Correct. Area of the rectangle: $\displaystyle{A}={l}\cdot{w}={8}\cdot{4}={32}\usepackage{cmbright}\Huge\$

The diameter of the semicircle is $\displaystyle{d}={8}-{3}-{3}={2}\usepackage{cmbright}\Huge\$ feet, so the radius is 1 foot.

Area of the semicircle: $\displaystyle{A}=\frac{{\pi{{r}}^{{2}}}}{{2}}=\frac{{\pi{{\left({1}\right)}}^{{2}}}}{{2}}=\frac{{\pi\cdot{1}}}{{2}}\approx\frac{{{3.14}\cdot{1}}}{{2}}={1.57}\usepackage{cmbright}\Huge\$

Total area is the sum of the two areas: $\displaystyle{32}+{1.57}={33.57}\usepackage{cmbright}\Huge\$

The composite figure has an approximate area of 33.57 square feet.