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Lesson 9-1

Lesson 9-1. Area of 2-D Shapes. W. A = s². s. L. s. 5. A = 6² = 36 sq. units. 6. 12. 6. Squares and Rectangles. Area of Rectangle: A = LW. Area of Square: A = s². A = LW. Example:. Example:. A = 12 x 5 = 60 sq. units. A. arc. r. C. r. B. Circles and Sectors.

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Lesson 9-1

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  1. Lesson 9-1 Area of 2-D Shapes Lesson 9-1: Area of 2-D Shapes

  2. W A = s² s L s 5 A = 6² = 36 sq. units 6 12 6 Squares and Rectangles Area of Rectangle: A = LW Area of Square: A = s² A = LW Example: Example: A = 12 x 5 = 60 sq. units Lesson 9-1: Area of 2-D Shapes

  3. A arc r C r B Circles and Sectors Area of Circle: A =  r² 9 cm 120° 9 cm Example: Example: A = (9)² = 81  sq. cm Lesson 9-1: Area of 2-D Shapes

  4. b2 h h h b1 b b Triangles and Trapezoids h is the distance from a vertex of the triangle perpendicular to the opposite side. h is the distance from b1 to b2, perpendicular to each base Lesson 9-1: Area of 2-D Shapes

  5. 12 8 7 6 6 Example: Triangles and Trapezoids Lesson 9-1: Area of 2-D Shapes

  6. 8 6 10 9 Parallelograms & Rhombi Area of Parallelogram: A = b h h b Example: Example: A = 9 x 6 = 54 sq. units A = ½ (8)(10) = 40 sq units Lesson 9-1: Area of 2-D Shapes

  7. 8 10 4 14 8 12 Area of Regions The area of a region is the sum of all of its non-overlapping parts. A = ½(8)(10) A= 40 A = (12)(10) A= 120 A = (4)(8) A=32 A = (14)(8) A=112 Area = 40 + 120 + 32 + 112 = 304 sq. units Lesson 9-1: Area of 2-D Shapes

  8. Areas of Regular Polygons If a regular polygon has an area of A square units, a perimeter of P units, and an apothem of a units, then A = ½ (a)(p). Perimeter = (6)(8) = 48 apothem = Area = ½ (48)( ) = sq. units 8 Lesson 9-1: Area of 2-D Shapes

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