1. Chapter 12: Area of Shapes
12.1: Area of Rectangles

2. 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

3. Section 12.2: Moving and Additive Principles About Area

4. 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.

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

6. Ex 1:

7. Ex 2: Determine the
area of the following
shape.

8. 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?

9. See Activity 12 C, problem 1

10. Ex 4: Determine the area of the following hexagon.