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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Are of the given figure is ~

[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The area of the compound shape is equal to ~

Area of rectangle + Area of semi - circle

let's find the Area of rectangle ~

  • [tex]length \times width[/tex]

  • [tex]11 \times 4[/tex]

  • [tex]44 \: \: {cm}^{2} [/tex]

now, let's find the Area of Semicircle ~

  • [tex] \dfrac{ \pi{r}^{2} }{2} [/tex]

  • [tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex]

  • [tex]6.28 \: \: c {m}^{2} [/tex]

So, Area of the given figure is equal to ~

  • [tex]44 + 6.28[/tex]

  • [tex]50.28 \: \: cm {}^{2} [/tex]

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