We need to find the perimeter of the garden.
Perimeter of rectangle:
P= 19*2+29*2
P= 38+58
P= 96 ft
Perimeter of semicircle:
The diameter is 19ft
P= π*d
P= 3.14*9.5
P= 29.83 ft
Perimeter of the garden:
96+29.83
= 125.83 ft
So the fence has to be 125.83 ft
