What is the area of the shaded part of the figure?

The area is cm^{2}

The whole area is (2 + 6+ 8+ 2) × 10= 180 cm^{2}.

The un-shaded area is 5× 7+ 6× (10- 7) + 10× 2 = 73 cm^{2}.

The shaded area is 180– 73= 107 cm^{2}.