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Sophie [7]
3 years ago
13

Determine the area of the composite figure to the nearest whole number

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Check the picture below.

so, let's notice, is really just a 2x20 rectangle with a quarter of a semicircle with a radius of 11.

\bf \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \implies A=\pi 11^2\implies A=121\pi \implies \stackrel{\textit{one quarter of that}}{\boxed{A=\cfrac{121\pi }{4}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\underline{\textit{area of the figure}}}{\stackrel{\textit{rectangle's area}}{(2\cdot 20)}+\stackrel{\textit{circle's quart's area}}{\cfrac{121\pi }{4}}\qquad \approx \qquad 135.03\implies \stackrel{\textit{rounded up}}{135}}

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