = RB = BQ = QA. The are of WXYZ is 64, and angle Q, Angle R, Angle S, and Angle P are all 120 degrees. If AB, BC, CD, and DA are perpendicular to QX, RY, SZ and WP respectively, what is the area of octagon AQBRCSDP? If there are any square roots, cube roots...etc. in your SIMPLIFIED answer, please round them to the nearest hundredth, THEN calculate. BE VERY CAREFUL. DO NOT ROUND FIRST THEN SIMPLIFY. SIMPLIFY --> ROUND ROOTS ONLY --> CALCULATE. If in your final answer (AFTER CALCULATION), there are non-terminating decimals, round to nearest thousandth.

Sorry if picture is unclear. Letter in bottom left is Z and letter in the middle of the base (YZ) is Q.

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