Answer:
area of trapezoid==1/2 h(d1+d2)=7.5/2(10+(5+2×3+5))=97.5in²
area of semi circle=1/2 πr²=1/2 ×3.14×3²=14.13in²
area of shaded region=97.5-14.13=83.37in²
outside shape = (10x7.5)+(2)(0.5)(7.5x3) = 97.5 in^2
circular cutout = (3.14)(3^2)(0.5) = 14.1 in^2
97.5-14.1 = 83.4 in^2
