See attached. Need back asap as due in a couple days. Thank you x

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Ответ:

mal5546

25.05.2023

Mathematics

20.56 units.

Step-by-step explanation:

Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.

Perimeter of 4 straight sides $=4\times 2=8\text{ units}$

Perimeter of a arc $=\dfrac{1}{4}\times 2\pi r$

Perimeter of 4 arcs $=4\times \dfrac{1}{4}(2\pi r)=2\pi r$

Here, r is the radius. So,

$r=\dfrac{6-2}{2}=\dfrac{4}{2}=2$

Perimeter of 4 arcs =2(3.14)(2)=12.56

Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs

=8+12.56

$=20.56\text{ units}$

Therefore, the perimeter of the shaded region is 20.56 units.

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