1. Area of Basic and Composite Shapes

2. Warm-Up When carpeting, you must calculate the amount of floor space. Sometimes the space is made up of several types of shapes. 1. Identify some of the polygons that make up the family room, nook, and foyer area shown in this floor plan. 2. How can the polygons be used to find the total area that will be carpeted? Family Room Nook Foyer Dining

3. Area The amount of space a shape takes up. Área - La cantidad de espacio de una forma ocupa Examples: 8 inches 14 cm 20 cm

4. Composite Figures A composite figure is made up of two or more shapes. To find the area of a composite figure, separate the figure into shapes whose areas you know how to find. Then find the sum of these areas. Una figura compuesta se compone de dos o más formas.

5. Let’s Watch a Movie!

6. Find the Area of a Composite Figure The figure can be separated into a semicircle and a triangle. 4 m 11 m

7. Find the Area of a Composite Figure Area of Semicircle A = ½ π r² A = ½ * π * 4² A ≈ 24 4 m 11 m Area of Triangle A = ½ bh A = ½ * (4*2) * 11 A = 44 The area of the figure is about 24 + 44 or 68 square meters

8. Example Problem Find the area of the figure. 12 cm 18 cm 12 cm 6 cm

9. Example Problem Find the area of the figure. 16 m 7 m

10. Example Problem Find the area of the figure. 25 in. 13 in. 20 in.

11. Up Next… Activity 1: Area of Basic and Composite Shapes