Find the surface area of the composite figure.
Starting with the purple figure,
(4x3) + 2(8x3) + 2(8x4) = 12 + 48 + 64 = 124cm^2
Next the yellow figure,
2(5x10) + 2(5x7) + (10x7) + ((10x7) - (4x3)) = 100 + 70 + 70 + 58 = 298cm^2
Total surface area = 124 + 298 = 422 cm^2