Area is the physical amount of two dimensional space that a shape takes up. Area is measured in square units. Visually, we can represent area as a two dimensional grid where 1 unit squared is equal to the area of a square with width 1 and height 1.
The area of a circle is give by one-half multiplied by τ (tau) mutliplied by the radius of the circle squared.
The area of a triangle is given by one half multiplied by its width and height.
The area of any parallelogram is equal to the base multiplied by the height.
The area of a trapezoid is given by its height multiplied by the sum of its top length and bottom length divided by two.