The total area will be the area of the semi circle, plus the area of the rectangle, so:
Area of the semicircle:
[tex]\begin{gathered} A_c=\frac{\pi(r^2)}{2} \\ A_c=\frac{\pi(56.25)}{2} \\ A_c=\frac{225}{8}\pi \end{gathered}[/tex]The area of the rectangle is:
[tex]\begin{gathered} Ar=w\cdot l \\ Ar=7\cdot15=105 \end{gathered}[/tex]The total area is:
[tex]T_A=Ac+Ar=193.4[/tex]