1. Warm Up
Lesson Presentation:
Notes page
Lesson Quizzes

2. Warm Up
1. What is the area of a rectangle with length 10 cm and width 4 cm?
2. What is the area of a parallelogram with base 18 ft and height 12 ft?
3. What is the area of a triangle with base 16 cm and height 8 cm?
40 cm2
216 ft2
64 cm2

3. Example 1: Finding Areas of Composite Figures
Find the area of the polygon.
1.7 cm
4.9 cm
1.3 cm
2.1 cm
Think: Break the polygon apart into rectangles.
Find the area of each rectangle.

4. Example 1 Continued
1.7 cm
4.9 cm
1.3 cm
2.1 cm
A = lw
A = lw
Write the formula for the area of a rectangle.
A = 4.9 • 1.7
A = 2.1 • 1.3
A = 8.33
A = 2.73
= 11.06
Add to find the total area.
The area of the polygon is cm2.

5. Example 2: Finding Areas of Composite Figures
Find the area of the polygon.
Think: Break the figure apart into a rectangle and a triangle.
Find the area of each polygon.

6. Example 2 Continued
A = bh 1 2 __
A = lw
A = • 28 • 12 1 2 __
A = 28 • 24
A = 168
A = 672
Add to find the total area of the polygon.
= 840
The area of the polygon is 840 ft2.

7. Example 3
Find the area of the polygon.
1.9 cm
1.9 cm
5.5 cm
1.5 cm
2 cm
5.5 cm
1.5 cm
2 cm
3.4 cm
Think: Break the polygon apart into rectangles.
Find the area of each rectangle.

8. Example 3 Continued
1.9 cm
5.5 cm
1.5 cm
2 cm
A = lw
A = lw
Write the formula for the area of a rectangle.
A = 5.5 • 1.9
A = 2 • 1.5
A = 10.45
A = 3
= 13.45
Add to find the total area.
The area of the polygon is cm2.

9. Example 4
Find the area of the polygon.
20 ft
22 ft
16 ft
36 ft
20 ft
22 ft
Think: Break the figure apart into a rectangle and a triangle.
Find the area of each polygon.

10. Example 4 Continued
16 ft
20 ft
22 ft
22 ft
A = bh 1 2 __
A = lw
A = • 22 • 16 1 2 __
A = 22 • 20
A = 176
A = 440
Add to find the total area of the polygon.
= 616
The area of the polygon is 616 ft2.

11. Additional Example : Art Application
Patrick made a design. Use the coordinate grid to find its area.
Think: Divide the design into rectangles. Find the area of each rectangle.
Rectangle 1
l = 5, w = 5; A = 5 • 5 = 25 25 20
Rectangle 2 15
l = 10, w = 5; A = 10 • 5 = 50 10
Rectangle 3 5
l = 15, w = 5; A = 15 • 5 = 75 5 10 15 20 25
Rectangle 4
l = 20, w = 5; A = 20 • 5 = 100

12. Additional Example Continued
Add the areas of the four rectangles to find the total area of the design.
= 250 square units.
The area of the design is 250 square units.

13. You can also count the squares and multiply by the area of one square
You can also count the squares and multiply by the area of one square. 1 square = 25 square units. 10 • 25 = 250 square units.
Helpful Hint

14. Lawanda made a design. Use the coordinate grid to find its area.
Check It Out: Example 2
Lawanda made a design. Use the coordinate grid to find its area.
Think: Divide the design into rectangles. Find the area of each rectangle.
Rectangle 1 25
l = 5, w = 10; A = 5 • 10 = 50 20 1 15 2
Rectangle 2 10 3
l = 5, w = 15; A = 5 • 15 = 75 5
Rectangle 3 5 10 15 20 25
l = 5, w = 10; A = 5 • 10 = 50

15. Check It Out: Example 2 Continued
Add the areas of the three rectangles to find the total area of the design.
= 175 square units.
The area of the design is 175 square units.

16. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

17. Lesson Quiz
1. Find the area of the figure shown.
220 units2
2. Phillip designed a countertop. Use the coordinate grid to find its area.
30 units2

18. Lesson Quiz for Student Response Systems
1. Find the area of the figure.
A. 27 units B. 54 units2
C. 93 units2 D. 98 units2

19. Lesson Quiz for Student Response Systems
2. Paul arranged tiles to form a model. Use the coordinate grid to identify its area.
A. 25 square units
B. 18 square units
C. 21 square units
D. 16 square units