Answer:
B) 194.24cm²
Step-by-step explanation:
Find the area of each section and add up the areas:
Area of Triangle
[tex]A=bh[/tex]
[tex]A=\frac{1}{2}(6)(8) [/tex]
[tex]A=\frac{1}{2}(48) [/tex]
[tex]A=24cm^2[/tex]
Area of Rectangle
[tex]A=bh[/tex]
[tex]A=(15)(8)[/tex]
[tex]A=120cm^2[/tex]
Area of Semi-circle
[tex]A=\frac{1}{2}(\pi r^2) [/tex]
[tex]A=\frac{1}{2}(\pi*4^2) [/tex]
[tex]A=\frac{1}{2}(16\pi) [/tex]
[tex]A=8\pi cm^2[/tex]
Total area of figure
[tex]A=24cm^2+120cm^2+16\pi cm^2\approx194.27cm^2[/tex]
Therefore, your best answer is 194.24cm²
