1. 6-1 Warm Up Problem of the Day Lesson Presentation
Perimeter & Area of Rectangles & Parallelograms
6-1
Warm Up
Problem of the Day
Lesson Presentation
Course 3

2. Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Bell Ringer 10-13
Graph the line segment for each set of ordered pairs. Then find the length of the line segment.
1. (–7, 0), (0, 0)
2. (0, 3), (0, 6)
3. (–4, –2), (1, –2)
7 units
3 units
5 units

3. Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Perimeter and Area of Rectangles and Parallelograms
Learn to find the perimeter and area of rectangles and parallelograms.
Course 3

4. Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
units2

5. Additional Example 2A: Using a Graph to Find Area
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Additional Example 2A: Using a Graph to Find Area
Graph the figure with the given vertices. Then find the area of the figure.
A. (–1, –2), (2, –2), (2, 3), (–1, 3)
Area of a rectangle.
A = bh
Substitute 3 for b and 5 for h.
A = 3 • 5
A = 15 units2

6. 6-1 Helpful Hint Perimeter & Area of Rectangles & Parallelograms
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
The height of a parallelogram is not the length of its slanted side. The height of a figure is always perpendicular to the base.
Helpful Hint

7. Additional Example 2B: Using a Graph to Find Area
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Additional Example 2B: Using a Graph to Find Area
Graph the figure with the given vertices. Then find the area of the figure.
B. (0, 0), (5, 0), (6, 4), (1, 4)
Area of a parallelogram.
A = bh
Substitute 5 for b and 4 for h.
A = 5 • 4
A = 20 units2

8. Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Try This: Example 2A
Graph the figure with the given vertices. Then find the area of the figure.
A. (–3, –2), (1, –2), (1, 3), (–3, 3) x y
(–3, –2)
(1, –2)
(1, 3)
(–3, 3) 4 5
Area of a rectangle.
A = bh
Substitute 4 for b and 5 for h.
A = 4 • 5
A = 20 units2

9. Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Try This: Example 2B
Graph the figure with the given vertices. Then find the area of the figure.
B. (–1, –1), (3, –1), (5, 3), (1, 3)
(5, 3) x y
(–1, –1)
(3, –1)
(1, 3) 4
Area of a parallelogram.
A = bh
Substitute 4 for b and 4 for h.
A = 4 • 4
A = 16 units2

10. Additional Example 3 Continued
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Additional Example 3 Continued 6 6 3 3 6 5 5
A = 6 • • • 5
Add the areas together. =
= 72 units2

11. Try This: Example 3 Continued
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Try This: Example 3 Continued 2
Find the area of the figure. 4 6 7
Add the areas together.
A = 2 • • • • 2 7 2 2 6 = 2 2
= 38 units2 2 6 4 2 4 7 2 2 + + +

12. 6-1 Perimeter & Area of Rectangles & Parallelograms
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Lesson Quiz: Part 1
1. Find the perimeter of the figure.
12 ft
5 ft
5 ft
4 ft
5 ft
5 ft
44 ft
12 ft

13. 6-1 Perimeter & Area of Rectangles & Parallelograms
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Lesson Quiz: Part 2
2. Find the area of the figure.
12 ft
5 ft
5 ft
4 ft
5 ft
5 ft
108 ft2
12 ft

14. 6-1 Perimeter & Area of Rectangles & Parallelograms
Course 3
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)
50 units2

15. 6-1 Perimeter & Area of Rectangles & Parallelograms Exit Slip 10-13
Course 3
6-1
Perimeter & Area of Rectangles & Parallelograms
Exit Slip 10-13
Graph the figure with the given vertices and find its area.
4. (4, –2), (–2, –2), (–3, 5), (3, 5)
42 units2

16. 6-2 Warm Up Problem of the Day Lesson Presentation
Perimeter and Area of Triangles and Trapezoids
6-2
Warm Up
Problem of the Day
Lesson Presentation
Course 3

17. Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
Warm Up
1. Find the perimeter of a rectangle with side lengths 12 ft and 20 ft.
64 ft
2. Find the area of a rectangle with side lengths 24 in. and 32 in.
768 in2
3. Find the area of a parallelogram with height 9 in. and base length 15 in.
135 in2

18. 6-2 AREA OF A TRIANGLE Words Numbers Formula
Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
AREA OF A TRIANGLE
Words
Numbers
Formula
Triangle: The area A of a triangle is one-half the base length b times the height h.
A = (8)(4)
= 16 units2
1 2

19. 6-2 AREA OF A TRAPEZOID Words Numbers Formula
Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
AREA OF A TRAPEZOID
Words
Numbers
Formula
Trapezoid: The area of a trapezoid is one-half the height h times the sum of the base lengths b1 and b2.
A = (h)(b1 + b2)
1 2
A = (2)(3 + 7)
= 10 units2
1 2

20. Additional Example 2A: Finding the Area of Triangles and Trapezoids
Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
Additional Example 2A: Finding the Area of Triangles and Trapezoids
Graph and find the area of the figure with the given vertices.
A. (–2, 2), (4, 2), (0, 5)
Area of a triangle y
A = bh 1 2
(0, 5)
Substitute for b and h.
= • 6 • 3 1 2 3
(–2, 2)
(4, 2) 6
= 9 units2 x

21. Additional Example 2B: Finding the Area of Triangles and Trapezoids
Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
Additional Example 2B: Finding the Area of Triangles and Trapezoids
Graph and find the area of the figure with the given vertices.
B. (–1, 2), (5, –2), (5, 2), (–1, 6) y
(–1, 6)
Area of a trapezoid
A = h(b1 + b2) 1 2
(5, 2)
Substitute for h, b1, and b2. 8 6 4 x
= • 6(8 + 4) 1 2
(–1, –2)
(5, –2)
= 36 units2

22. 6-2 Perimeter and Area of Triangles and Trapezoids
Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
Try This: Example 2A
Graph and find the area of the figure with the given vertices.
A. (–1, 1), (1, 7), (7, 1)
Area of a triangle y
(1, 7)
A = bh 1 2
Substitute for b and h. 6
= • 8 • 6 1 2
(7, 1)
(–1, 1)
= 24 units2 x 8

23. 6-2 Perimeter and Area of Triangles and Trapezoids
Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
Try This: Example 2B
Graph and find the area of the figure with the given vertices.
B. (–2, –1), (0, 5), (3, 5), (5, –1) y
Area of a trapezoid 3 7 6
(3, 5)
(0, 5)
A = h(b1 + b2) 1 2
Substitute for h, b1, and b2. x
= • 6(7 + 3) 1 2
(–2, –1)
(5, –1)
= 30 units2

24. 6-2 Perimeter and Area of Triangles and Trapezoids Lesson Quiz
Course 3
6-2
Perimeter and Area of Triangles and Trapezoids
Lesson Quiz
Use the figure to find the following measurements.
1. The perimeter of the triangle
36 cm
2. The perimeter of the trapezoid
44 cm
3. The perimeter of the combined figure
64 cm
4. The area of the triangle
54 cm2
5. The area of the trapezoid
104 cm2