We have a rectangle and a half circle.
Calculate the area of the rectangle:
[tex]A_R=l\cdot w\\\\l=19m;\ w=10m\\\\A_R=19\cdot10=190\ m^2[/tex]
Calculate the area of the half circle:
[tex]A_O=\dfrac{1}{2}\pi r^2\\\\r=\dfrac{10m}{2}=5\ m\\\\A_O=\dfrac{1}{2}\pi\cdot5^2=12.5\pi\ m^2[/tex]
Area of the figure:
[tex]A=A_R+A_O\to A=(190+12.5\pi)\ m^2\approx229.25\ m^2[/tex]
The perimeter is equal:
[tex]P=2l+w+\dfrac{1}{2}\cdot2\pi r\\\\P=2\cdot19+10+\pi\cdot5=(48+5\pi)\ m\approx63.7\ m[/tex]
