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Composite Figures

Composite Figures. Composite Figures. A composite figure is made up of two or more shapes. To find the area of a composite figure, decompose the figure into shapes with areas you know. Then find the sum of these areas. Example 1.

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Composite Figures

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  1. Composite Figures

  2. Composite Figures • A composite figure is made up of two or more shapes. • To find the area of a composite figure, decompose the figure into shapes with areas you know. Then find the sum of these areas.

  3. Example 1 • This figure can be separated into a semicircle and a parallelogram. To find the area of this composite figure, find the area of the parallelogram, and find the area of the semicircle. Then add the two areas together. • Area of Parallelogram • A = b(h) • A = 11(6) • A = 66m² • Area of Semicircle Area of the composite figure Area of parallelogram + area of semicircle 66 + 14.14 = 80.14m² The area of the composite figure is 80.14m². 6 m 11 m

  4. Example 2 • This figure can be separated into two parallelograms. To find the area of this composite figure, find the area of the two parallelograms. • Area of the smaller parallelogram • A = b(h) • A = 7(7) • A = 49cm² • Area of the larger parallelogram • A = b(h) • A = 9 (20) • A = 180 cm² Area of the composite figure Area of sm. parallelogram + area of lg. parallelogram 49 + 180 = 229 cm² The area of the composite figure is 229 cm². 9 cm 20 cm 7 cm 7 cm

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