We know that

Area of square = 1/2 (diagonal)^{2}

Area of the given kite = 1/2(32cm)^{2} = 512 cm^{2}

Area of 1st shade = Area of 2nd shade

= 512 cm^{2}/2 = 256 cm^{2}

Therefore, the area of paper required in each shape is 256 cm^{2}.

For III^{rd} triangle

Semi-perimeter, S = (6 + 6 + 8)cm/2 = 10 cm

By Heron’s formula,

Area of paper required for III^{rd} shade = 17.92 cm^{2}