Answer:
553.43 cm²
Step-by-step explanation:
This is a composite figure, so we will need to find the area of the semicircle separately from the area of the trapezoid and then add them together in the end.
Trapezoid
A = h(b1+b2)/2
A=8cm(20cm+30cm)/2
A=8cm(50cm)/2
A=400cm²/2
A=200cm²
Semicircle
r=d/2
r=30cm/2
r=15cm
A=(πr²)/2
A=(π×(15cm)²)/2
A=(π×225cm²)/2
A=353.4291735 cm²
Total Area
A=353.4291735 cm²+200cm²
A=553.43 cm²
