Area of the rectangle
[tex] = l \times b[/tex]
[tex] = 8 \times 6[/tex]
[tex] = 48 {in}^{2} [/tex]
Area of the semicircles
[tex] = 2 \times ( \frac{1}{2} \pi {r}^{2} )[/tex]
[tex] = \pi {r}^{2} [/tex]
[tex] = \pi {3}^{2} [/tex]
[tex] = 9\pi[/tex]
[tex] = 9 \times 3.14[/tex]
[tex] = 28.26 {in}^{2} [/tex]
Area of the figure
[tex] = 48 + 28.26[/tex]
[tex] = 76.26 {in}^{2} [/tex]
= 76.3in²
(rounded)
