Answer:
521.1 mm²
Explanation:
The shape is made up of a semicircle and a trapezoid.
Area of the shape = area of the semicircle + area of the trapezoid
= ½(πr²) + ½(a + b)*h
Where,
r = radius of the semicircle = ½(20) = 10 mm
a = 20 mm
b = 32 mm
h = height of trapezoid = 14 mm
Plug in the values
Area of the shape = ½(π*10²) + ½(20 + 32)*14
= 157.1 + 364
= 521.1 mm²