Can someone tell me how to solve this please? Can you show the steps!!!

Option B:

The perimeter of the figure is 16 + 2π.

Solution:

The clear image of the question is attached below.

Diameter of the semicircle = 7 – 3 = 4

Radius of the semicircle = 4 ÷ 2 = 2

Perimeter of the semicircle =

In figure, one side of the semicircle is merged with rectangle, so remove two radius from the perimeter of the semicircle.

Perimeter of the semicircle =  

                                             = 2π units

Perimeter of the rectangle given = 3 + 7 + 3 + 3

                                                       = 16 units

Perimeter of the given figure = 2π + 16

                                                = (16 + 2π) units

Hence the perimeter of the figure is 16 + 2π.

Option B is the correct answer.

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answer: 1 and 3

step-by-step explanation: