How do you find the area of this compound shape?

Break the shape into 2 different ones, there is a triangle on top and a half circle on the bottom:

the radius of the circle is 3 yards, so the diameter would be 6 yards diameter = 2 x radius)

the diameter of the circle is also the base of the triangle.
 the height f the triangle is 5 yards  formula for area of a triangle is 1/2 x b x h

so you have 1/2 x 6 x 5 = 15 square yards

the area for a circle is PI x r^2
 so you have 3.14 x 3^2 = 28.26 for the full circle so divide this by 2 for the half circle:
 area of half circle = 28.26 / 2 = 14.13 square yards
 now add the area of the triangle and half circle together:

14.13 +  15 = 29.13 square yards