Answer :

quasarJose

Given parameters:

We have two shapes, the rectangle and semi circle;

   The problem is to find the perimeter of the shape given

The perimeter of a body is the total length of the body.

 Here, it is the sum of the perimeter of the rectangle and semi-circle.

Note, to remove repetition, we to deduct 6 which is a common point to both of them.

Perimeter of a semi-circle = Circumference of semi- circle

                                            = πr² x [tex]\frac{1}{2}[/tex]

         The diameter here is 6 and radius is 3;

        Circumference of semi-circle = π x 3² x [tex]\frac{1}{2}[/tex]  = 14.14

Perimeter of rectangle = 2(6+8) = 28

The perimeter of the figure = 14.14 + 28 - 6 = 36.1

The perimeter of the figure is 36.1

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