# 10-3 Area of Composite Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

## Presentation on theme: "10-3 Area of Composite Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes."— Presentation transcript:

10-3 Area of Composite Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

10-3 Area of Composite Figures 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 cm 2 216 ft 2 64 cm 2

10-3 Area of Composite Figures Problem of the Day Four squares are placed in a row. The square on the far left is 12 inches on a side. The perimeter of each of the other squares is half of the one to its left. What is the perimeter of the combined figure? 69 in.

10-3 Area of Composite Figures Learn to break a polygon into simpler parts to find its area.

10-3 Area of Composite Figures Additional Example 1A: Finding Areas of Composite Figures Find the area of the polygon. Think: Break the polygon apart into rectangles. Find the area of each rectangle. 1.7 cm 4.9 cm 1.3 cm 2.1 cm

10-3 Area of Composite Figures Additional Example 1A Continued A = lw A = 4.9 1.7 A = 2.1 1.3 Write the formula for the area of a rectangle. A = 8.33 A = 2.73 8.33 + 2.73 = 11.06Add to find the total area. The area of the polygon is 11.06 cm 2. 1.7 cm 4.9 cm 1.3 cm 2.1 cm

10-3 Area of Composite Figures Think: Break the figure apart into a rectangle and a triangle. Find the area of each polygon. Additional Example 1B: Finding Areas of Composite Figures Find the area of the polygon.

10-3 Area of Composite Figures Additional Example 1B Continued A = lw A = 28 24 A = 672 A = 168 672 + 168 = 840 Add to find the total area of the polygon. The area of the polygon is 840 ft 2. A = bh 1 2 __ A = 28 12 1 2 __

10-3 Area of Composite Figures Check It Out: Example 1A Find the area of the polygon. Think: Break the polygon apart into rectangles. Find the area of each rectangle. 1.9 cm 1.5 cm 2 cm 3.4 cm 5.5 cm 1.9 cm 5.5 cm 1.5 cm 2 cm

10-3 Area of Composite Figures A = lw A = 5.5 1.9 A = 2 1.5 Write the formula for the area of a rectangle. A = 10.45 A = 3 10.45 + 3 = 13.45Add to find the total area. The area of the polygon is 13.45 cm 2. Check It Out: Example 1A Continued 1.9 cm 5.5 cm 1.5 cm 2 cm

10-3 Area of Composite Figures Check It Out: Example 1B Find the area of the polygon. Think: Break the figure apart into a rectangle and a triangle. Find the area of each polygon. 36 ft 22 ft 20 ft 22 ft 16 ft

10-3 Area of Composite Figures A = lw A = 22 20 A = 440 A = 176 440 + 176 = 616 Add to find the total area of the polygon. The area of the polygon is 616 ft 2. A = bh 1 2 __ A = 22 16 1 2 __ Check It Out: Example 1B Continued 20 ft 22 ft 16 ft

10-3 Area of Composite Figures Additional Example 2: 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 Rectangle 2 l = 10, w = 5; A = 10 5 = 50 Rectangle 3 l = 15, w = 5; A = 15 5 = 75 Rectangle 4 l = 20, w = 5; A = 20 5 = 100 0 10 15 20 5 10 5 15 2025

10-3 Area of Composite Figures Additional Example 2 Continued 25 + 50 + 75 + 100 = 250 square units. Add the areas of the four rectangles to find the total area of the design. The area of the design is 250 square units.

10-3 Area of Composite Figures 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

10-3 Area of Composite Figures 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 l = 5, w = 10; A = 5 10 = 50 Rectangle 2 l = 5, w = 15; A = 5 15 = 75 Rectangle 3 l = 5, w = 10; A = 5 10 = 50 0 10 15 20 5 10 5 15 2025 3 2 1

10-3 Area of Composite Figures Check It Out: Example 2 Continued 50 + 75 + 50 = 175 square units. Add the areas of the three rectangles to find the total area of the design. The area of the design is 175 square units.

10-3 Area of Composite Figures Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

10-3 Area of Composite Figures Lesson Quiz 1. Find the area of the figure shown. 220 units 2 2. Phillip designed a countertop. Use the coordinate grid to find its area. 30 units 2

10-3 Area of Composite Figures 1. Find the area of the figure. A. 27 units 2 B. 54 units 2 C. 93 units 2 D. 98 units 2 Lesson Quiz for Student Response Systems

10-3 Area of Composite Figures 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 Lesson Quiz for Student Response Systems

Download ppt "10-3 Area of Composite Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes."

Similar presentations