Area is a Circle
A = 3.14 x r²
Example: The circle's diameter is 20 feet, therefore the radius (r) is 10 feet. Multiply the known 3.14 by the radius squared.
Thus:
A = 3.14 x 10²
A = 3.14 x 100
A = 314 square feet
Area is a Square and Rectangle
A = Base x Height
Example: Square's or rectangle's base is 10 feet, and the square's or rectangle's height is 10 feet.
Thus:
A = 10 x 10
A = 100 square feet
Area is a Right Triangle
A = (Base x Height) / 2 Example: Triangle's base is 10 feet and the height (base to point) is 20 feet.
Thus:
A = (10 x 20) / 2
A = 200 / 2
A = 100 square feet

Area is a Combination Freeform
Break the free-form area down to obvious forms and calculate each form's area. Once each form is calculated, add the areas together to derive a total area.
Example:
Circle (1) A = 3.14 x r2
Rectangle (2) A = b x h
Square (3) A = b x h