Chapter 12: Area of Shapes 12.1: Area of Rectangles

Area of Rectangles The Area of an L-unit by W-unit rectangle is Area = L x W True for any non-negative values L and W

Section 12.2: Moving and Additive Principles About Area

The Moving and Additive Principles Moving Principle: If you move a shape rigidly without stretching it, then its area does not change. Rigid motions include translations, reflections, and rotations Additive Principle: If you combine a finite number of shapes without overlapping them, then the area of the resulting shape is the sum of the areas of the individual shapes.

Example Problems Ex 1: Determine the area of the following shape.

Ex 1:

Ex 2: Determine the area of the following shape.

Ex 3: The UK Math Department is going to retile hallway of the 7th floor of POT, shown below. How many square feet is the hallway?

See Activity 12 C, problem 1

Ex 4: Determine the area of the following hexagon.