See the following figure:
The square has sides of length = 15 ft
The semi-circle has a diameter = d = 15 ft
So, the radius = r = 15/2 = 7.5 ft
The perimeter of the figure is the outer distance of the shape
so, the perimeter =
3 sides of the square + the circumference of the semi-circle
So, the perimeter =
[tex]\begin{gathered} 3\cdot15+0.5\cdot(2\pi\cdot r) \\ =3\cdot15+3.14\cdot7.5 \\ =45+23.55 \\ =68.55ft \end{gathered}[/tex]
So, the perimeter = 68.55 ft
