Respuesta :

Answer:

61.90 ft

Step-by-step explanation:

Perimeter: the boundary that surrounds a shape

1) Find the perimeter of the semicircle using this formula: [tex]\frac{1}{2} *2\pi r[/tex], where [tex]r[/tex] is the radius, and π is 3.14 (according to the question).

1.1) We need to find the radius first.

Radius = Diameter ÷ 2

So, 10 ÷ 2 = 5

1.2) Input the values into the semicircle formula.

[tex]\frac{1}{2} *2(3.14)(5)[/tex]

1.3) solve for the perimeter of the semicircle.

[tex]\frac{1}{2} *31.4[/tex]

= 15.7

2) Find the perimeter of the triangle and the rectangle.

= [tex]6 + 12.2 + 14 + 14[/tex]

= 46.2

3) Add them.

= [tex]46.2 + 15.7[/tex]

= 61.9 ft

3) Round the answer (61.9) to the nearest hundredth (according to the question).

= 61.90 ft

As per the total length of the arc of a semicircle, the outer perimeter of this figure is 61.9 feet.

What is the total length of the arc of a semicircle?

A semicircle that has a radius of 'r' units, has the total length of it's arc is

= πr units

In the given figure, the semicircle has a diameter = 10 feet.

Therefore, the radius of the semicircle

= 10/2 feet

= 5 feet

Now, the total length of it's arc is

= πr units

= 3.14 × 5 feet

= 15.7 feet

Therefore, the outer perimeter of this figure is

= (12.2 + 6 + 14 + 15.7 + 14) feet

= 61.9 feet

Learn more about the total length of the arc of a semicircle here: https://brainly.com/question/27879128

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