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P(t) = P(t) = 118,2568 cm

Step-by-step explanation:

The shape is made of half  circle and an equilateral triangle ( this is a triangle with three equal sides ) therefore as the diameter of the circle is one of the sides of the triangle we can write:

Total perimeter P(t) is: the length of the semi-circle plus the length of the two sides of the triangle then:

The length of the semi-circle s  is:  s = π*d

And the length of one side of the triangle is 23 cm

P(t) = π*d + 2*d

P(t) = 3,1416*23 + 2*23

P(t) = 72,2568 + 46

P(t) = 118,2568 cm