Since P, Q, R and S divides AB, BC, CD and DA in half.
∴ AP = PB = BQ = QC = CR = RD = DS = SA = 6 cm.
Given, side of a square BC = 12 cm
Area of the square = 12 × 12 = 144 cm2
Area of the shaded region = Area of the square - (Area of the four quadrants)
Area of one quadrant = (π/4)×(Radius)2 = (3.14/4)× 36 = 113.04/4 cm2
Area of four quadrants = 113.04 cm2
Area of the shaded region = 144-113.04 = 30.96 cm2