Answer:
60.5 cm²
Explanation:
You want the shaded area of a parallelogram that has a trapezoid shape removed from it.
Parallelogram area
The area of the parallelogram is the product of its base and height:
A = bh
A = (10 cm)(8 cm) = 80 cm²
Trapezoid area
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(5.5 cm +7.5 cm)(3 cm) = 1/2(13 cm)(3 cm) = 19.5 cm²
Shaded area
The shaded area is the area of the parallelogram less the unshaded area of the trapezoid:
shaded = 80 cm² -19.5 cm² = 60.5 cm²
The shaded part of the figure has an area of 60.5 cm².