Answer:
124 units squared
Step-by-step explanation:
A(parallelogram) = 8 x 10 = 80
A(semicircle) = πr²/2
however, we need to use the Pythagorean Theorem to find 'r'
r² + 6² = 8²
r² = 84-36
r² = 28
r = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{7}[/tex] or 2[tex]\sqrt{7}[/tex]
A = π(2√7)² / 2
A = 4·7π / 2
A = 14π which is approx 44
Total Area = 44 + 80 = 124
