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Transparency 3. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 3-3f. Objective. Find the area of complex figures. Example 3-3f. Vocabulary. Complex figure. A figure that is made up of two or more shapes. Lesson 3 Contents.

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  1. Transparency 3 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 3-3f Objective Find the area of complex figures

  4. Example 3-3f Vocabulary Complex figure A figure that is made up of two or more shapes

  5. Lesson 3 Contents Example 1Find the Area of a Complex Figure Example 2Find the Area of a Complex Figure

  6. Example 3-1a Find the area of the complex figure. Triangle Rectangle 2 3 1 Triangle Identify each shape in the figure Find the area of each shape then add the areas together! Muy facil! 1/2

  7. Example 3-1a 1 Find the area of the complex figure. 2 3 A = 5 in2 Write formula for area of triangle Replace b with 5 Replace h with 2 Multiply 1/2

  8. Example 3-1a 1 Find the area of the complex figure. Triangle 1: A = 5 in2 2 Triangle 3: A = 5 in2 3 Triangle 3 has the same measurements of triangle 1 so area will be the same Find area of rectangle 1/2

  9. Example 3-1a 1 Find the area of the complex figure. Triangle 1: A = 5 in2 2 Triangle 3: A = 5 in2 A = L  W A = 7  5 3 A = 35 in2 Write formula for area of rectangle Replace L with 7 Replace W with 5 Multiply 1/2

  10. Example 3-1a 1 Find the area of the complex figure. Triangle 1: A = 5 in2 2 Triangle 3: A = 5 in2 Rectangle: A = 35 in2 3 Answer: Total Area = 45 in2 Add the 3 areas together 1/2

  11. Answer: Example 3-1c Find the area of the complex figure. 1/2

  12. Example 3-2a Find the area of the complex figure. 2 3 1 Semi-circle Rectangle Semi-circle Identify each shape in the figure Find the area of each shape then add the areas together! 2/2

  13. Example 3-2a Find the area of the complex figure. 2 3 1 Write formula for area of a circle Remember: it is a semi-circle so divide the area by 2 or multiply by ½ Replace r with 3 Remember: radius is half the diameter 2/2

  14. Example 3-2a Find the area of the complex figure. 2 3 1 Follow Order of Operations P E MD AS 9 Find 32 Multiply A = 14.14 cm2 2/2

  15. Example 3-2a Find the area of the complex figure. Semi-Circle 1: A = 14.14 cm2 2 3 1 Semi-Circle 3: A = 14.14 cm2 Semi-Circle 3 has the same measurements of Semi-Circle 1 so area will be the same Find area of rectangle 2/2

  16. Example 3-2a Find the area of the complex figure. Semi-Circle 1: A = 14.13 cm2 2 3 1 Semi-Circle 3: A = 14.13 cm2 Write formula for area of rectangle A = L  W Replace L with 12  6 A = 12 Replace W with 6 A = 72 cm2 Multiply 2/2

  17. Example 3-2a Find the area of the complex figure. Semi-Circle 1: A = 14.13 cm2 2 3 1 Semi-Circle 3: A = 14.13 cm2 Rectangle 2: A = 72 cm2 Answer: Add the 3 areas together Total Area = 100.28 cm2 2/2

  18. Example 3-2c Find the area of the complex figure. Round to the nearest hundredth. Answer: 15.57 ft2 2/2

  19. End of Lesson 3 Assignment

  20. Example 3-3a Below are plans for the new deck on the Obwena’s house. How many square feet of wood will be needed if one square represents two square feet? 3:3

  21. Example 3-3a SHORT-RESPONSE TEST ITEMBelow are plans for the new deck on the Obwena’s house. How many square feet of wood will be needed if one square represents two square feet? Read the Test ItemYou need to find the area of the deck in square units and then multiply this result by 2 to find the area of the deck in square feet. 3:3

  22. Example 3-3b Solve the Test ItemFind the area of the deck by dividing it into smaller areas. 2:3

  23. or 4 or 2 or 6 Example 3-3c Region A Square Region B Triangle Region C Rectangle 2:3

  24. or 8 Example 3-3d Region D Rectangle Region ETriangle Region FRectangle 2:3

  25. Example 3-3e Region G Triangle Region HSquare 2:3

  26. Example 3-3e Add areas: Area = A + B + C + D + E + F + G + H Area = 4 + 2 + 6 + 8 + 4 + 6 + 2 + 4 Multiply by 2 since each square on the deck plan equals 2 feet2 Area = 36 feet2 36  2 Answer: Deck = 72 feet2 2:3

  27. Example 3-3f * SHORT-RESPONSE TEST ITEMBelow are plans for the new patio to be added in the Murphy’s back yard. How many square feet of concrete will need to be poured if one square represents two square feet? Answer: 2:3

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