1. 5 Minute Check

2. Find the area. Complete in your notebook. 1. 6in 9in

3. 5 Minute Check Find the area. Complete in your notebook. 1. 6in 9in 9 in · 6in = 54 in²

4. 5 Minute Check Find the area. Complete in your notebook. 2. 13.5ft 2.5ft

5. 5 Minute Check Find the area. Complete in your notebook. 2. 13.5ft 2.5ft 13.5 ft · 2.5 ft = 33.75 ft²

6. 5 Minute Check Find the area. Complete in your notebook. 3. 1.2cm 9.8cm

7. 5 Minute Check Find the area. Complete in your notebook. 1.2 cm · 9.8 cm = 11.76 cm² 3. 1.2cm 9.8cm

8. 5 Minute Check

10. Friday, March 6 Chapter 6.9.1/6.9.2 Area of Parallelograms And Triangles

11. Area of Parallelograms Objective: To find areas and missing dimensions of parallelograms and triangles.

12. Area of Parallelograms A polygon is a closed figure formed by 3 or more straight lines.

13. Area of Parallelograms A polygon is a closed figure formed by 3 or more straight lines. A quadrilateral is a polygon with 4 sides.

14. Area of Parallelograms A polygon is a closed figure formed by 3 or more straight lines. A quadrilateral is a polygon with 4 sides. A triangle is a polygon with three sides.

15. Area of Parallelograms A parallelogram is a quadrilateral with opposite sides parallel and equal in length.

16. Area of Parallelograms A rhombus is a parallelogram with all equal sides.

17. Area of Parallelograms The area A of a parallelogram is the length l multiplied by the height h. A = lh The length and height must be perpendicular to each other. Connected by a 90˚ angle. h l

18. Area of Parallelograms A formula is an equation that shows a relationship among certain quantities. The formula to find the area of a parallelogram is A = lh

19. Area of Parallelograms What is the area of the parallelogram?

20. Area of Parallelograms What is the area of the parallelogram? A =lh l = ?

21. Area of Parallelograms What is the area of the parallelogram? A =lh l = 6 h = ?

22. Area of Parallelograms What is the area of the parallelogram? A =lh l = 6 h = 8 What is the area?

23. Area of Parallelograms What is the area of the parallelogram? A =lh l = 6 h = 8 What is the area? A = 6 · 8 = 48 units² or 48u²

24. Area of Parallelograms What is the area of the parallelogram? Do this on your own.

25. Area of Parallelograms What is the area of the parallelogram? l = 20cm h = 11cm A = 11cm · 20cm = 220cm²

26. Area of Parallelograms What is the area of the parallelogram? Do this on your own.

27. Area of Parallelograms What is the area of the parallelogram? l = 4m h = 16m A = 4m · 16m = 64m²

28. Area of Parallelograms Find the area of the parking space.

29. Area of Parallelograms

30. Find the area of the shaded region. Do this on your own.

31. Area of Parallelograms Find the area of the shaded region. Area of the rectangle 25 · 11 = 275ft² Area of the parallelogram 4 · 12 = 48ft² The area of the shaded region is the area of the rectangle minus the area of the parallelogram, 275ft² - 48ft² = 227ft²

32. Area of Parallelograms Find the area of the shaded region.

33. Area of Parallelograms Find the area of the shaded region. Area of the square 6 · 6 = 36cm² Area of the parallelogram 15 · 8 = 120cm² The area of the shaded region is the area of the parallelogram minus the area of the square, 120cm² - 36cm² = 84cm²

34. Area of Parallelograms What is the height of the parallelogram if the area is 32 in²? 8 in

35. Area of Parallelograms

36. What is the length of the parallelogram if the area is 17.85 cm²?

37. Area of Parallelograms

38. Area of Triangles

39. The formula for the area of a triangle is h h l b The base of a triangle is the same as the length of a parallelogram or rectangle.

40. Area of Parallelograms The “base” is the same as “length”. I prefer to use the term “length”, but most formulas use “base”. The “base” in this instance has a lower case “b”.

41. Area of Triangles Find the area of the triangle. Do this on your own.

42. Area of Triangles Find the area of the triangle. A = A = 12u²

43. Area of Triangles Find the area of the triangle. Do this on your own.

44. Area of Triangles

45. Find the area of the triangle. Do this on your own.

46. Area of Triangles 38.72m²

47. Area of Triangles Consuela made a triangular box as shown. What is the area of the top of the box? Do this on your own.

48. Area of Triangles

49. What is the area of the white section in the flag? Do this on Your own.

50. Area of Triangles

51. If the area of a triangle is 245 in² and the height is 14 in, what is the base?

52. Area of Triangles

53. If the area of a triangle is 256.5 cm² and the length is 27 cm, what is the height?

54. Area of Triangles

55. Area of Parallelograms Is a square a parallelogram? Why is the formula to find the area of a rectangle the same as the formula to find the area of a parallelogram?

56. Area of Parallelograms Is a square a parallelogram? Why is the formula to find the area of a rectangle the same as the formula to find the area of a parallelogram? A parallelogram is just a rectangle where a part has been moved.

57. Area of Triangles Is a square a parallelogram? Why is the formula to find the area of a triangle half of the formula to find the area of a rectangle?

58. Area of Triangles Is a square a parallelogram? Why is the formula to find the area of a triangle half of the formula to find the area of a rectangle? A rectangle is just two congruent triangles.

59. Area of Parallelograms Is a square a parallelogram? If x = 5 and y, x, which figure has a greater area? Explain.

60. Area of Parallelograms Is a square a parallelogram? If x = 5 and y, x, which figure has a greater area? Explain. The rectangle; The area of the rectangle is 5y units². Since the height of the parallelogram is less than y, the area must be less than 5y units².

61. Area of Parallelograms Agenda Notes Homework– Homework 6.9.1/6.9.2 Due Monday, March 9 Mid-Chapter 6.9 Quiz –Tuesday, March 10