1. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms 6-1 Perimeter & Area of Rectangles & Parallelograms Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Learning Goal Assignment Learn to find the perimeter and area of rectangles and parallelograms.

3. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Perimeter is the distance around the outside of a figure. To find the perimeter of a figure, add the lengths of all its sides. Height Side Base Any side of a rectangle or parallelogram can be chosen as the base. The height is measured along a line perpendicular to the base. Rectangle Parallelogram

4. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Additional Example 1A: Finding the Perimeter of Rectangles and Parallelograms A. Find the perimeter of the figure. 5 14

5. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms 6 11 Try This: Example 1A A. Find the perimeter of the figure.

6. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms The formula for the perimeter of a rectangle can be written as P = 2b + 2h, where b is the length of the base and h is the height. Helpful Hint

7. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Additional Example 1B: Finding the Perimeter of Rectangles and Parallelograms 20 16 B. Find the perimeter of the figure.

8. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms 13 5 Try This: Example 1B B. Find the perimeter of the figure.

9. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Area is the number of square units in a figure. A parallelogram can be cut and the cut piece shifted to form a rectangle with the same base length and height as the original parallelogram. So a parallelogram has the same area as a rectangle with the same base length and height.

10. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms units 2

11. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms A. (–1, –2), (2, –2), (2, 3), (–1, 3) Additional Example 2A: Using a Graph to Find Area Graph the figure with the given vertices. Then find the area of the figure.

12. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Try This: Example 2A A. (–3, –2), (1, –2), (1, 3), (–3, 3) Graph the figure with the given vertices. Then find the area of the figure.

13. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms B. (0, 0), (5, 0), (6, 4), (1, 4) Additional Example 2B: Using a Graph to Find Area Graph the figure with the given vertices. Then find the area of the figure.

14. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms B. (–1, –1), (3, –1), (5, 3), (1, 3) Try This: Example 2B Graph the figure with the given vertices. Then find the area of the figure.

15. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Additional Example 3: Finding Area and Perimeter of a Composite Figure Find the perimeter and area of the figure. 5 5 3 3 6 66

16. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Try This: Example 3 7 4 6 2 6 4 ? 7 2 Find the perimeter of the figure. The length of the side that is not labeled is 2. 2

17. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Lesson Quiz: Part 1 1. Find the perimeter of the figure. 12 ft 4 ft5 ft

18. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Lesson Quiz: Part 2 2. Find the area of the figure. 12 ft 4 ft5 ft

19. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Lesson Quiz: Part 3 Graph the figure with the given vertices and find its area. 3. (–4, 2), (6, 2), (6, –3), (–4, –3)

20. Pre-Algebra 6-1 Perimeter & Area of Rectangles & Parallelograms Lesson Quiz: Part 4 Graph the figure with the given vertices and find its area. 4. (4, –2), (–2, –2), (–3, 5), (3, 5)